A. Adrot, Diagnostic à base de modèles incertains utilisant l'analyse par intervalles : l'approche bornante, Thèse de doctorat, 2000.

A. Dibo and M. , Validation de données et diagnostic des systèmes incertains à l'aide de l'analyse par intervalle, Thèse de doctorat, 2005.

M. Amara, Contribution à l'étude des aspects énergétiques en robotique mobile, Thèse de doctorat, Institut Nationales des Sciences Appliquées de, 1991.

D. Arz03-]-arzelier, J. Bernussou, D. Henrion, and D. Peaucelle, Optimisation et th??orie de la commande robuste, Journal sur l'Enseignement des Sciences et Technologies de l'Information et des Systèmes, J3EA, 2(hors-série 1), 2003.
DOI : 10.1051/bib-j3ea:2003504

J. M. Bertrand, Analyse structurelle et comande par découplage entrée-sortie des modèles bond graphs, Thèse de doctorat, Université des sciences et technologies de, 1997.

J. M. Bertrand, C. Sueur, and G. Dauphin-tanguy, On the nite and innite structures of bond-graph models, IEEE Conference on Computational Cybernetics and Simulation, p.24722477, 1997.

J. M. Bertrand, C. Sueur, and G. Dauphin-tanguy, Input-output decoupling with stability for bond graph models, Nonlinear Dynamics and Systems Theory, p.3958, 2000.

E. Bideaux, D. Martin-de-argenta, W. Marquis-favre, and S. Scavarda, Applying causality and bicausality to multi-port elements in bond graphs, International Conference on Bond Graph Modelling and Simulation, 2001.

P. Bogaert, Probabilités pour scientiques et ingénieurs, 2006.

L. S. Bonderson, Vector Bond Graphs Applied to One-Dimensional Distributed Systems, Journal of Dynamic Systems, Measurement, and Control, vol.97, issue.1, p.7582, 1975.
DOI : 10.1115/1.3426876

F. Bontempi and L. Faravelli, Langrangian/eulrian description of dynamic system, Journal of Engineering Mechanics, vol.124, issue.8, p.901911, 1998.

. Bor92, P. Borne, G. Dauphin-tangy, J. P. Richard, and F. Rotella, Zambettakis, I. Modélisation et identication des processus, Méthodes et techniques de l'ingénieur, 1992.

P. Borne, J. P. Richard, G. Dauphin-tanguy, I. Zambettakis, W. Borutzky et al., Analyse et régulation des processus industriels : régulation numérique Determining sensitivities from an incremental true bond graph, Editions TECHNIP, 1993.

W. Borutzky and J. Granda, Bond graph based frequency domain sensitivity analysis of multidisciplinary systems, International Conference on Bond Graph Modeling and Simulation Proceedings of the Institution of Mechanical Engineers Part I -Journal of Systems and Control Engineering, p.388599, 2001.
DOI : 10.1243/0959651021541453

W. Borutzky and G. Dauphin-tanguy, Incremental bond graph approach to the derivation of state equations for robustness study. Simulation Modelling Practice and Theory, p.4160, 2004.

W. Borutzky, G. Dauphin-tanguy, and C. Kam, Relations between two bond graph approaches to sensitivity analysis and study of robustness, Mathematical and Computer Modelling of Dynamical Systems, pp.141-157, 2006.
DOI : 10.1109/TCT.1969.1082965

P. Bouron, Méthodes ensemblistes pour le diagnostic, l'estimation d'etat et la fusion de données temporelles, Thèse de doctorat, 2002.

P. Brémaud, Introduction aux probabilités -Modélisation des phénomènes aléatoires

I. Braems, Méthodes ensemblistes garanties pour l'estimation de grandeurs physiques

I. Braems, N. Ramdani, A. Boudenne, L. Jaulin, L. Ibos et al., New setmembership techniques for parameter estimation in presence of model uncertainty, International Conference on Inverse Problems in Engineering : Theory, Practice, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00518721

P. C. Breedveld, Proposition for an Unambiguous Vector Bond Graph Notation, Journal of Dynamic Systems, Measurement, and Control, vol.104, issue.3, p.267270, 1982.
DOI : 10.1115/1.3139707

P. C. Breedveld, Thermodynamic Bond Graphs and the Problem of Thermal Inertance, Journal of the Franklin Institute, vol.314, issue.1, p.1540, 1982.
DOI : 10.1016/0016-0032(82)90050-3

P. Bre84a-]-breedveld, Decomposition of multiport elements in a revised multibond graph notation, Journal of the Franklin Institute, vol.318, issue.4, p.253273, 1984.
DOI : 10.1016/0016-0032(84)90014-0

P. C. Breedveld, Physical systems theory in terms of bond graphs, Thèse de doctorat, 1984.

P. C. Breedveld, A denition of multibond graph language, Proceedings of the 11th International Association for Mathematics and Computers in Simulation (IMACS) World Congress on Scientic Computation, p.325328, 1985.

P. C. Breedveld, Exhaustive canonical decompositions of linear two-ports, International Conference on Bond Graph Modeling and Simulation, p.1116, 1995.

P. Breedveld, Modeling and simulation of dynamic systems using bond graphs, Control Systems, Robotics and Automation, 2008.

R. W. Brockett, Poles, zeros, and feedback : State space interpretation, IEEE Transactions on Automatic Control, vol.10, issue.2, p.129135, 1965.
DOI : 10.1109/tac.1965.1098118

R. W. Brockett, Poles, zeros, and feedback : State space interpretation, IEEE Transactions on Automatic Control, p.10129135, 1965.
DOI : 10.1109/tac.1965.1098118

R. W. Brockett and M. D. Mesarovi¢, The reproducibility of multivariable systems, Journal of Mathematical Analysis and Applications, vol.11, p.548563, 1965.
DOI : 10.1016/0022-247X(65)90104-6

F. Brown, Direct Application of the Loop Rule to Bond Graphs, Journal of Dynamic Systems, Measurement, and Control, vol.94, issue.3, p.253261, 1972.
DOI : 10.1115/1.3426596

J. M. Cabanellas, J. Felez, C. Vera, R. Castro-linares, and C. Moog, A formulation of the sensitivity analysis for dynamic systems optimization based on pseudo bond graphs Structure invariance for uncertain nonlinear systems, International Conference on Bond Graph Modeling and Simulation, ICBGM'95, pp.135144-3921542158, 1994.

D. Chablat, P. Wenger, F. Majou, and J. P. Merlet, An interval analysis based study for the design and the comparison of three-dof parallel kinematic machines, International Journal of Robotics Research, vol.23, issue.6, p.615624, 2004.

S. Chakraborty, Some applications of dirac's delta function in statistics for mre than one random variable. Applications and applied mathematics, 2008.

B. Chereji, O. Mouhib, W. Marquis-favre, D. Thomasset, J. Pousin et al., An optimal control problem : bond graph representation and solver implementation, Proceedings of the 5th Vienna International Conference on Mathematical Modelling, p.814, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00403236

J. B. Chen, W. Fan, and J. Li, Solution of generized density evolution equation via a family of delta sequences, Chinese Journal of Theoretical and Applied, vol.41, issue.3, p.398409, 2009.

J. B. Chen and J. Li, A note on the principle of preservation of probability and probability density evolution equation, Probabilistic Engineering Mechanics, vol.24, issue.1, p.5159, 2009.
DOI : 10.1016/j.probengmech.2008.01.004

P. Codron, L. Ballois, and S. , Automatique : Systèmes linéaires et continus, 1998.

C. Com82-]-commault and J. M. Dion, Structure at innity of linear multivariable systems : a geometric approach, IEEE Transactions on Automatic Control, issue.3, p.27693696, 1982.

C. Commault, J. Descusse, J. M. Dion, J. F. Lafay, and M. Malabre, New decoupling invariants: the essential orders, International Journal of Control, vol.44, issue.3, p.689700, 1986.
DOI : 10.1080/00207178208922649

C. Commault, J. M. Dion, and J. Torres, Invariant spaces at innity of linear systems application to block decoupling, IEEE Transactions on Automatic Control, issue.5, pp.35618-623, 1990.

J. L. Com93a-]-comba and J. Stol, Ane arithmetic and its applications to computer graphics, SIBGRAPI'93, 1993.

C. Commault, J. M. Dion, and M. Benahcene, On dynamic decoupling of structured systems, Proceedings of 32nd IEEE Conference on Decision and Control, p.13301335, 1993.
DOI : 10.1109/CDC.1993.325403

C. M. Dafermos, Hyperbolic conservation laws in continuum physics, 2000.

R. C. Dalang and D. Conus, Introduction à la théorie des probabilités, 2008.

V. Dami¢ and J. Montgomery, Mechatronics by Bond-Graphs -An Object-Oriented Approach to Modelling and Simulation, 2003.

G. Dau99a-]-dauphin-tanguy, Les bond graphs et leur application en mécatronique, Techniques de l'ingénieur, number S7222, 1999.

G. Dauphin-tanguy and C. S. Kam, How to model parameter uncertainties in a bond graph framework, European Simulation Symp, vol.33, p.121125, 1999.

G. Dauphin-tanguy, Les bond graphs, Hermès Sciences, 2000.

G. Dau03-]-dauphin-tanguy, C. S. Kam, and P. Kubiak, Uncertainties in multiport elements, International Conference on Bond Graph Modeling and Simulation, ICBGM'03, 2003.

B. Decotte, Identiabilité structurelle des modèles bond graphs, Thèse de doctorat, 2002.

A. Dequidt, Contribution à une approche interdisciplinaire de la conception des systèmes mécaniques commandés -Application aux axes des machines, Thèse de doctorat, 1998.

. Deq00, A. Dequidt, J. Castelain, and E. Valdès, Mechanical pre-design of high performance motion servomechanisms. Mechanism and Machine Theory, p.10471063, 2000.

. Der05 and A. Derkaoui, Dimensionnement pour des critères dynamiques et énergétiques de systèmes mécatroniques comportant des sous-systèmes à paramètres répartis, Thèse de doctorat, Institut Nationale des Sciences Appliquées et de Technologie de, 2005.

J. Des82-]-descusse and J. M. Dion, On the structure at innity of linear square decoupled systems, IEEE Transactions on Automatic Control, issue.4, p.27971974, 1982.

J. Des85-]-descusse, J. F. Lafay, and M. Malabre, Solution of the satic-state feedback decoupling problem for linear systems with two outputs, IEEE Transactions on Automatic Control, AC, issue.9, p.30914918, 1985.

J. Descusse, J. F. Lafay, and M. Malabre, Solution to morgan problem, IEEE Transactions on Automatic Control, vol.33, issue.8, p.732739, 1988.

J. M. Dio82-]-dion and C. Commault, Smith-mcmillan factorisations at innity of rational matrix functions and their control interpretation, Systems and Control Letters, vol.1, p.312320, 1982.

J. M. Dion and C. Commault, Feedback decoupling of structured systems, IEEE Transactions on Automatic Control, vol.38, issue.7, p.11321135, 1993.
DOI : 10.1109/9.231471

J. M. Dio03-]-dion, C. Commault, and J. Van-der-woude, Generic properties and control of linear structured systems : a survey, Automatica, issue.7, p.3911251144, 2003.

S. W. Dir68-]-director and R. A. Roher, On the ecient computation of the rst-order network sensitivities for frequency domain studies of lumped, linear, time-invariant networks

J. Distefano, A. J. Stubberud, and I. J. Williams, Theory and problems of feedback and control systems. Shaum's Outline Series, 1967.

P. Dorato, Noise-intensity sensitivity in optimal stochastic systems, Second IFAC, System sensitivity and adaptivity, 1968.

P. Dorato, On the Inverse of Linear Dynamical Systems, IEEE Transactions on Systems Science and Cybernetics, vol.5, issue.1, p.4348, 1969.
DOI : 10.1109/TSSC.1969.300243

B. G. Dos57-]-dostupov and V. S. Dostupov, The equation for the integral of a system of ordinary dierential equations containing random parameters, p.620630, 1957.

J. Doyle, Analysis of feedback systems with structured uncertainties, IEE Proceedings D Control Theory and Applications, vol.129, issue.6, p.242250, 1982.
DOI : 10.1049/ip-d.1982.0053

C. Drocourt, Localisation et modélisation de l'environnement d'un robot mobile par coopération de deux capteurs omnidirectionnels, Thèse de doctorat, 2002.

H. El-owny, Hansen's generalized interval arithmetic realized in c-xsc. Rapport technique, 2006.

E. Feki, M. , D. Loreto, M. Bideaux, E. Thomasset et al., On the role of essential orders on feedback decoupling and model inversion : bond graph approach
URL : https://hal.archives-ouvertes.fr/hal-00374603

E. Feki, M. , D. Loreto, M. Bideaux, E. Thomasset et al., Structural properties of inverse models represented by bond graph, 17th IFAC World Congress, p.236241, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00375777

M. Marquis-favre, W. Krähenbühl, and D. Thomasset, Bond graph representation of standard interconnection model, Proceedings of International Conference on Bond Graph Modeling and Simulation, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00476283

E. Feki, M. Jardin, A. Marquis-favre, W. Krähenbühl, L. Bideaux et al., Determination of essential orders from a bond graph model, ASME Journal of Dynamic Systems, Measurement, and Control, p.2011
URL : https://hal.archives-ouvertes.fr/hal-00639590

E. Feki, M. Jardin, A. Marquis-favre, W. Krähenbühl, L. Thomasset et al., Structural analysis by bond graph approach : Duality between causal and bicausal procedures

F. J. Evans and C. Schizas, Digraph analysis of large-scale systems: the system primitive, Electronics Letters, vol.15, issue.20, p.613614, 1979.
DOI : 10.1049/el:19790437

P. Eykho, System identication, 1974.

I. Fagarasan, S. Ploix, and S. Gentil, Causal fault detection and isolation based on a setmembership approach, Automatica, issue.13, p.4020992110, 2004.

P. L. Fal67-]-falb and W. A. Wolovich, Decoupling in the design and synthesis of multivariable control systems, IEEE Transactions on Automatic Control, vol.12, issue.6, p.651659, 1967.

W. Favre, Contribution à la représentation bond graph des systèmes mécaniques multicorps, Thèse de doctorat, 1997.

P. M. Frank, Introduction to system sensitivity theory. Academic press, 1978.
DOI : 10.1109/tsmc.1980.4308508

O. I. Franksen, P. Falster, and F. J. Evans, Structural aspects of controllability and observability???I. tensorial aggregation, Journal of the Franklin Institute, vol.308, issue.2, p.79104, 1979.
DOI : 10.1016/0016-0032(79)90079-6

O. I. Fra79b-]-franksen, P. Falster, and F. J. Evans, Structural aspects of controllability and observability -ii. digraph decomposition, Journal of Franklin Institute, vol.308, issue.2, p.105124, 1979.

Y. C. Fung, A rst course in continuum mechanics, 1994.

F. Gantmacher, Théorie des matrices -Tome 1, 1966.

G. Gandanegara, Méthdologie de conception systémique en génie éectrique à l'aide de l'outil bond graph -applicationà une chaîne de traction ferrovière, Thèse de doctorat, 2003.

. Gan07, G. Gandanegara, G. Roboam, C. Maré, J. Serena et al., Synthesis oan electrohydrosttic actuator from bicausal bod graphs, Proceedings of the International Conference on Bond Graph Modeling and Simulation, p.7178, 2007.

P. J. Gawthrop, Bond graphs: A representation for mechatronic systems, Mechatronics, vol.1, issue.2, p.127156, 1991.
DOI : 10.1016/0957-4158(91)90040-H

P. J. Gawthrop, bicausal bond graphs, International Conference on Bond Graph modeling and Simulation, ICBGM'95, 1995.

. Gaw99, P. J. Gawthrop, E. Ronco, . Gaw00, P. J. Gawthrop et al., A sensitivity bond graph approach to estimation and control of mechatronic systems Estimation and control of mechatronics systems using sensitivity bond graphs, Control Engineering Practice Control Engineering Practice, vol.8, issue.811, p.13714812371248, 1999.

I. Gihman, Theory of stochastic Processes, 1975.
DOI : 10.1007/978-3-642-61943-4

E. G. Gilbert, The Decoupling of Multivariable Systems by State Feedback, SIAM Journal on Control, vol.7, issue.1, p.5063, 1969.
DOI : 10.1137/0307004

J. C. Gil, A. Pedraza, M. Delgado, and H. Sira-ramirez, Flatness and passivity from a bond graph, 1997 IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation, p.15161521, 1997.
DOI : 10.1109/ICSMC.1997.638207

K. Glover and L. M. Silverman, Characterization of structural controllability, IEEE Transactions on Automatic Control, vol.21, issue.4, p.534537, 1976.
DOI : 10.1109/TAC.1976.1101257

A. Glumineau and C. H. Moog, Essential orders and the non-linear decoupling problem, International Journal of Control, vol.22, issue.5, p.18251834, 1989.
DOI : 10.1109/TAC.1981.1102604

A. Glumineau and C. H. Moog, Nonlinear Morgan's problem: case of (p+1) inputs and p outputs, IEEE Transactions on Automatic Control, vol.37, issue.7, p.10671072, 1992.
DOI : 10.1109/9.148375

C. W. Groetsch, Inverse problems, 1999.

. Gu, K. Gu, M. A. Zohdy, and N. K. Loh, Necessary and sucient conditions of quadratic stability of uncertain linear systems, Proc. IEEE Conf. Decision and Control incl. Symp. Adaptative Processes, p.464468, 1989.

. Had03, W. M. Haddad, T. Hayakawa, and V. Chellaboina, Robust adaptative control for nonlinear uncertain systems, Automatica, vol.39, p.551556, 2003.

E. R. Hansen, Generalized interval arithmetic In Interval mathematics : Lecture Notes in Computer Science, 1975.

E. Hansen, AN OVERVIEW OF GLOBAL OPTIMIZATION USING INTERVAL ANALYSIS, 1992.
DOI : 10.1016/B978-0-12-505630-4.50021-3

T. L. Heath, The Works of Archimedes, 1953.

H. De-figueiredo, L. Stol, and J. , Ane arithmetic : concepts and applications, Numerical Algorithms, vol.37, p.147158, 2004.

E. Hensen and G. W. Walster, AN OVERVIEW OF GLOBAL OPTIMIZATION USING INTERVAL ANALYSIS, 2004.
DOI : 10.1016/B978-0-12-505630-4.50021-3

A. N. Herrera and J. Lafay, New results about Morgan's problem, IEEE Transactions on Automatic Control, vol.38, issue.12, p.18341838, 1993.
DOI : 10.1109/9.250561

R. M. Hirschorn, Invertibility of multivariable nonlinear control systems, IEEE Transactions on Automatic Control, vol.24, issue.6, p.855865, 1979.
DOI : 10.1109/TAC.1979.1102181

A. Hocine, Robustesse paramétrique sur les systèmes mécatroniques, dimensionnement de l'actionneur par le calcul des intervalles et bond graph, 2002.

. Committies, http ://tc.ifac-control.org, scope, vol.2, issue.4, 2010.

R. Isermann, Mechatronics Systems Fundamentals, 2005.

R. Ise08-]-isermann, Mechatronic systems -innovative products with embedded control, Control Engineering Practice, vol.16, issue.1, p.1429, 2008.

K. Itô, Essentials of stochastic Processes, 2006.

J. Jacques, Contributions à l'analyse de sensibilité et à l'analyse discriminante génétalisée, Thèse de doctorat, 2005.

A. Jar08a-]-jardin, M. Feki, W. Marquis-favre, D. Thomasset, and E. Bideaux, Use of structural analysis in a bond graph-based methodology for sizing mechatronic systems, Proceedings of the 7th edition of France-Japan, 5th Europe-Asia Congress on Mechatronics, 2008.

A. Jardin, W. Marquis-favre, and D. Thomasset, Représentation bond graph de problèmes d'optimisation dynamique : extension aux systèmes à stockages d'énergie nonlinéaires, Conférence Internationale Francophone d'Automatique, 2008.

A. Jardin, W. Marquis-favre, D. Thomasset, F. Guillemard, and F. Lorenz, Study of a sizing methodology and a modelica code generator for the bond graph tool ms1, Proceedings of the 6th International Modelica Conference, p.125134, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00374640

A. Jardin, Contribution à une méthodologie de dimensionnement des systèmes mécatroniques : analyse structurelle et couplage à l'optimisation dynamique, Thèse de doctorat, Institut National des Sciences Appliquées de, 2010.

L. Jaulin, M. Kieer, O. Didrit, and E. Walter, Applied interval analysis, 2001.
DOI : 10.1007/978-1-4471-0249-6
URL : https://hal.archives-ouvertes.fr/hal-00845131

S. Junco, A bond graph approach to control systems synthesis, Proceedings of the International Conference on Bond Graph Model ling and simulation, 2001.

C. S. Kam, les bond graphs pour la modélisation des systèmes linéaires, Thèse de doctorat, 2001.

C. S. Kam and G. Dauphin-tanguy, Bond graph models of structured parameter uncertainties, J. Franklin Inst, vol.342, issue.4, p.379399, 2005.

D. C. Karnopp and R. C. Rosenberg, Analysis and simulation of multiport systems : The bond graph approach to physical system dynamics. The M.I, 1968.

D. C. Karnopp and R. C. Rosenberg, Systems Dynamics : A Unied Dynamics, 1975.
DOI : 10.1002/9781118152812

D. C. Karnopp, Power and energy in linearized physical systems, Journal of the Franklin Institute, vol.303, issue.1, p.8598, 1977.
DOI : 10.1016/0016-0032(77)90078-3

D. C. Karnopp, Lagrange???s Equations for Complex Bond Graph Systems, Journal of Dynamic Systems, Measurement, and Control, vol.99, issue.4, p.300306, 1977.
DOI : 10.1115/1.3427123

D. C. Karnopp, The ebergetic structure of multibody dynamic systems, Journal of Franklin Institute, vol.306, issue.2, p.165181, 1978.

D. C. Karnopp, D. L. Margolis, and R. C. Rosenberg, System Dynamics : A Unied Approach, 1990.
DOI : 10.1002/9781118152812

D. C. Karnopp, D. L. Margolis, and R. C. Rosenberg, System dynamics modeling and simulations of mechatronic systems, 2000.

N. Karcanias, E. Sagianos, and E. Milonidis, Structural identication : The computation of the generic mcmillan degree, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC'05, p.72227227, 2005.

D. C. Karnopp, D. L. Margolis, and R. C. Rosenberg, System Dynamics : Modeling and Simulation of Mechatronic Systems, 2006.
DOI : 10.1002/9781118152812

N. Karcanias, E. Sagianos, and E. Milonidis, Structured transfer function matrices and integer matrices: the computation of the generic McMillan degree and infinite zero structure, International Journal of Control, vol.8, issue.9, p.14041420, 2007.
DOI : 10.1080/00207178208922649

H. Kazerooni, Compliance Control and Stability Analysis of Cooperating Robot manipulators, Robotica, vol.1767, issue.03, 1988.
DOI : 10.1109/56.793

A. Khuri, Applications of Dirac's delta function in statistics, International Journal of Mathematical Education in Science and Technology, vol.35, issue.2, 2009.
DOI : 10.2307/2686109

M. Kieer, Estimation ensembliste par analyse par intervalles -Application à la localisation d'un véhicule, Thèse de doctorat, 1999.

A. N. Kolmogorov, Foundations of the Theory of Probability Publié pour la première fois en, 1933.

F. Kozin, On the Probability Densities of the Output of Some Random Systems, Journal of Applied Mechanics, vol.28, issue.2, 1961.
DOI : 10.1115/1.3641646

W. Krämer, Generalized Intervals and the Dependency Problem, Proceedings in Applied Mathematics and Mechanics, p.683684, 2006.
DOI : 10.1002/pamm.200610322

P. Kubiak, Analyse symbolique des systèmes physiques modélisés par bond graph et comportement des élements multiports, Thèse de doctorat, 1996.

P. Kubiak, A. Azmani, and G. Dauphin-tanguy, Generalization of the recurrent decomposition method of a multiport element for bond graph models, 1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929), p.16401645, 1996.
DOI : 10.1109/ICSMC.1996.565341

N. Kyura and H. Oho, Mechatronics-an industrial perspective, IEEE/ASME Transactions on Mechatronics, vol.1, issue.1, p.1015, 1996.
DOI : 10.1109/3516.491405

J. Late, Aide à la conception et au dimensionnement énergétique et dynamique des systèmes mécatroniques par approche inverse : application aux chaînes de transmission automobiles, Thèse de doctorat, Institut National des Sciences Appliquées de, 2004.

M. Lebrun, Simulation et cao en automatique et mécatronique, Techniques de l'ingénieur, 2003.

E. Lee04-]-lee, C. Mavroidis, and J. P. Merlet, Five precision point synthesis of spatial rrr manipulators using interval analysis. Transactions of the ASME, Journal Mechanical Design, vol.126, p.842849, 2004.

. Lho04, M. Lhommeau, L. Hardouin, B. Cottenceau, and L. Jaulin, Interval analysis and dioid : application to robust controller design for timed event graphs, Automatica, issue.11, p.4019231930, 2004.

J. Li and J. B. Chen, The dimension-reduction strategy via mapping for probability density evolution analysis of nonlinear stochastic systems, Probabilistic Engineering Mechanics, vol.21, issue.4, p.442453, 2006.
DOI : 10.1016/j.probengmech.2006.02.004

J. Li and J. Chen, The probability density evolution method for dynamic response analysis of non-linear stochastic structures, International Journal for Numerical Methods in Engineering, vol.51, issue.6, p.882903, 2006.
DOI : 10.1002/nme.1479

J. Li and J. B. Chen, The principle of preservation of probability and the generalized density evolution equation. Structural Safety, p.6577, 2008.

J. Li and J. B. Chen, Stochastic dynamics of structures, 2009.
DOI : 10.1002/9780470824269

A. M. Lichiardopol, Approche bond graph pour la découverte technologique, Thèse de doctorat, 2007.

S. Lichiardopol and C. Sueur, Decoupling of non-linear bond-graph models, Proceedings of the IEEE International Conference on Control Applications, p.22372242, 2007.

Y. K. Lin, Probablistic theory of structural dynamics, Lin74] Lin, C.T. Structural controllability, 1967.

. Liu97 and J. Liu, Design of stable systems with uncertainties and constrained performance variation, IEEE Transactions on Automatic Control International Journal of Control, vol.19, issue.691, p.2012082332, 1974.

R. J. Lohner, Enclosing the solutions of ordinary initial and boundary value problems

. Lu, W. M. Lu, and J. C. Doyle, A state space approach to robustness analysis and synthesis for nonlinear uncertain systems, IEEE Transactions on Automatic Control, issue.12, pp.421654-1662, 1997.

L. D. Lutes and S. Sarkani, Random vibrations : analysis of structural and mechanical systems, 2004.

C. Marsh and H. Wei, Robustness bounds for systems with parametric uncertainty, Automatica, vol.32, issue.10
DOI : 10.1016/0005-1098(96)00094-5

O. Mechin, Conception des systèmes de la liaison au sol : Contribution à la dénition du cahier des charges, Thèse de doctorat, 2003.

O. Mechin, W. Marquis-favre, S. Scavarda, and P. Ferbach, Sizing of an electric power steering system on dynamic and energetic criteria, Proceedings of the International Conference on Bond Graph Modeling and Simulation, p.137147, 2003.

J. P. Merlet, Alias : an interval analysis based library for solving and analyzing system of equations, SEA, 2000.

M. Milanese, J. P. Norton, H. Piet-lahanier, and E. Walter, Bounding approaches to system identication, 1996.

F. Miled, Contribution à une méthodologie de conception des systèmes dynamiques actifs, Thèse de doctorat, 2003.

R. E. Moore, Automatic error analysis in digital computation. Rapport technique, Lockheed Missiles and Space Division, 1959.

R. E. Moore, Interval Analysis, 1966.

R. E. Moore, Methods and applications of interval analysis, Studies in applied mathematics . SIAM, 1979.
DOI : 10.1137/1.9781611970906

T. Mori, Mecha-tronics. Rapport technique, Yaskawa Internal Trademark Application, 1969.

B. G. Morton, New applications of mu to real-parameter variation problems, 1985 24th IEEE Conference on Decision and Control, p.233238, 1985.
DOI : 10.1109/CDC.1985.268816

K. Murota, Matrices and matroids for systems analysis, Algorithms and Combinatorics. Hardcover, vol.20, 2000.
DOI : 10.1007/978-3-642-03994-2

A. Neumaier, Interval methods for systems of equations, 1990.
DOI : 10.1017/CBO9780511526473

N. Jr and G. C. , What size motor for proper operation of servomechanism ? Machine Design, pp.125130-200202, 1950.

R. F. Ngw96-]-ngwompo, S. Scavarda, and D. Thomasset, Inversion of linear time-invariant SISO systems modelled by bond graph, Journal of the Franklin Institute, vol.333, issue.2, p.157174, 1996.
DOI : 10.1016/0016-0032(96)00025-7

R. F. Ngwompo, Contribution au dimensionnement des systèmes sur des critères dynamiques et énergétiques -approche par Bond Graph, Thèse de doctorat, 1997.

R. F. Ngw98-]-ngwompo, Développement d'une méthodlogie de dimensionnement des éléments d'un système : application au cas d'une suspension hydropneumatique. Rapport technique , Laboratoire d, 1998.

R. F. Ngw99-]-ngwompo and S. Scavarda, Dimensioning problems in system design using bicausal bond graphs. Simulation Practice and Theory, p.577587, 1999.

R. F. Ngwompo, S. Scavarda, and D. Thomasset, Physical model-based inversion in control systems design using bond graph representation Part 1: theory, Proceedings of ImechE Journal of Systems and Control Engineering, p.21595103, 2001.
DOI : 10.1243/0959651011540888
URL : https://hal.archives-ouvertes.fr/hal-00141157

R. F. Ngw01b-]-ngwompo, S. Scavarda, D. Thomasset, R. F. Ngwompo, E. Bideaux et al., Physical model-based inversion in control systems design using bond graph representation, part 2 : applications On the role of power lines and causal paths in bond graph-based model inversion, ICBGM'05, pp.105112-7885, 2001.

C. Niesner, Sensibilité et robustesse à l'incertitude paramétrique, une approche bond graph, Thèse de doctoratNij82] Nijmeijer, H. Inversibility of ane nonlinear control systems : a geometric approach, 2005.

L. Onsager, Reciprocal Relations in Irreversible Processes. I., Physical Review, vol.37, issue.4, p.405426, 1931.
DOI : 10.1103/PhysRev.37.405

H. Paynter, Analysis and Design of Engineering Systems. The M.I, 1961.

W. A. Porter, Decoupling of and inverses for time-varying linear systems, IEEE Transactions on Automatic Control, vol.14, issue.4, p.378380, 1969.
DOI : 10.1109/TAC.1969.1099188

V. Pot86-]-potkonjak and N. Jaksic, Contribution to a computer-aided choice of D.C. motors for manipulation robots, Robotica, vol.4, issue.01, p.3741, 1986.
DOI : 10.1016/0094-114X(79)90051-X

G. Puel, Sur une théorie des mécanismes en dynamique des structures, Thèse de doctorat, 2004.

T. Raïssi, N. Ramdani, and L. Ibos, Candau, y. Analyse de propriétés diélectriques dans un contexte à erreurs bornées, Conférence Internationale Francophone d'Automatique , CIFA'04, 2004.

A. Rahmani, C. Sueur, and G. Dauphin-tanguy, Formal determination of controllability/observability matrices for multivariable systems modelled by bond graph, Proceedings of IMACS/SICE International Symposium of Robotics, Mechatronics and Manufacturing System, p.573580, 1992.

A. Rahmani, Etude structurelle des systèmes linéaires par l'approche Bond Graph
DOI : 10.1016/s0024-3795(96)00245-5
URL : http://doi.org/10.1016/s0024-3795(96)00245-5

A. Rahmani, C. Sueur, and G. Dauphin-tanguy, On the innite structure of systems modelled by bond graph : feedback decoupling, IEEE International Conference on Systems, Man and Cybernetics, p.16171622, 1996.

A. Rahmani, C. Sueur, and G. Dauphin-tanguy, Approche des bond graphs pour I'analyse structurelle des syst??mes lin??aires, Linear Algebra and its Applications, vol.259, pp.101-131, 1997.
DOI : 10.1016/S0024-3795(96)00245-5
URL : http://doi.org/10.1016/s0024-3795(96)00245-5

. Rahmani and G. Dauphin-tanguy, Symbolic determination of state matrices from bond graph model with derivative causality, IEEE-SMC IMACS Multiconference Computation Engineering in System Applications, p.499515, 1998.

N. Ramdani, Méthodes ensemblistes pour l'estimation. Habilitation à Diriger des Recherches, 2005.

R. C. Redeld and S. Krishnan, Dynamic system synthesis with a bond graph approach : Part i -synthesis of one-port impedances, Journal of Dynamic Systems, Measurement and Control, vol.115, issue.3, p.357363, 1993.

K. J. Reinschke, Multivariable control : A Graph-theoretic approach. Lecture notes in control and information sciences, 1988.

W. Respondek, Nonlinear controllability and optimal control, chapter Right and left invertibility of nonlinear control systems, pp.133-176, 1990.

J. P. Richard, Algèbre et analyse pour l'automatique. Systèmes Automatisés : Information -Commande -Communication, 2001.

P. Y. Richard, J. Buisson, and H. Cormerais, Analysis of atness using bond graphs and bicausality, IFAC World Congress, 2002.

R. Rihm, Interval methods for initial value problems in odes, in topics in validated computations, proceeding of the IMACS-GAMM, 1994.

S. A. Robertson, Polytopes and Symmetry, 1983.

P. H. Roe and J. Thomas, A new bond graph approach to sensitivity analysis, MathMod : Conference on Mathematical Modelling, p.743746, 2000.

H. H. Rosenbrock, State-Space and Multivariable Theory, IEEE Transactions on Systems, Man, and Cybernetics, vol.2, issue.2, 1970.
DOI : 10.1109/TSMC.1972.4309115

H. H. Rosenbrock and A. J. Van-der-weiden, Inverse systems, International Journal of Control, vol.20, issue.3, p.389392, 1977.
DOI : 10.1080/00207177708922239

R. C. Rosenberg and A. N. Andry, Solvability of bond graph junction strucutres with loops, IEEE Transactions on circuits and systems, vol.26, issue.2, p.130137, 1979.

S. M. Ross, Initiation aux probabilités. Presses polytechniques et universitaires romandes, 2007.

M. K. Massey and J. L. , Stability margins of diagonally perturbed multivariable feedback systems Invertibility of linear time-invariant dynamical systems, IEEE Proc. Part D : Control Theory and Applications, p.251256141149, 1969.

. Sai02, M. A. Sainz, J. Armengol, and J. Vehí, Fault detection and isolation of the three-tank system using the modal interval analysis, Journal of Process Control, vol.12, issue.2, p.325338, 2002.

A. Saltelli, . Chan, and M. Scott, Sensitivity analysis. Probability and Statistics, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00386559

G. Saporta, Propriétés analyse des données et statistique, Editions TECHNIP, 1990.

S. Sca91-]-scavarda, M. Amara, and E. Richard, Determination of the input power in terms of output variables using bond graph, IMACS-IFAC Symposium MCTS 91 Modelling and Control of Technological Systems, p.15, 1991.

C. Sch81-]-schizas and F. J. Evans, A graph theoretic approach to multivariable control system design, Automatica, vol.17, issue.2, p.371377, 1981.
DOI : 10.1016/0005-1098(81)90054-6

. Shi76, R. W. Shields, and J. Boyd-pearson, Structural controllability of multi-input linear systems, IEEE Transactions on Automatic control, vol.21, issue.2, p.203212, 1976.

L. M. Silverman, Properties and application of inverse systems, IEEE Transactions on Automatic Control, vol.13, issue.4, p.436437, 1968.
DOI : 10.1109/TAC.1968.1098943

L. M. Silverman, Inversion of multivariable linear systems, IEEE Transactions on Automatic Control, vol.14, issue.3, p.270276, 1969.
DOI : 10.1109/TAC.1969.1099169

S. N. Singh, A modied algorithm for invertibility in nonlinear systems, IEEE Transactions on Automatic Control, vol.26, issue.2, p.595598, 1981.

C. Soize, Modélisation probabiliste, identication et propagation des incertitudes dans les modèles numériques des systèmes mécaniques complexes, 9 e Colloque National en Calcul des Strucutres, 2009.

B. Solaiman, Processus stochastiques pour l'ingénieur. Presses polytechniques et universitaires romandes, 2006.

T. Soong, Random dierential equations in science and engineering, 1973.

R. L. Stratonovich, Topics in the theory of random noise. Gordon and Breach, 1963.

N. Suda and T. Hatanaka, Structural properties of systems represented by bond graphs

C. Sue89-]-sueur and G. Dauphin-tanguy, Structural controllability/observability for linear systems represented by bond graphs, Journal of Franklin Institute, vol.326, issue.6, p.869883, 1989.

C. Sue91-]-sueur and G. Dauphin-tanguy, Bond graph approach for structural analysis of mimo linear systems, Journal of Franklin Instiute, vol.328, issue.1, p.5570, 1991.

R. Syski, Stochastic dierential equations, 1967.

S. Tan and J. Vandewalle, Inversion of singular systems, IEEE Transactions on Circuits and Systems, vol.35, issue.5, p.583587, 1988.
DOI : 10.1109/31.1788

J. Thomas and B. Ould-bouamama, Modelling and simulation in thermal and chemical engineering -A bond graph approach, 2000.

R. Tom68-]-tomovic and M. Vukobratovic, Contribution to the sensitivity of large systems, Second IFAC, System sensitivity and adaptivity, pages A.95A.105, 1968.

R. Tomovic and M. Vukobratovic, General sensitivity theory. Modern Analytic and computational methods in science and mathematics, 1972.

D. G. Ullman, The mechanicl design process, 1992.

J. W. Van-der-woude, On the structure at innity of a structured system, Linear algebra and its applications, vol.148, p.145169, 1991.

J. Van-dijk, On the role of bond graph causality in modelling mechatronic systems

J. Van-amerongen, Mechatronic design, Mechatronics, vol.13, issue.10, p.10451066, 2003.
DOI : 10.1016/S0957-4158(03)00042-4

A. I. Vardulakis, D. J. Limebeer, and N. Karcanias, Structure and smith-macmillan form of a rational matrix at innity, International Journal of Control, vol.35, issue.4, p.701725, 1982.

V. Mejia and R. , Robust Control of Systems subjected to uncertain disturbances and actutaor dynamics Computer-assisted choice of electrohydraulic servosystem for manipulation robots using complete mathematical models. Mechanism and Machine Theory, Thèse de doctorat, p.431439, 1987.

E. Walter and L. Pronzato, Identication de modèles paramétriques à partir de données expérimentales, 1994.

L. Weiss, On a question related to the control of linear systems, IEEE Transactions on Automatic Control, vol.9, issue.2, p.176177, 1964.
DOI : 10.1109/TAC.1964.1105657

A. Wierzbicki, Models and sensitivity of Control Systems, 1984.

A. S. Willsky, On the invertibility of linear systems, IEEE Transactions on Automatic Control, vol.19, issue.3, p.272274, 1974.
DOI : 10.1109/TAC.1974.1100545

M. Wlasowski and F. Lorenz, How determine the solvability of bond graph linear junction strucutres, Journal of the Franklin Institute, vol.328, pp.5-6855869, 1991.

S. T. Wu and K. Youcef-toumi, On Relative Degrees and Zero Dynamics From Physical System Modeling, Journal of Dynamic Systems, Measurement, and Control, vol.117, issue.2, p.205217, 1995.
DOI : 10.1115/1.2835181

S. Xie, L. Xie, D. Souza, and C. , Robust dissipative control for linear systems with dissipative uncertainty, International Journal of Control, vol.70, issue.2, p.169191, 1998.
DOI : 10.1080/002071798222352

T. Yamada and T. Saga, A sucient condition for structural decouplability of linear nonsquare systems, IEEE Transactions on Automatic Control, vol.30, issue.9, p.918921, 1985.

B. Ycart, Modèles probabilistes. Université René Descartes, UFR mathématiques et informatique, 2011.

R. C. Young, D. C. Youla, and P. Dorato, The algebra of multi-valued quantities On the inverse of linear dynamical systems. Rapport technique , Polytechnic Institute of Brooklyn, Mathematische Annalen, 1931.

L. A. Zadeh and C. A. Desoer, Linear systems theory : The state space approach. Series in Systems Science, 1963.

. Zha07, L. Zhang, and J. Li, Probability density evolution analysis on dynamic response and reliability estimation of wind-excited transmission towers. Wind and Structures, pp.45-60, 2007.

. Bibliographie, A. Jardin, M. Feki, W. Marquis-favre, D. Thomasset et al., Use of structural analysis in a bond graph-based methodology for sizing mechatronic systems, Proceedings of the 7th edition of France-Japan, 5th Europe-Asia Congress on Mechatronics, 2008.

E. Feki, M. , D. Loreto, M. Bideaux, E. Thomasset et al., On the role of essential orders on feedback decoupling and model inversion : bond graph approach
URL : https://hal.archives-ouvertes.fr/hal-00374603

E. Feki, M. , D. Loreto, M. Bideaux, E. Thomasset et al., Structural properties of inverse models represented by bond graph, 17th IFAC World Congress, pp.236-241, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00375777

M. Marquis-favre, W. Krähenbühl, and D. Thomasset, Bond Graph Representation of Standard Interconnection Model, Proceedings of International Conference on Bond Graph Modeling and Simulation, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00476283

E. Feki, M. Jardin, A. Marquis-favre, W. Krähenbühl, L. Bideaux et al., Determination of essential orders from a bond graph model, ASME Journal of Dynamic Systems, Measurement, and Control, p.2011
URL : https://hal.archives-ouvertes.fr/hal-00639590

E. Feki, M. Jardin, A. Marquis-favre, W. Krähenbühl, L. Thomasset et al., Structural analysis by bond graph approach : Duality between causal and bicausal procedures

B. Annexe, Synthèse de tolérance paramétrique par analyse par intervalles : Exemple Fig. B.2 Modèle bond graph bicausal du moteur à courant continu pour la synthèse paramé- trique