V. Alcaraz-gonzalez and V. Gonzalez-alvarez, Robust nonlinear observers for bioprocesses: application to wastewater treatment (pp. 119?164). Dyn. and ctrl. of chem. and bio. processes lecture notes in control and information sciences, 2007.

V. Alcaraz-gonzalez, J. Harmand, A. Rapaport, J. Steyer, V. Gonzalez-alvarez et al., Software sensors for highly uncertain WWTPs: a new approach based on interval observers, Water Research, vol.36, issue.10, pp.2515-2524, 2002.
DOI : 10.1016/S0043-1354(01)00466-3

V. Andrieu and M. Nadri, Observer design for Lipschitz systems with discrete-time measurements, 49th IEEE Conference on Decision and Control (CDC), pp.6522-6527, 2010.
DOI : 10.1109/CDC.2010.5718046

URL : https://hal.archives-ouvertes.fr/hal-00519361

V. Andrieu and L. Praly, On the Existence of a Kazantzis--Kravaris/Luenberger Observer, SIAM Journal on Control and Optimization, vol.45, issue.2, pp.432-456, 2006.
DOI : 10.1137/040617066

URL : https://hal.archives-ouvertes.fr/hal-00529943

V. Andrieu, L. Praly, and A. Astolfi, Homogeneous Approximation, Recursive Observer Design, and Output Feedback, SIAM Journal on Control and Optimization, vol.47, issue.4, pp.1814-1850, 2008.
DOI : 10.1137/060675861

URL : https://hal.archives-ouvertes.fr/hal-00362707

V. Andrieu, L. Praly, and A. Astolfi, High gain observers with updated gain and homogeneous correction terms, Automatica, vol.45, issue.2, pp.422-428, 2009.
DOI : 10.1016/j.automatica.2008.07.015

URL : https://hal.archives-ouvertes.fr/hal-00362752

D. Angeli, E. D. Sontag, and Y. Wang, A characterization of integral input-to-state stability, IEEE Transactions on Automatic Control, vol.45, issue.6, pp.1082-1097, 2000.
DOI : 10.1109/9.863594

M. Arcak, M. Larsen, and P. Kokotovi´ckokotovi´c, Circle and Popov criteria as tools for nonlinear feedback design, Automatica, vol.39, issue.4, pp.643-650, 2003.
DOI : 10.1016/S0005-1098(02)00276-5

J. Back and A. Astolfi, Design of Positive Linear Observers for Positive Linear Systems via Coordinate Transformations and Positive Realizations, SIAM Journal on Control and Optimization, vol.47, issue.1, pp.345-373, 2008.
DOI : 10.1137/060663891

G. Bastin and D. Dochain, On-line Estimation and Adaptative Control of Bioreactors, 1990.

L. Benvenuti and L. Farina, A Tutorial on the Positive Realization Problem, IEEE Transactions on Automatic Control, vol.49, issue.5
DOI : 10.1109/TAC.2004.826715

O. Bernard and J. L. Gouzé, Closed loop observers bundle for uncertain biotechnological models, Journal of Process Control, vol.14, issue.7, pp.765-774, 2004.
DOI : 10.1016/j.jprocont.2003.12.006

URL : https://hal.archives-ouvertes.fr/inria-00071676

G. Besançon, An Overview on Observer Tools for Nonlinear Systems, Lecture Notes in Control and Information Sciences, vol.363, pp.1-33, 2007.
DOI : 10.1007/978-3-540-73503-8_1

S. Bonnabel, A. Astolfi, and R. Sepulchre, Contraction and observer design on cones, IEEE Conference on Decision and Control and European Control Conference, pp.7147-7151, 2011.
DOI : 10.1109/CDC.2011.6161268

S. Bonnabel, P. Martin, and P. Rouchon, Symmetry-Preserving Observers, IEEE Transactions on Automatic Control, vol.53, issue.11, pp.2514-2526, 2008.
DOI : 10.1109/TAC.2008.2006929

URL : https://hal.archives-ouvertes.fr/hal-00449206

M. Boutayeb and M. Darouach, A reduced-order observer for non-linear discrete-time systems, Systems & Control Letters, vol.39, issue.2, pp.141-151, 2000.
DOI : 10.1016/S0167-6911(99)00102-4

P. J. Bushell, Hilbert's metric and positive contraction mappings in a Banach space. Archive for Rational Mechanics and Analysis, 1973.

C. I. Byrnes and A. Isidori, New results and examples in nonlinear feedback stabilization, Systems & Control Letters, vol.12, issue.5, pp.437-442, 1989.
DOI : 10.1016/0167-6911(89)90080-7

A. Chaillet and F. L. Chernousko, ContributionsàContributionsà l'analyse de la stabilité et de la robustesse des systèmes non-linéaires interconnectés et applications. HabilitationàHabilitationà diriger les recherches State Estimation for Dynamic Systems, 1994.

L. Chisci, A. Garulli, and G. Zappa, Recursive state bounding by parallelotopes, Automatica, vol.32, issue.7, pp.1049-1055, 1996.
DOI : 10.1016/0005-1098(96)00048-9

C. Combastel and S. A. Raka, A Stable Interval Observer for LTI Systems with No Multiple Poles, 18th IFAC World Congress, 2011.
DOI : 10.3182/20110828-6-IT-1002.01824

J. M. Coron and L. Praly, Adding an integrator for the stabilization problem, Systems & Control Letters, vol.17, issue.2, p.104, 1991.
DOI : 10.1016/0167-6911(91)90034-C

D. M. Dawson, J. J. Carroll, and M. Schneider, Integrator backstepping control of a brush DC motor turning a robotic load, IEEE Transactions on Control Systems Technology, vol.2, issue.3, pp.233-244, 1994.
DOI : 10.1109/87.317980

F. Deza, E. Busvelle, D. Gauthier, and . Rakotopara, High gain estimation for nonlinear systems, Systems & Control Letters, vol.18, issue.4, pp.295-299, 1992.
DOI : 10.1016/0167-6911(92)90059-2

O. Diekman and J. A. Heesterbeek, Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation, 1999.

T. N. Dinh, V. Andrieu, M. Nadri, and U. Serres, Un observateur continu-discret pour les systèmes avec des non-linéarités de lipschitz et des mesures discrètes, Conférence Internationale francophone d'automatique, 2012.

T. N. Dinh, V. Andrieu, M. Nadri, and U. Serres, Continuous-Discrete Time Observer Design for Lipschitz Systems With Sampled Measurements, IEEE Transactions on Automatic Control, vol.60, issue.3, 2014.
DOI : 10.1109/TAC.2014.2329211

URL : https://hal.archives-ouvertes.fr/hal-00944153

T. N. Dinh, S. Bonnabel, and R. Sepulchre, Positive observer design based on the hilbert metric, 52nd IEEE Decision and Control Conference (CDC), pp.6574-6579, 2013.

T. N. Dinh, F. Mazenc, and S. Niculescu, Interval observer composed of observers for nonlinear systems, 2014 European Control Conference (ECC), pp.660-665, 2014.
DOI : 10.1109/ECC.2014.6862153

URL : https://hal.archives-ouvertes.fr/hal-01088231

D. Efimov, L. Fridman, T. Raissi, A. Zolghadri, and R. Seydou, Interval estimation for LPV systems applying high order sliding mode techniques, Automatica, vol.48, issue.9, pp.2365-2371, 2012.
DOI : 10.1016/j.automatica.2012.06.073

URL : https://hal.archives-ouvertes.fr/hal-00701643

D. Efimov, W. Perruquetti, T. Raissi, and A. Zolghadri, Interval Observers for Time-Varying Discrete-Time Systems, IEEE Transactions on Automatic Control, vol.58, issue.12, pp.3218-3224, 2013.
DOI : 10.1109/TAC.2013.2263936

URL : https://hal.archives-ouvertes.fr/hal-00820937

D. Efimov, W. Perruquetti, T. Raissi, and A. Zolghadri, On interval observer design for time-invariant discrete-time systems, European Control Conference, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00801806

D. Efimov, W. Perruquetti, and J. P. Richard, Interval estimation for uncertain systems with time-varying delays, International Journal of Control, vol.23, issue.6, pp.1777-1787, 2013.
DOI : 10.1109/TAC.2011.2142590

URL : https://hal.archives-ouvertes.fr/hal-00813314

D. Efimov, W. Perruquetti, and J. P. Richard, On reduced-order interval observers for time-delay systems, European Control Conference, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00801809

D. Efimov, T. Raissi, S. Chebotarev, and A. Zolghadri, Interval state observer for nonlinear time varying systems, Automatica, vol.49, issue.1, pp.200-205, 2013.
DOI : 10.1016/j.automatica.2012.07.004

URL : https://hal.archives-ouvertes.fr/hal-00719911

D. Efimov, T. Raissi, and A. Zolghadri, Control of Nonlinear and LPV Systems: Interval Observer-Based Framework, IEEE Transactions on Automatic Control, vol.58, issue.3, pp.773-778, 2013.
DOI : 10.1109/TAC.2013.2241476

URL : https://hal.archives-ouvertes.fr/hal-00664106

D. Efimov, T. Raissi, and A. Zolghadri, Stabilization of nonlinear uncertain systems based on interval observers, IEEE Conference on Decision and Control and European Control Conference, pp.8157-8162, 2013.
DOI : 10.1109/CDC.2011.6160573

URL : https://hal.archives-ouvertes.fr/hal-00609344

L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications, 2000.
DOI : 10.1002/9781118033029

M. Fliess and I. A. Kupka, A Finiteness Criterion for Nonlinear Input???Output Differential Systems, SIAM Journal on Control and Optimization, vol.21, issue.5, pp.721-728, 1983.
DOI : 10.1137/0321044

Z. Gajíc and M. Lelíc, Modern Control System Engineering, 1996.

J. P. Gauthier, H. Hammouri, and S. Othman, A simple observer for nonlinear systems applications to bioreactors, IEEE Transactions on Automatic Control, vol.37, issue.6, pp.875-880, 1992.
DOI : 10.1109/9.256352

A. Gelb, J. F. Kasper, R. Nash, C. Price, and A. A. Sutherland, Applied Optimal Estimation, 1992.

G. Goffaux, A. Vande-wouwer, and O. Bernard, Improving continuous???discrete interval observers with application to microalgae-based bioprocesses, Journal of Process Control, vol.19, issue.7, pp.1182-1190, 2009.
DOI : 10.1016/j.jprocont.2009.03.009

J. L. Gouzé, A. Rapaport, and M. Z. Hadj-sadok, Interval observers for uncertain biological systems, Haddad, V. Chellaboina, and Q. Hui. Nonnegative and Compartmental Dynamical Systems, pp.45-56, 2000.
DOI : 10.1016/S0304-3800(00)00279-9

H. Hammouri, M. Nadri, and R. Mota, Constant gain observer for continuous-discrete time uniformly observable systems, Proceedings of the 45th IEEE Conference on Decision and Control, pp.5406-5411, 2006.
DOI : 10.1109/CDC.2006.377828

H. Hard¨?nhard¨?n and J. Van-schuppen, Observers for linear positive systems, Linear Algebra and its Applications, vol.425, issue.2-3, pp.571-607, 2007.
DOI : 10.1016/j.laa.2007.03.007

R. A. Hibbs, L. G. James, and R. P. Cavalieri, A Furrow Irrigation Automation System Utilizing Adaptive Control, Transactions of the ASAE, vol.35, issue.3, pp.1063-1067, 1992.
DOI : 10.13031/2013.28701

M. W. Hirsch, Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets, SIAM Journal on Mathematical Analysis, vol.13, issue.2, pp.167-179, 1982.
DOI : 10.1137/0513013

M. W. Hirsch, The dynamical systems approach to differential equations, Bulletin of the American Mathematical Society, vol.11, issue.1, pp.1-64, 1984.
DOI : 10.1090/S0273-0979-1984-15236-4

M. W. Hirsch, The dynamical systems approach to differential equations, Bulletin of the American Mathematical Society, vol.11, issue.1, pp.423-439, 1985.
DOI : 10.1090/S0273-0979-1984-15236-4

J. A. Jacquez and C. P. Simson, Qualitative Theory of Compartmental Systems, SIAM Review, vol.35, issue.1, pp.43-79, 1993.
DOI : 10.1137/1035003

A. H. Jazwinski, Stochastic processes and filtering theory, Mathematics in Science and Engineering, 1970.

Z. Jiang and I. Kanellakopoulos, Global output-feedback tracking for a benchmark nonlinear system, IEEE Transactions on Automatic Control, vol.45, issue.5, pp.1023-1027, 2000.
DOI : 10.1109/9.855577

Z. Jiang and H. Nijmeijer, Observer-Controller Design for Global Tracking of Nonholonomic Systems. New Directions in nonlinear observer design, pp.205-228, 1999.

?. I. Jury and S. M. Ahn, Remarks on the root-clustering of a polynomial in a certain region in the complex plane, Quarterly of Applied Mathematics, vol.32, issue.2, pp.203-205, 1974.
DOI : 10.1090/qam/432611

R. E. Kalman and R. S. Bucy, New Results in Linear Filtering and Prediction Theory, Journal of Basic Engineering, vol.83, issue.1, pp.95-108, 1961.
DOI : 10.1115/1.3658902

E. Kamke, Zur Theorie der Systeme gew??hnlicher Differentialgleichungen. II., Acta Mathematica, vol.58, issue.0, pp.57-85, 1932.
DOI : 10.1007/BF02547774

I. Karafyllis and Z. P. Jiang, Stability and Stabilization of Nonlinear Systems, Communications and Control Engineering Series, 2011.
DOI : 10.1007/978-0-85729-513-2

I. Karafyllis and C. Kravaris, On the Observer Problem for Discrete-Time Control Systems, IEEE Transactions on Automatic Control, vol.52, issue.1, pp.12-25, 2007.
DOI : 10.1109/TAC.2006.887901

N. Kazantzis and C. Kravaris, Nonlinear observer design using Lyapunov???s auxiliary theorem, Systems & Control Letters, vol.34, issue.5, pp.241-247, 1998.
DOI : 10.1016/S0167-6911(98)00017-6

H. K. Khalil, Nonlinear Systems, 2002.

M. Kieffer and E. Walter, GUARANTEED NONLINEAR STATE ESTIMATION FOR CONTINUOUS-TIME DYNAMICAL MODELS FROM DISCRETE-TIME MEASUREMENTS, Preprints of the 5th IFAC Symposium on Robust Control Design, 2006.
DOI : 10.3182/20060705-3-FR-2907.00117

A. A. Kolesnikov, Analytical construction of nonlinear algebraic regulators with given invariant manifolds, Izv. Buisshix Uchevnix Savedenii, Electromexanica, issue.3, pp.100-109, 1987.

I. Konstantopoulos and P. Antsaklis, New bounds for robust stability of continuous and discrete-time systems under parametric uncertainty, Kybernetika, issue.6, pp.31623-636, 1995.

A. J. Krener and A. Isidori, Linearization by output injection and nonlinear observers, Systems & Control Letters, vol.3, issue.1, pp.47-52, 1983.
DOI : 10.1016/0167-6911(83)90037-3

A. J. Krener and W. Respondek, Nonlinear Observers with Linearizable Error Dynamics, SIAM Journal on Control and Optimization, vol.23, issue.2, pp.197-216, 1985.
DOI : 10.1137/0323016

A. J. Krener and M. Xiao, Nonlinear Observer Design in the Siegel Domain, SIAM Journal on Control and Optimization, vol.41, issue.3, pp.932-953, 2002.
DOI : 10.1137/S0363012900375330

M. Krstic, I. Kanellakopoulos, and P. V. Kokotovic, Nonlinear and Adaptive Control Design, 1995.

M. J. Kurtz and M. A. Henson, State and disturbance estimation for nonlinear systems affine in the unmeasured variables, Computers & Chemical Engineering, vol.22, issue.10, pp.1441-1459, 1998.
DOI : 10.1016/S0098-1354(98)80032-X

W. W. Leontief, Dynamic Analysis, in Studies in the structure of the American economy, 1953.

W. Lohmiller, J. J. Slotine, A. Loría, E. Panteley, and A. Zavala-río, On contraction analysis for nonlinear systems Adaptive observers with persistency of excitation for synchronization of Chaotic Systems, Automatica IEEE Transactions on Circuits and Systems I, vol.34, issue.612, pp.683-696, 1998.

D. G. Luenberger, Observing the State of a Linear System, IEEE Transactions on Military Electronics, vol.8, issue.2, pp.74-80, 1964.
DOI : 10.1109/TME.1964.4323124

D. G. Luenberger, An introduction to observers, IEEE Transactions on Automatic Control, vol.16, issue.6, pp.596-602, 1971.
DOI : 10.1109/TAC.1971.1099826

D. G. Luenberger, Introduction to Dynamic Systems : Theory, Models and Applications, 1979.

L. Mailleret, Stabilisation Globale de Systèmes Dynamiques Positifs Mal Connus. Applications en Biologie, Thèse de doctorat de l, 2004.

M. Malisoff and F. Mazenc, Constructions of Strict Lyapunov Functions, 2009.
DOI : 10.1007/978-1-84882-535-2

URL : https://hal.archives-ouvertes.fr/hal-00858552

F. Mazenc, Analyse de stabilité et commande de systèmes non linéaires. Habilitation ` a diriger les recherches en sciences, 2007.

F. Mazenc and O. Bernard, Asymptotically Stable Interval Observers for Planar Systems With Complex Poles, IEEE Transactions on Automatic Control, vol.55, issue.2, pp.523-527, 2010.
DOI : 10.1109/TAC.2009.2037472

URL : https://hal.archives-ouvertes.fr/hal-00547800

F. Mazenc and O. Bernard, Interval observers for linear time-invariant systems with disturbances, Automatica, vol.47, issue.1, pp.140-147, 2011.
DOI : 10.1016/j.automatica.2010.10.019

URL : https://hal.archives-ouvertes.fr/hal-00555464

F. Mazenc and O. Bernard, Construction of ISS interval observers for triangular systems, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.6780-6785, 2012.
DOI : 10.1109/CDC.2012.6426911

URL : https://hal.archives-ouvertes.fr/hal-00759566

F. Mazenc and O. Bernard, ISS interval observers for nonlinear systems transformed into triangular systems, International Journal of Robust and Nonlinear Control, vol.75, issue.1, pp.1241-1261, 2014.
DOI : 10.1002/rnc.2937

URL : https://hal.archives-ouvertes.fr/hal-01088143

F. Mazenc and T. N. Dinh, Construction of interval observers for continuous-time systems with discrete measurements, Automatica, vol.50, issue.10
DOI : 10.1016/j.automatica.2014.08.008

F. Mazenc and T. N. Dinh, Continuous-discrete interval observers for systems with discrete measurements, 52nd IEEE Conference on Decision and Control, pp.787-792, 2013.
DOI : 10.1109/CDC.2013.6759978

URL : https://hal.archives-ouvertes.fr/hal-00906824

F. Mazenc, T. N. Dinh, and S. Niculescu, Interval observers for discrete?time systems, International Journal of Robust and Nonlinear Control
URL : https://hal.archives-ouvertes.fr/hal-00761600

F. Mazenc, T. N. Dinh, and S. Niculescu, Interval observers for discrete-time systems, 51st IEEE Decision and Control Conference (CDC), pp.6755-6760, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00761600

F. Mazenc, T. N. Dinh, and S. Niculescu, Robust interval observers and stabilization design for discrete-time systems with input and output, Automatica, vol.49, issue.11, pp.3490-3497, 2013.
DOI : 10.1016/j.automatica.2013.09.016

URL : https://hal.archives-ouvertes.fr/hal-00874971

F. Mazenc, T. N. Dinh, and S. Niculescu, Robust interval observers for discrete?time systems of luenberger type, the American Control Conference, pp.2484-2489
URL : https://hal.archives-ouvertes.fr/hal-00906825

F. Mazenc, M. Kieffer, and E. Walter, Interval observers for continuous-time linear systems with discrete-time outputs, 2012 American Control Conference (ACC), pp.1889-1894, 2012.
DOI : 10.1109/ACC.2012.6314646

F. Mazenc, S. Niculescu, and O. Bernard, Exponentially Stable Interval Observers for Linear Systems with Delay, SIAM Journal on Control and Optimization, vol.50, issue.1, pp.286-305, 2012.
DOI : 10.1137/100812124

URL : https://hal.archives-ouvertes.fr/hal-00761603

F. Mazenc and D. Normand-cyrot, Stabilization of linear input delayed dynamics under sampling, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.7523-7528, 2012.
DOI : 10.1109/CDC.2012.6427086

URL : https://hal.archives-ouvertes.fr/hal-00760089

F. Mazenc and D. Normand-cyrot, Reduction Model Approach for Linear Systems With Sampled Delayed Inputs, IEEE Transactions on Automatic Control, vol.58, issue.5, pp.1263-1268, 2013.
DOI : 10.1109/TAC.2013.2254193

URL : https://hal.archives-ouvertes.fr/hal-00761296

G. M. Milanese and . Belforte, Estimation theory and uncertainty intervals evaluation in presence of unknown but bounded errors: Linear families of models and estimators, IEEE Transactions on Automatic Control, vol.27, issue.2
DOI : 10.1109/TAC.1982.1102926

M. Moisan, Synthèse d'Observateurs par Intervalles pour des Systèmes Biologiques Mal Connus, Thèse de doctorat de l, 2007.

M. Moisan and O. Bernard, Robust interval observers for global Lipschitz uncertain chaotic systems, Systems & Control Letters, vol.59, issue.11, pp.687-694, 2010.
DOI : 10.1016/j.sysconle.2010.08.005

M. Moisan, O. Bernard, and J. Gouzé, Near optimal interval observers bundle for uncertain bioreactors, Automatica, vol.45, issue.1, pp.291-295, 2009.
DOI : 10.1016/j.automatica.2008.07.006

URL : https://hal.archives-ouvertes.fr/hal-01109396

J. D. Murray, M. Nadri, H. Hammouri, and C. Astorga, Mathematical Biology Observer design for continuous discrete-time state affine systems up to output injection, European Journal of Control, vol.10, issue.3, pp.252-262, 1989.

K. Ogata, Discrete-Time Control Systems, 1987.

Y. Ohta, H. Maeda, and S. Kodama, Reachability, Observability, and Realizability of Continuous-Time Positive Systems, SIAM Journal on Control and Optimization, vol.22, issue.2, pp.171-180, 1984.
DOI : 10.1137/0322013

L. Perko, Differential Equations and Dynamical systems, Text in Applied Mathematics, 1991.

N. Petit and P. Rouchon, Dynamique et contrôle des systèmes, 2007.

A. Polyakova, D. Efimov, W. Perruquetti, and J. P. Richard, Output stabilization of time-varying input delay systems using interval observation technique, Automatica, vol.49, issue.11, pp.493402-3410, 2013.
DOI : 10.1016/j.automatica.2013.08.012

L. Praly and I. Kanellakopoulos, Output feedback asymptotic stabilization for triangular systems linear in the unmeasured state components, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187), pp.2466-2471, 2000.
DOI : 10.1109/CDC.2000.914172

C. Prieur, Asymptotic Controllability and Robust Asymptotic Stabilizability, SIAM Journal on Control and Optimization, vol.43, issue.5, pp.1888-1912, 2005.
DOI : 10.1137/S0363012901385514

C. Prieur and A. Astolfi, Robust stabilization of chained systems via hybrid control, IEEE Transactions on Automatic Control, vol.48, issue.10, pp.1768-1772, 2003.
DOI : 10.1109/TAC.2003.817909

T. Raissi, D. Efimov, and A. Zolghadri, Interval State Estimation for a Class of Nonlinear Systems, IEEE Transactions on Automatic Control, vol.57, issue.1, pp.260-265, 2012.
DOI : 10.1109/TAC.2011.2164820

URL : https://hal.archives-ouvertes.fr/hal-00609510

T. Raissi, N. Ramdani, and Y. Candau, Bounded error moving horizon state estimator for non-linear continuous-time systems: application to a bioprocess system, Journal of Process Control, vol.15, issue.5, pp.537-545, 2005.
DOI : 10.1016/j.jprocont.2004.10.002

URL : https://hal.archives-ouvertes.fr/hal-00321364

T. Raissi, G. Videau, and A. Zolghadri, Interval observer design for consistency checks of nonlinear continuous-time systems, Automatica, vol.46, issue.3, pp.518-527, 2010.
DOI : 10.1016/j.automatica.2009.12.005

L. F. Richardson, Arms and Insecurity, 1960.

S. Sastry, Nonlinear systems, analysis, stability and control, 1999.

C. Scherer and S. Weiland, Course on linear matrix inequalities in control, 2004.

F. C. Schweppe, Recursive state estimation: Unknown but bounded errors and system inputs, IEEE Transactions on Automatic Control, vol.13, issue.1, pp.22-28, 1968.
DOI : 10.1109/TAC.1968.1098790

R. Siski, Introduction to congestion theory in telephone systems, 1960.

H. L. Smith, Monotone Dynamical Systems-An introduction to the theory of competitive and cooperative systems, American mathematical society, vol.41, 1995.
DOI : 10.1090/surv/041

H. Smith and P. Waltman, Theory of the chemostat : dynamics of microbial competition, 1995.
DOI : 10.1017/CBO9780511530043

E. Sontag and Y. Wang, On characterizations of the input-to-state stability property, Systems & Control Letters, vol.24, issue.5, pp.351-359, 1995.
DOI : 10.1016/0167-6911(94)00050-6

E. D. Sontag, Smooth stabilization implies coprime factorization, IEEE Transactions on Automatic Control, vol.34, issue.4, pp.435-443, 1989.
DOI : 10.1109/9.28018

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.54.1219

E. D. Sontag, Comments on integral variants of ISS, Systems & Control Letters, vol.34, issue.1-2, pp.93-100, 1998.
DOI : 10.1016/S0167-6911(98)00003-6

J. F. Sturm, Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, pp.11-12625, 1999.

H. J. Sussmann, E. D. Sontag, and Y. Yang, A general result on the stabilization of linear systems using bounded controls, IEEE Transactions on Automatic Control, vol.39, issue.12, pp.2411-2425, 1994.
DOI : 10.1109/9.362853

A. Takayama, Mathematical Ecomics, 1985.

J. Tsinias, Sufficient lyapunov-like conditions for stabilization, MCSS), pp.343-357, 1989.
DOI : 10.1007/BF02551276

J. M. Van-den-hof, Positive Linear Observers for Linear Compartmental Systems, SIAM Journal on Control and Optimization, vol.36, issue.2, pp.590-608, 1998.
DOI : 10.1137/S036301299630611X

M. Xiao, N. Kazantzis, C. Kravaris, and A. J. Krener, Nonlinear discrete-time observer design with linearizable error dynamics, IEEE Transactions on Automatic Control, vol.48, issue.4, pp.622-626, 2003.
DOI : 10.1109/TAC.2003.809793

A. Zemouche, M. Boutayeb, and G. I. Bara, Observers for a class of Lipschitz systems with extension to performance analysis, Systems & Control Letters, vol.57, issue.1, pp.18-27, 2008.
DOI : 10.1016/j.sysconle.2007.06.012

URL : https://hal.archives-ouvertes.fr/hal-00344476