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. ,
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
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
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
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
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
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
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
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
On-line Estimation and Adaptative Control of Bioreactors, 1990. ,
A Tutorial on the Positive Realization Problem, IEEE Transactions on Automatic Control, vol.49, issue.5 ,
DOI : 10.1109/TAC.2004.826715
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
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
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
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
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
Hilbert's metric and positive contraction mappings in a Banach space. Archive for Rational Mechanics and Analysis, 1973. ,
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
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. ,
Recursive state bounding by parallelotopes, Automatica, vol.32, issue.7, pp.1049-1055, 1996. ,
DOI : 10.1016/0005-1098(96)00048-9
A Stable Interval Observer for LTI Systems with No Multiple Poles, 18th IFAC World Congress, 2011. ,
DOI : 10.3182/20110828-6-IT-1002.01824
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
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
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
Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation, 1999. ,
Un observateur continu-discret pour les systèmes avec des non-linéarités de lipschitz et des mesures discrètes, Conférence Internationale francophone d'automatique, 2012. ,
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
Positive observer design based on the hilbert metric, 52nd IEEE Decision and Control Conference (CDC), pp.6574-6579, 2013. ,
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
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
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
On interval observer design for time-invariant discrete-time systems, European Control Conference, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00801806
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
On reduced-order interval observers for time-delay systems, European Control Conference, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00801809
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
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
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
Positive Linear Systems: Theory and Applications, 2000. ,
DOI : 10.1002/9781118033029
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
Modern Control System Engineering, 1996. ,
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
Applied Optimal Estimation, 1992. ,
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
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
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
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
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
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
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
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
Qualitative Theory of Compartmental Systems, SIAM Review, vol.35, issue.1, pp.43-79, 1993. ,
DOI : 10.1137/1035003
Stochastic processes and filtering theory, Mathematics in Science and Engineering, 1970. ,
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
Observer-Controller Design for Global Tracking of Nonholonomic Systems. New Directions in nonlinear observer design, pp.205-228, 1999. ,
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
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
Zur Theorie der Systeme gew??hnlicher Differentialgleichungen. II., Acta Mathematica, vol.58, issue.0, pp.57-85, 1932. ,
DOI : 10.1007/BF02547774
Stability and Stabilization of Nonlinear Systems, Communications and Control Engineering Series, 2011. ,
DOI : 10.1007/978-0-85729-513-2
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
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
Nonlinear Systems, 2002. ,
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
Analytical construction of nonlinear algebraic regulators with given invariant manifolds, Izv. Buisshix Uchevnix Savedenii, Electromexanica, issue.3, pp.100-109, 1987. ,
New bounds for robust stability of continuous and discrete-time systems under parametric uncertainty, Kybernetika, issue.6, pp.31623-636, 1995. ,
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
Nonlinear Observers with Linearizable Error Dynamics, SIAM Journal on Control and Optimization, vol.23, issue.2, pp.197-216, 1985. ,
DOI : 10.1137/0323016
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
Nonlinear and Adaptive Control Design, 1995. ,
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
Dynamic Analysis, in Studies in the structure of the American economy, 1953. ,
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. ,
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
An introduction to observers, IEEE Transactions on Automatic Control, vol.16, issue.6, pp.596-602, 1971. ,
DOI : 10.1109/TAC.1971.1099826
Introduction to Dynamic Systems : Theory, Models and Applications, 1979. ,
Stabilisation Globale de Systèmes Dynamiques Positifs Mal Connus. Applications en Biologie, Thèse de doctorat de l, 2004. ,
Constructions of Strict Lyapunov Functions, 2009. ,
DOI : 10.1007/978-1-84882-535-2
URL : https://hal.archives-ouvertes.fr/hal-00858552
Analyse de stabilité et commande de systèmes non linéaires. Habilitation ` a diriger les recherches en sciences, 2007. ,
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
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
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
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
Construction of interval observers for continuous-time systems with discrete measurements, Automatica, vol.50, issue.10 ,
DOI : 10.1016/j.automatica.2014.08.008
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
Interval observers for discrete?time systems, International Journal of Robust and Nonlinear Control ,
URL : https://hal.archives-ouvertes.fr/hal-00761600
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
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
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
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
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
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
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
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
Synthèse d'Observateurs par Intervalles pour des Systèmes Biologiques Mal Connus, Thèse de doctorat de l, 2007. ,
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
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
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. ,
Discrete-Time Control Systems, 1987. ,
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
Differential Equations and Dynamical systems, Text in Applied Mathematics, 1991. ,
Dynamique et contrôle des systèmes, 2007. ,
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
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
Asymptotic Controllability and Robust Asymptotic Stabilizability, SIAM Journal on Control and Optimization, vol.43, issue.5, pp.1888-1912, 2005. ,
DOI : 10.1137/S0363012901385514
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
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
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
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
Arms and Insecurity, 1960. ,
Nonlinear systems, analysis, stability and control, 1999. ,
Course on linear matrix inequalities in control, 2004. ,
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
Introduction to congestion theory in telephone systems, 1960. ,
Monotone Dynamical Systems-An introduction to the theory of competitive and cooperative systems, American mathematical society, vol.41, 1995. ,
DOI : 10.1090/surv/041
Theory of the chemostat : dynamics of microbial competition, 1995. ,
DOI : 10.1017/CBO9780511530043
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
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
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
Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optimization Methods and Software, pp.11-12625, 1999. ,
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
Mathematical Ecomics, 1985. ,
Sufficient lyapunov-like conditions for stabilization, MCSS), pp.343-357, 1989. ,
DOI : 10.1007/BF02551276
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
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
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