Edit Profile (opens in new tab) Fliess, Michel Compute Distance To: Compute Author ID: fliess.michel Published as: Fliess, Michel; Fliess, M. External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 155 Publications since 1969, including 1 Book 4 Contributions as Editor · 2 Further Contributions Reviewing Activity: 5 Reviews Biographic References: 1 Publication Co-Authors: 47 Co-Authors with 77 Joint Publications 1,015 Co-Co-Authors all top 5 Co-Authors 82 single-authored 17 Rouchon, Pierre 14 Lévine, Jean 13 Martin, Philippe 11 Join, Cédric 10 Sira-Ramírez, Hebertt J. 8 Mounier, Hugues 5 Marquez, Richard 4 Delaleau, Emmanuel 4 Lamnabhi-Lagarrigue, Françoise 4 Mboup, Mamadou 3 Messager, François 3 Normand-Cyrot, Dorothée 3 Rudolph, Joachim 2 Abouaïssa, Hassane 2 Bourdache-Siguerdidjane, Houria 2 Bourlès, Henri 2 Hotzel, Richard 2 Isidori, Alberto 2 Ollivier, François 2 Reutenauer, Christophe 1 Abu el Ata-Doss, S. 1 Ackermann, Juergen E. 1 Anderson, Brian David Outram 1 Åström, Karl Johan 1 Balchen, Jens Glad 1 Bara, Ouassim 1 Barmish, B. Ross 1 Barrucand, Pierre-A. 1 Belkoura, Lotfi 1 Bensoussan, Alain 1 Berstel, Jean 1 Blondel, Vincent D. 1 Borillo, Mario 1 Byrnes, Christopher Ian 1 Caines, Peter Edwin 1 Choffrut, Christian 1 Claude, Daniel 1 Coïc, A. 1 Cori, Robert 1 Davis, Mark Herbert Ainsworth 1 Davison, Edward Joseph 1 Day, Judy D. 1 de Luca, Aldo 1 Descusse, Jacques 1 Dion, Jean-Michel 1 Djouadi, Seddik M. 1 Dugard, Luc 1 Eden, Moshé 1 Efimov, Denis V. 1 El Asmi, Sadok 1 El Jai, Abdelhaq 1 Flato, Moshé 1 Foata, Dominique C. 1 Gadoffre, G. 1 Galperin, Charles 1 Gevers, Michel R. 1 Glad, S. Torkel 1 Goodwin, Graham Clifford 1 Gross, Maurice 1 Halle, Morris 1 Hansel, Georges 1 Harris, Zellig 1 Hasler, Martin J. 1 Hazewinkel, Michiel 1 He, Shi 1 Jacob, Gérard 1 Kerber, Adalbert 1 Kimura, Hidenori 1 Kučera, Vladimir V. 1 Kupka, Ivan A. K. 1 Lallement, Gerard J. 1 Lamnabhi, Moustanir 1 Lascoux, Alain 1 Laub, Alan J. 1 Leborgne, Daniel 1 Lichnerowicz, Andre 1 Lindquist, Anders Gunnar 1 Ljung, Lennart 1 Lothaire, M. 1 Lyndon, Roger C. 1 Machi, Antonio 1 Marquez-Contreras, R. 1 McFarlane, A. J. G. 1 Perrin, Dominique 1 Perruquetti, Wilfrid 1 Petit, Nicolas 1 Picci, Giorgio 1 Poznyak, Aleksandr Semënovich 1 Procesi, Claudio 1 Puel, Jean-Pierre 1 Restivo, Antonio 1 Richard, Jean-Pierre 1 Rosenstiehl, Pierre 1 Rota, Gian-Carlo 1 Simon, Imre 1 Skelton, Robert E. 1 Sussmann, Hector J. 1 Tsypkin, Yakov Zalmanovich 1 Varaiya, Pravin Pratap 1 Vidyasagar, Mathukumalli ...and 4 more Co-Authors all top 5 Serials 13 Comptes Rendus de l’Académie des Sciences. Série I 12 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 11 International Journal of Control 8 IEEE Transactions on Automatic Control 8 Systems & Control Letters 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin de la Société Mathématique de France 3 Information and Control 3 Kybernetika 2 Automatica 2 Forum Mathematicum 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Linear Algebra and its Applications 2 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b 1 Discrete Mathematics 1 Letters in Mathematical Physics 1 Stochastics 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 IEEE Transactions on Circuits and Systems 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Mathematical Systems Theory 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Traitement du Signal 1 IMA Journal of Mathematical Control and Information 1 Numerical Algorithms 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Applicable Algebra in Engineering, Communication and Computing 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Mathematical Sciences (New York) 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 International Journal of Applied Mathematics and Computer Science 1 Revue Française d’Informatique et de Recherche Opérationnelle 1 Lecture Notes in Control and Information Sciences 1 Mathematics and its Applications (Dordrecht) 1 SMF Journée Annuelle 1 Journal of Theoretical Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 128 Systems theory; control (93-XX) 28 Associative rings and algebras (16-XX) 17 Computer science (68-XX) 11 Field theory and polynomials (12-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 9 Manifolds and cell complexes (57-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Nonassociative rings and algebras (17-XX) 7 Approximations and expansions (41-XX) 6 General and overarching topics; collections (00-XX) 6 Commutative algebra (13-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 1,763 times in 1,010 Documents Cited by ▼ Year ▼ Flatness and defect of non-linear systems: Introductory theory and examples. Zbl 0838.93022Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 269 1995 Fonctionnelles causales non linéaires et indéterminées non commutatives. Zbl 0476.93021Fliess, Michel 96 1981 A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. Zbl 0964.93028Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 90 1999 Matrices de Hankel. Zbl 0315.94051Fliess, Michel 81 1974 An algebraic framework for linear identification. Zbl 1063.93014Fliess, Michel; Sira-Ramírez, Hebertt 53 2003 Generalized controller canonical forms for linear and nonlinear dynamics. Zbl 0724.93010Fliess, Michel 51 1990 An algebraic approach to nonlinear functional expansions. Zbl 0529.34002Fliess, Michel; Lamnabhi, Moustanir; Lamnabhi-Lagarrigue, Francoise 49 1983 Some basic structural properties of generalized linear systems. Zbl 0727.93024Fliess, Michel 48 1990 Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives. Zbl 0513.93014Fliess, Michel 41 1983 Sur divers produits de séries formelles. Zbl 0313.13021Fliess, Michel 38 1974 Numerical differentiation with annihilators in noisy environment. Zbl 1162.65009Mboup, Mamadou; Join, Cédric; Fliess, Michel 35 2009 Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013Fliess, M.; Mounier, H. 34 1998 Automatique et corps différentiels. (Robotics and differential fields). Zbl 0701.93048Fliess, Michel 34 1989 Sur les systèmes non linéaires différentiellement plats. (On differentially flat nonlinear systems). Zbl 0776.93038Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 32 1992 Reversible linear and nonlinear discrete-time dynamics. Zbl 0764.93058Fliess, Michel 29 1992 Model-free control. Zbl 1311.93031Fliess, Michel; Join, Cédric 29 2013 A finiteness criterion for nonlinear input-output differential systems. Zbl 0529.93031Fliess, Michel; Kupka, Ivan 28 1983 An algebraic approach to linear and nonlinear control. 2nd printing with correct. Zbl 0838.93021Fliess, M.; Glad, S. T. 27 1994 Parameters estimation of systems with delayed and structured entries. Zbl 1162.93328Belkoura, Lotfi; Richard, Jean-Pierre; Fliess, Michel 25 2009 Continuous-time linear predictive control and flatness: A module-theoretic setting with examples. Zbl 1006.93508Fliess, Michel; Marquez, Richard 24 2000 Generalized proportional-integral controllers. (Correcteurs proportionnels-intégraux généralisés.) Zbl 1037.93040Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel; Sira-Ramírez, Hebertt 23 2002 Noise: a nonstandard analysis. (Analyse non standard du bruit.) Zbl 1093.94009Fliess, Michel 23 2006 A remark on Willems’ trajectory characterization of linear controllability. Zbl 0765.93003Fliess, Michel 20 1992 Discrete- time systems and difference algebra. (Automatique en temps discret et algèbre aux différences.) Zbl 0706.93039Fliess, Michel 20 1990 Survey on the state of systems and control. Zbl 1177.93001Blondel, Vincent; Gevers, Michel; Lindquist, Anders 19 1995 A note on the invertibility of nonlinear input-output differential systems. Zbl 0634.93035Fliess, Michel 18 1986 Optimal feedback control of nonlinear systems. Zbl 0622.49003Bourdache-Siguerdidjane, Houria; Fliess, Michel 17 1987 An extension of predictive control, PID regulators and Smith predictors to some linear delay systems. Zbl 1021.93015Fliess, Michel; Marquez, Richard; Mounier, Hugues 16 2002 Finite poles and zeros of linear systems: An intrinsic approach. Zbl 1034.93009Bourlès, Henri; Fliess, Michel 16 1997 Tracking control of a vibrating string with an interior mass viewed as delay system. Zbl 0906.73046Mounier, H.; Rudolph, J.; Fliess, M.; Rouchon, P. 16 1998 Reconstructeurs d’état. (State reconstructors). Zbl 1035.93019Fliess, Michel; Sira-Ramírez, Hebertt 16 2004 On linear systems with a fractional derivation: Introductory theory and examples. Zbl 1017.93508Hotzel, Richard; Fliess, Michel 16 1998 Dynamic feedback linearization and Lie-Bäcklund transformations. (Linéarisation par bouclage dynamique et transformations de Lie- Bäcklund.) Zbl 0796.93042Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 15 1993 Immersion, directe et par bouclage, d’un système non linéaire dans un linéaire. Zbl 0529.93030Claude, Daniel; Fliess, Michel; Isidori, Alberto 14 1983 Realizations of nonlinear systems and abstract transitive Lie algebras. Zbl 0427.93011Fliess, Michel 14 1980 Robust residual generation for linear fault diagnosis: an algebraic setting with examples. Zbl 1073.93527Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 13 2004 Regulation of non-minimum phase outputs: A flatness based approach. Zbl 0967.93021Fliess, M.; Sira-Ramírez, H.; Marquez, R. 13 1998 Linear systems over Mikusiński operators and control of a flexible beam. (Systèmes linéares sur les opérateurs de Mikusiński et commande d’une poutre flexible.) Zbl 0898.93018Fliess, Michel; Mounier, Hugues; Rouchon, Pierre; Rudolph, Joachim 12 1997 An algebraic interpretation of the Laplace transform and of transfer matrices. (Une interprétation algébrique de la transformation de Laplace et des matrices de transfert.) Zbl 0802.93010Fliess, Michel 12 1994 Séries reconnaissables, rationnelles et algébriques. Zbl 0219.16003Fliess, M. 12 1970 Series rationnelles positives et processus stochastiques. Zbl 0337.60057Fliess, Michel 9 1975 Sur la realisation des systèmes dynamiques bilineaires. Zbl 0273.93005Fliess, Michel 9 1973 A Lie-theorie approach to nonlinear discrete-time controllability via Ritt’s formal differential groups. Zbl 0498.93010Fliess, Michel; Normand-Cyrot, Dorothee 8 1981 Algebraic change-point detection. Zbl 1184.93030Fliess, Michel; Join, Cédric; Mboup, Mamadou 8 2010 Closed-loop fault-tolerant control for uncertain nonlinear systems. Zbl 1100.93041Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 8 2005 Generalized state variable representation for a simplified crane description. Zbl 0782.93049Fliess, Michel; Lévine, Jean; Rouchon, Pierre 7 1993 Un codage non commutatif pour certains systèmes echantillonnes non linéaires. Zbl 0389.93009Fliess, Michel 7 1978 Deux applications de la représentation matricielle d’une série rationnelle non commutative. (Two applications of matrix representations of a rational non -commutative series). Zbl 0222.16001Fliess, Michel 7 1971 A remark on nonlinear accessibility conditions and infinite prolongations. Zbl 1054.93501Fliess, Michel; Lévine, Jean; Martin, Philippe; Ollivier, François; Rouchon, Pierre 7 1997 Discussing some examples of linear system interconnections. Zbl 0877.93064Fliess, Michel; Bourlès, Henri 6 1996 Un outil algébrique: Les séries formelles non commutatives. Zbl 0363.93008Fliess, Michel 6 1976 Algèbres de Lie nilpotentes, formule de Baker-Campbell-Hausdorff et intégrales iterées de K.T. Chen. Zbl 0495.60064Fliess, Michel; Normand-Cyrot, Dorothee 6 1982 Controllability revisited. Zbl 0777.93005Fliess, M. 6 1991 Structure algorithm, filtrations and decoupling. (Algorithme de structure, filtrations et découplage.) Zbl 0791.68113Delaleau, Emmanuel; Fliess, Michel 6 1992 Differential compression of noisy transient signals. (Compression différentielle de transitoires bruités.) Zbl 1060.94504Fliess, Michel; Join, Cédric; Mboup, Mamadou; Sira-Ramírez, Hebertt 6 2004 Sur la définition des séries formelles algébriques. Zbl 0219.16004Fliess, M. 6 1971 Quelques remarques élementaires sur le calcul des lois de bouclage en commande optimale non linéaire. Zbl 0557.93035Fliess, Michel; Bourdache-Siguerdidjane, Houria 6 1984 Questioning the classic state-space description via circuit examples. Zbl 0726.93039Fliess, Michel; Hasler, Martin 6 1990 State feedbacks without asymptotic observers and generalized PID regulators. Zbl 1239.93044Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel 6 2001 A new approach to the structure at infinity of nonlinear systems. Zbl 0608.93038Fliess, Michel 6 1986 Index of an implicit time-varying linear differential equation: A noncommutative linear algebraic approach. Zbl 0774.34002Fliess, Michel; Lévine, Jean; Rouchon, Pierre 5 1993 Some structural properties of linear systems with constant delays. (Quelques propriétés structurelles des systèmes linéaires à retards constants.) Zbl 0805.93001Fliess, Michel; Mounier, Hugues 5 1994 Transductions de séries formelles. Zbl 0301.16003Fliess, Michel 5 1974 Generalized linear systems with lumped or distributed parameters and differential vector spaces. Zbl 0684.93001Fliess, Michel 5 1989 A remark on nonlinear observability. Zbl 0479.93016Fliess, Michel 5 1982 The unobservability ideal for nonlinear systems. Zbl 0487.93011Fliess, Michel 5 1981 Développements fonctionnels en indeterminees non commutatives des solutions d’équations différentielles non linéaires forcees. Zbl 0402.93027Fliess, Michel 5 1978 Tracking control and \(\pi\)-freeness of infinite dimensional linear systems. Zbl 0918.93010Fliess, Michel; Mounier, Hugues 5 1999 Sliding mode control of DC-to-DC power converters using integral reconstructors. Zbl 1011.93528Sira-Ramirez, H.; Marquez-Contreras, R.; Fliess, M. 5 2002 A note on Volterra series expansions for nonlinear differential systems. Zbl 0429.93028Fliess, Michel 5 1980 Sur le plongement de l’algèbre des séries rationnelles non commutatives dans un corps gauche. Zbl 0211.36002Fliess, M. 5 1970 On the inversion of nonlinear multivariable systems. Zbl 0538.93028Fliess, Michel 5 1984 On ramp metering: towards a better understanding of ALINEA via model-free control. Zbl 1366.93418Abouaïssa, Hassane; Fliess, Michel; Join, Cédric 5 2017 A fundamental result on the invertibility of discrete time dynamics. Zbl 0789.93095Fliess, Michel 4 1991 Controlling nonlinear systems by flatness. Zbl 0868.93028Fliess, M.; Levine, J.; Martin, P.; Ollivier, F.; Rouchon, P. 4 1997 On linear systems with a derivation of non-integer order. (Sur les systèmes linéaires à dérivation non entière.) Zbl 0870.93024Fliess, Michel; Hotzel, Richard 4 1997 Two applications of the local geometry of diffieties. (Deux applications de la géométrie locale des diffiétés.) Zbl 0895.58003Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 4 1997 Generating series for discrete-time nonlinear systems. Zbl 0441.93016Fliess, Michel 4 1980 Transductions algèbriques. Zbl 0219.68038Fliess, M. 4 1970 Toward a model-free feedback control synthesis for treating acute inflammation. Zbl 1397.92311Bara, Ouassim; Fliess, Michel; Join, Cédric; Day, Judy; Djouadi, Seddik M. 4 2018 Séries de Volterra et formalisme hamiltonien (Volterra series and Hamiltonian formalism). Zbl 0583.93022Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 4 1984 Some remarks on nonlinear invertibility and dynamic state-feedback. Zbl 0601.93028Fliess, Michel 4 1986 Sur les systèmes dynamique bilinéaires qui sont linéaires. Zbl 0281.93004Fliess, Michel 4 1974 Variations on the notion of controllability. (Variations sur la notion de contrôlabilité.) Zbl 0992.93002Fliess, Michel 4 2000 An algebraic state estimation approach for the recovery of chaotically encrypted messages. Zbl 1098.94005Sira-Ramírez, Hebertt; Fliess, Michel 4 2006 New Trends in nonlinear control theory. Proceedings of an international conference on nonlinear systems, Nantes, France, June 13-17, 1988. Zbl 0672.00015 3 1989 Inversion formulas. (Formules d’inversion.) Zbl 0802.93027El Asmi, S.; Fliess, M. 3 1991 Series de Volterra et séries formelles non commutatives. Zbl 0309.93028Fliess, Michel 3 1975 A Lie-Bäcklund approach to dynamic feedback equivalence and flatness. Zbl 0858.93034Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 3 1996 Stabilité d’un type élémentaire d’équations différentielles stochastiques à bruits vectoriels. Zbl 0454.93053Fliess, Michel 3 1981 Finite-dimensional observation-spaces for non-linear systems. Zbl 0495.93031Fliess, Michel 3 1982 A simple definition of hidden modes, poles and zeros. Zbl 0746.93037Fliess, Michel 3 1991 Propriétés booléennes des langages stochastiques. Zbl 0262.94037Fliess, Michel 3 1974 On a new differential geometric setting in nonlinear control. Zbl 0885.93014Fliess, M.; Lévine, J.; Martin, P.; Rouchon, P. 3 1997 Vers une stabilisation non linéaire discontinue. (On a discontinuous nonlinear stabilization problem.). Zbl 0716.93046Fliess, Michel; Messager, François 3 1990 On sliding mode control strategies. (Sur la commande en régime glissant.) Zbl 0734.93047Fliess, Michel; Messager, François 3 1991 Généralisation non linéaire de la forme canonique de commande et linéarisation par bouclage. (Nonlinear generalization of the controller canonical form and feedback linearization). Zbl 0664.93038Fliess, Michel 3 1989 Quelques définitions de la théorie des systèmes à la lumière des corps différentiels. (On some definitions of systems theory revisited in the light of differential fields). Zbl 0615.93006Fliess, Michel 3 1987 Défaut d’un système non linéaire et commande haute fréquence. (Defect of a nonlinear system and high frequency control). Zbl 0777.93044Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 2 1993 Linear sliding modes and variable structure systems: a module-theoretic approach. (Régimes glissants, structures variables linéaires et modules.) Zbl 0787.93018Fliess, Michel; Sira-Ramirez, Hebertt 2 1993 Comments on: “Differentiator application in altitude control for an indoor blimp robot”. Zbl 1443.93089Mboup, M.; Join, C.; Fliess, M.; Wang, Y.; Zheng, G.; Efimov, D.; Perruquetti, W. 1 2020 Toward a model-free feedback control synthesis for treating acute inflammation. Zbl 1397.92311Bara, Ouassim; Fliess, Michel; Join, Cédric; Day, Judy; Djouadi, Seddik M. 4 2018 On ramp metering: towards a better understanding of ALINEA via model-free control. Zbl 1366.93418Abouaïssa, Hassane; Fliess, Michel; Join, Cédric 5 2017 Model-free control. Zbl 1311.93031Fliess, Michel; Join, Cédric 29 2013 Algebraic change-point detection. Zbl 1184.93030Fliess, Michel; Join, Cédric; Mboup, Mamadou 8 2010 Numerical differentiation with annihilators in noisy environment. Zbl 1162.65009Mboup, Mamadou; Join, Cédric; Fliess, Michel 35 2009 Parameters estimation of systems with delayed and structured entries. Zbl 1162.93328Belkoura, Lotfi; Richard, Jean-Pierre; Fliess, Michel 25 2009 Noise: a nonstandard analysis. (Analyse non standard du bruit.) Zbl 1093.94009Fliess, Michel 23 2006 An algebraic state estimation approach for the recovery of chaotically encrypted messages. Zbl 1098.94005Sira-Ramírez, Hebertt; Fliess, Michel 4 2006 Closed-loop fault-tolerant control for uncertain nonlinear systems. Zbl 1100.93041Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 8 2005 Reconstructeurs d’état. (State reconstructors). Zbl 1035.93019Fliess, Michel; Sira-Ramírez, Hebertt 16 2004 Robust residual generation for linear fault diagnosis: an algebraic setting with examples. Zbl 1073.93527Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 13 2004 Differential compression of noisy transient signals. (Compression différentielle de transitoires bruités.) Zbl 1060.94504Fliess, Michel; Join, Cédric; Mboup, Mamadou; Sira-Ramírez, Hebertt 6 2004 An algebraic framework for linear identification. Zbl 1063.93014Fliess, Michel; Sira-Ramírez, Hebertt 53 2003 Generalized proportional-integral controllers. (Correcteurs proportionnels-intégraux généralisés.) Zbl 1037.93040Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel; Sira-Ramírez, Hebertt 23 2002 An extension of predictive control, PID regulators and Smith predictors to some linear delay systems. Zbl 1021.93015Fliess, Michel; Marquez, Richard; Mounier, Hugues 16 2002 Sliding mode control of DC-to-DC power converters using integral reconstructors. Zbl 1011.93528Sira-Ramirez, H.; Marquez-Contreras, R.; Fliess, M. 5 2002 On the structure of linear recurrent error-control codes. Zbl 1070.94026Fliess, Michel 2 2002 A trajectory interpretation of torsion-free controllability. Zbl 1008.93020Fliess, Michel; Mounier, Hugues 1 2002 State feedbacks without asymptotic observers and generalized PID regulators. Zbl 1239.93044Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel 6 2001 On a class of linear delay systems often arising in practice. Zbl 1265.93061Fliess, Michel; Mounier, Hugues 2 2001 Continuous-time linear predictive control and flatness: A module-theoretic setting with examples. Zbl 1006.93508Fliess, Michel; Marquez, Richard 24 2000 Variations on the notion of controllability. (Variations sur la notion de contrôlabilité.) Zbl 0992.93002Fliess, Michel 4 2000 A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. Zbl 0964.93028Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 90 1999 Tracking control and \(\pi\)-freeness of infinite dimensional linear systems. Zbl 0918.93010Fliess, Michel; Mounier, Hugues 5 1999 Linear time delay systems (LTDS ’98). Proceedings of the IFAC Workshop held in Grenoble, France, July 6–7, 1998. Zbl 0930.93002 1 1999 Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013Fliess, M.; Mounier, H. 34 1998 Tracking control of a vibrating string with an interior mass viewed as delay system. Zbl 0906.73046Mounier, H.; Rudolph, J.; Fliess, M.; Rouchon, P. 16 1998 On linear systems with a fractional derivation: Introductory theory and examples. Zbl 1017.93508Hotzel, Richard; Fliess, Michel 16 1998 Regulation of non-minimum phase outputs: A flatness based approach. Zbl 0967.93021Fliess, M.; Sira-Ramírez, H.; Marquez, R. 13 1998 Controlling the equation of telegraphy and active restoration of some signals. (Commande de l’équation des télégraphistes et restauration active d’un signal.) Zbl 1001.93032Fliess, Michel; Martin, Philippe; Petit, Nicolas; Rouchon, Pierre 2 1998 Finite poles and zeros of linear systems: An intrinsic approach. Zbl 1034.93009Bourlès, Henri; Fliess, Michel 16 1997 Linear systems over Mikusiński operators and control of a flexible beam. (Systèmes linéares sur les opérateurs de Mikusiński et commande d’une poutre flexible.) Zbl 0898.93018Fliess, Michel; Mounier, Hugues; Rouchon, Pierre; Rudolph, Joachim 12 1997 A remark on nonlinear accessibility conditions and infinite prolongations. Zbl 1054.93501Fliess, Michel; Lévine, Jean; Martin, Philippe; Ollivier, François; Rouchon, Pierre 7 1997 Controlling nonlinear systems by flatness. Zbl 0868.93028Fliess, M.; Levine, J.; Martin, P.; Ollivier, F.; Rouchon, P. 4 1997 On linear systems with a derivation of non-integer order. (Sur les systèmes linéaires à dérivation non entière.) Zbl 0870.93024Fliess, Michel; Hotzel, Richard 4 1997 Two applications of the local geometry of diffieties. (Deux applications de la géométrie locale des diffiétés.) Zbl 0895.58003Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 4 1997 On a new differential geometric setting in nonlinear control. Zbl 0885.93014Fliess, M.; Lévine, J.; Martin, P.; Rouchon, P. 3 1997 Hardy fields and local asymptotic observers for differentially flat systems. (Corps de Hardy et observateurs asymptotiques locaux pour systèmes différentiellement plats.) Zbl 0874.93021Fliess, Michel; Rudolph, Joachim 2 1997 Discussing some examples of linear system interconnections. Zbl 0877.93064Fliess, Michel; Bourlès, Henri 6 1996 A Lie-Bäcklund approach to dynamic feedback equivalence and flatness. Zbl 0858.93034Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 3 1996 Flatness and defect of non-linear systems: Introductory theory and examples. Zbl 0838.93022Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 269 1995 Survey on the state of systems and control. Zbl 1177.93001Blondel, Vincent; Gevers, Michel; Lindquist, Anders 19 1995 Differential flatness and defect: An overview. Zbl 1010.93504Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 2 1995 An algebraic approach to linear and nonlinear control. 2nd printing with correct. Zbl 0838.93021Fliess, M.; Glad, S. T. 27 1994 An algebraic interpretation of the Laplace transform and of transfer matrices. (Une interprétation algébrique de la transformation de Laplace et des matrices de transfert.) Zbl 0802.93010Fliess, Michel 12 1994 Some structural properties of linear systems with constant delays. (Quelques propriétés structurelles des systèmes linéaires à retards constants.) Zbl 0805.93001Fliess, Michel; Mounier, Hugues 5 1994 Dynamic feedback linearization and Lie-Bäcklund transformations. (Linéarisation par bouclage dynamique et transformations de Lie- Bäcklund.) Zbl 0796.93042Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 15 1993 Generalized state variable representation for a simplified crane description. Zbl 0782.93049Fliess, Michel; Lévine, Jean; Rouchon, Pierre 7 1993 Index of an implicit time-varying linear differential equation: A noncommutative linear algebraic approach. Zbl 0774.34002Fliess, Michel; Lévine, Jean; Rouchon, Pierre 5 1993 Défaut d’un système non linéaire et commande haute fréquence. (Defect of a nonlinear system and high frequency control). Zbl 0777.93044Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 2 1993 Linear sliding modes and variable structure systems: a module-theoretic approach. (Régimes glissants, structures variables linéaires et modules.) Zbl 0787.93018Fliess, Michel; Sira-Ramirez, Hebertt 2 1993 Invertibility of causal discrete time dynamical systems. Zbl 0780.58040Fliess, Michel 1 1993 Some remarks on the Brunovsky canonical form. Zbl 0806.93007Fliess, Michel 1 1993 Sur les systèmes non linéaires différentiellement plats. (On differentially flat nonlinear systems). Zbl 0776.93038Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 32 1992 Reversible linear and nonlinear discrete-time dynamics. Zbl 0764.93058Fliess, Michel 29 1992 A remark on Willems’ trajectory characterization of linear controllability. Zbl 0765.93003Fliess, Michel 20 1992 Structure algorithm, filtrations and decoupling. (Algorithme de structure, filtrations et découplage.) Zbl 0791.68113Delaleau, Emmanuel; Fliess, Michel 6 1992 Non-linear predictive control by inversion: Discontinuities for critical behaviour. Zbl 0761.93034Abu el Ata-Doss, S.; Coïc, A.; Fliess, M. 2 1992 Controllability revisited. Zbl 0777.93005Fliess, M. 6 1991 A fundamental result on the invertibility of discrete time dynamics. Zbl 0789.93095Fliess, Michel 4 1991 Inversion formulas. (Formules d’inversion.) Zbl 0802.93027El Asmi, S.; Fliess, M. 3 1991 A simple definition of hidden modes, poles and zeros. Zbl 0746.93037Fliess, Michel 3 1991 On sliding mode control strategies. (Sur la commande en régime glissant.) Zbl 0734.93047Fliess, Michel; Messager, François 3 1991 Methods of nonlinear discontinuous stabilization. Zbl 0738.93031Fliess, Michel; Messager, François 2 1991 Generalized controller canonical forms for linear and nonlinear dynamics. Zbl 0724.93010Fliess, Michel 51 1990 Some basic structural properties of generalized linear systems. Zbl 0727.93024Fliess, Michel 48 1990 Discrete- time systems and difference algebra. (Automatique en temps discret et algèbre aux différences.) Zbl 0706.93039Fliess, Michel 20 1990 Questioning the classic state-space description via circuit examples. Zbl 0726.93039Fliess, Michel; Hasler, Martin 6 1990 Vers une stabilisation non linéaire discontinue. (On a discontinuous nonlinear stabilization problem.). Zbl 0716.93046Fliess, Michel; Messager, François 3 1990 Words. Miscellany offered to M.-P. Schützenberger. (Mots. Mélanges offerts à M.-P. Schützenberger.) Zbl 0862.05001 2 1990 Automatique et corps différentiels. (Robotics and differential fields). Zbl 0701.93048Fliess, Michel 34 1989 Generalized linear systems with lumped or distributed parameters and differential vector spaces. Zbl 0684.93001Fliess, Michel 5 1989 New Trends in nonlinear control theory. Proceedings of an international conference on nonlinear systems, Nantes, France, June 13-17, 1988. Zbl 0672.00015 3 1989 Généralisation non linéaire de la forme canonique de commande et linéarisation par bouclage. (Nonlinear generalization of the controller canonical form and feedback linearization). Zbl 0664.93038Fliess, Michel 3 1989 Commandabilité, matrices de transfert et modes cachés. (Controllability, transfer matrices and hidden modes). Zbl 0685.93009Fliess, Michel 2 1989 Some remarks on nonlinear input-output systems with delays. Zbl 0674.93001Fliess, Michel 1 1989 Nonlinear control theory and differential algebra. Zbl 0652.93025Fliess, Michel 2 1988 Optimal feedback control of nonlinear systems. Zbl 0622.49003Bourdache-Siguerdidjane, Houria; Fliess, Michel 17 1987 Quelques définitions de la théorie des systèmes à la lumière des corps différentiels. (On some definitions of systems theory revisited in the light of differential fields). Zbl 0615.93006Fliess, Michel 3 1987 A differential algebraic approach to mechanics with perfect nonholonomic constraints. Zbl 0629.12021Fliess, Michel 2 1987 A note on the invertibility of nonlinear input-output differential systems. Zbl 0634.93035Fliess, Michel 18 1986 A new approach to the structure at infinity of nonlinear systems. Zbl 0608.93038Fliess, Michel 6 1986 Some remarks on nonlinear invertibility and dynamic state-feedback. Zbl 0601.93028Fliess, Michel 4 1986 Algebraic and geometric methods in nonlinear control theory. (Proceedings of the Conference held in Paris, France, June 1985). Zbl 0596.00024 2 1986 Volterra series and optimal control. Zbl 0611.49015Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 2 1986 Vers une notion de dérivation fonctionnelle causale. (Towards a notion of causal functional derivatives). Zbl 0602.93032Fliess, Michel 1 1986 Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras. Zbl 0562.93040Fliess, Michel 2 1985 Functional expansions in nonlinear system theory. Zbl 0599.93022Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 2 1985 Quelques remarques élementaires sur le calcul des lois de bouclage en commande optimale non linéaire. Zbl 0557.93035Fliess, Michel; Bourdache-Siguerdidjane, Houria 6 1984 On the inversion of nonlinear multivariable systems. Zbl 0538.93028Fliess, Michel 5 1984 Séries de Volterra et formalisme hamiltonien (Volterra series and Hamiltonian formalism). Zbl 0583.93022Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 4 1984 La commande optimale en boucle fermée comme problème de Cauchy. Zbl 0565.49021Fliess, Michel 2 1984 An algebraic approach to nonlinear functional expansions. Zbl 0529.34002Fliess, Michel; Lamnabhi, Moustanir; Lamnabhi-Lagarrigue, Francoise 49 1983 Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives. Zbl 0513.93014Fliess, Michel 41 1983 A finiteness criterion for nonlinear input-output differential systems. Zbl 0529.93031Fliess, Michel; Kupka, Ivan 28 1983 Immersion, directe et par bouclage, d’un système non linéaire dans un linéaire. Zbl 0529.93030Claude, Daniel; Fliess, Michel; Isidori, Alberto 14 1983 Algèbres de Lie nilpotentes, formule de Baker-Campbell-Hausdorff et intégrales iterées de K.T. Chen. Zbl 0495.60064Fliess, Michel; Normand-Cyrot, Dorothee 6 1982 A remark on nonlinear observability. Zbl 0479.93016Fliess, Michel 5 1982 Finite-dimensional observation-spaces for non-linear systems. Zbl 0495.93031Fliess, Michel 3 1982 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,323 Authors 50 Fliess, Michel 42 Sira-Ramírez, Hebertt J. 20 Gray, W. Steven 19 Chetverikov, Vladimir N. 17 Kotta, Ulle 15 Boutat, Driss 14 Lévine, Jean 14 Rouchon, Pierre 13 Join, Cédric 12 Barbot, Jean-Pierre 12 Martin, Philippe 12 Perruquetti, Wilfrid 12 Reutenauer, Christophe 11 Liu, Dayan 11 Mounier, Hugues 11 Zheng, Gang 10 Normand-Cyrot, Dorothée 10 Sontag, Eduardo D. 10 Tie, Lin 9 Alpay, Daniel Aron 9 Duffaut Espinosa, Luis A. 9 Gauthier, Jean-Paul A. 9 Ignatovich, Svetlana Yu. 9 Monaco, Salvatore 9 Respondek, Witold 9 Rudolph, Joachim 8 Bourlès, Henri 8 Ebrahimi-Fard, Kurusch 8 Mboup, Mamadou 8 Paykan, Kamal 8 Sklyar, Grigory Mikhailovitch 7 Duchamp, Gerard Henry Edmond 7 Hagenmeyer, Veit 7 Lamnabhi-Lagarrigue, Françoise 7 Lomadze, Vakhtang 7 Meurer, Thomas 7 Millerioux, Gilles 7 Moog, Claude H. 7 Nijmeijer, Henk 7 Quadrat, Alban 7 Richard, Jean-Pierre 6 Bartosiewicz, Zbigniew 6 Belkoura, Lotfi 6 Delaleau, Emmanuel 6 Floquet, Thierry 6 Hoang Ngoc Minh, Vincel 6 Jiang, Zhong-Ping 6 Luviano-Juárez, Alberto 6 Marinescu, Bogdan 6 Martinez-Guerra, Rafael 6 Oberst, Ulrich 6 Suarez-Castañon, Miguel Santiago 6 Zeitz, Michael J. 5 Aschemann, Harald 5 Balle, Borja 5 Beltran-Carbajal, Francisco 5 Colombo, Fabrizio 5 Crouch, Peter E. 5 Djennoune, Said 5 Isidori, Alberto 5 Kugi, Andreas 5 Pereira da Silva, Paulo Sérgio 5 Rauh, Andreas 5 Sabadini, Irene 5 Schöberl, Markus 5 Ushirobira, Rosane 5 Verdière, Nathalie 4 Bettayeb, Maamar 4 Helton, John William 4 Hespel, Christiane 4 Levant, Arie 4 Liu, Haoran 4 Melchior, Pierre 4 Nicolau, Florentina 4 Oustaloup, Alain 4 Riachy, Samer 4 Rigatos, Gerasimos G. 4 Robertz, Daniel 4 Rouff, Marc 4 Sakarovitch, Jacques 4 Silva-Navarro, Gerardo 4 Teo, Kok Lay 4 Tõnso, Maris 4 Victor, Stéphane 4 Vinnikov, Victor L. 4 Walter, Eric 4 Wang, Yuan 4 Wei, Yanqiao 4 Woittennek, Frank 4 Wyrwas, Małgorzata 4 Xia, Xiaohua 4 Zheng, Yufan 3 Abouaïssa, Hassane 3 Agrachev, Andreĭ Aleksandrovich 3 Agrawal, Sunil Kumar 3 Aguilar-Orduna, Mario Andres 3 Ailon, Amit 3 Arogeti, Shai 3 Back, Juhoon 3 Bejarano, Francisco Javier ...and 1,223 more Authors all top 5 Cited in 185 Serials 113 International Journal of Control 112 Automatica 102 Systems & Control Letters 24 Theoretical Computer Science 21 Journal of the Franklin Institute 20 MCSS. Mathematics of Control, Signals, and Systems 19 European Journal of Control 18 Kybernetika 17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 16 International Journal of Robust and Nonlinear Control 15 International Journal of Systems Science 15 Linear Algebra and its Applications 15 Asian Journal of Control 13 Mathematical Systems Theory 13 Differential Equations 12 Mathematical Problems in Engineering 12 International Journal of Applied Mathematics and Computer Science 11 Journal of Symbolic Computation 11 Nonlinear Dynamics 10 Multibody System Dynamics 9 Journal of Algebra 9 Mathematics and Computers in Simulation 9 SIAM Journal on Control and Optimization 8 Discrete Mathematics 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Computational and Applied Mathematics 7 Journal of Dynamical and Control Systems 6 Mathematical Biosciences 6 Journal of Optimization Theory and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Circuits, Systems, and Signal Processing 6 Information and Computation 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Complexity 6 Mathematical and Computer Modelling of Dynamical Systems 6 Nonlinear Analysis. Hybrid Systems 6 International Journal of Systems Science. Principles and Applications of Systems and Integration 5 Multidimensional Systems and Signal Processing 5 International Journal of Adaptive Control and Signal Processing 5 Applied Mathematical Modelling 5 Communications in Nonlinear Science and Numerical Simulation 5 Nonlinear Analysis. Theory, Methods & Applications 4 Applied Mathematics and Computation 4 Bulletin de la Société Mathématique de France 4 Journal of Computer and System Sciences 4 Journal of Functional Analysis 4 Journal of Pure and Applied Algebra 4 RAIRO, Informatique Théorique 4 Numerical Algorithms 4 Journal of Mathematical Sciences (New York) 3 Information Processing Letters 3 Israel Journal of Mathematics 3 Journal of Mathematical Analysis and Applications 3 Chaos, Solitons and Fractals 3 Integral Equations and Operator Theory 3 Journal of Differential Equations 3 Journal of Soviet Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Optimal Control Applications & Methods 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Dynamics and Control 3 Applicable Algebra in Engineering, Communication and Computing 3 Journal of Vibration and Control 3 Fractional Calculus & Applied Analysis 3 Journal of Systems Science and Complexity 3 Mathematical Biosciences and Engineering 3 Control Theory and Technology 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Physics Letters. A 2 Journal of Geometry and Physics 2 Information Sciences 2 International Journal of Mathematics and Mathematical Sciences 2 Inventiones Mathematicae 2 Le Matematiche 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Probability Theory and Related Fields 2 Journal of Economic Dynamics & Control 2 Applied Mathematics Letters 2 Forum Mathematicum 2 Automation and Remote Control 2 Stochastic Processes and their Applications 2 RAIRO. Informatique Théorique et Applications 2 Journal of Computer and Systems Sciences International 2 Selecta Mathematica. New Series 2 Abstract and Applied Analysis 2 Foundations of Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Machine Learning Research (JMLR) 2 Mediterranean Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Mathematics in Computer Science 2 Journal of Geometric Mechanics 1 Acta Informatica 1 Biological Cybernetics 1 Communications in Algebra 1 Communications in Mathematical Physics ...and 85 more Serials all top 5 Cited in 54 Fields 762 Systems theory; control (93-XX) 97 Computer science (68-XX) 74 Ordinary differential equations (34-XX) 62 Mechanics of particles and systems (70-XX) 53 Associative rings and algebras (16-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 39 Numerical analysis (65-XX) 32 Dynamical systems and ergodic theory (37-XX) 29 Commutative algebra (13-XX) 29 Biology and other natural sciences (92-XX) 29 Information and communication theory, circuits (94-XX) 28 Operator theory (47-XX) 27 Partial differential equations (35-XX) 21 Operations research, mathematical programming (90-XX) 20 Field theory and polynomials (12-XX) 20 Probability theory and stochastic processes (60-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Number theory (11-XX) 16 Combinatorics (05-XX) 14 Nonassociative rings and algebras (17-XX) 14 Global analysis, analysis on manifolds (58-XX) 14 Mechanics of deformable solids (74-XX) 13 Real functions (26-XX) 11 Statistics (62-XX) 10 Algebraic geometry (14-XX) 10 Integral transforms, operational calculus (44-XX) 10 Functional analysis (46-XX) 10 Manifolds and cell complexes (57-XX) 9 Mathematical logic and foundations (03-XX) 9 Group theory and generalizations (20-XX) 8 Functions of a complex variable (30-XX) 8 Approximations and expansions (41-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Special functions (33-XX) 6 Category theory; homological algebra (18-XX) 6 Topological groups, Lie groups (22-XX) 6 Integral equations (45-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 5 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 1 \(K\)-theory (19-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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