Edit Profile (opens in new tab) Fliess, Michel Co-Author Distance Author ID: fliess.michel Published as: Fliess, Michel; Fliess, M. External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 167 Publications since 1969, including 1 Book and 9 Additional arXiv Preprints 4 Contributions as Editor · 2 Further Contributions Reviewing Activity: 5 Reviews Biographic References: 1 Publication Co-Authors: 58 Co-Authors with 88 Joint Publications 1,137 Co-Co-Authors all top 5 Co-Authors 83 single-authored 21 Join, Cédric 17 Rouchon, Pierre 14 Lévine, Jean 13 Martin, Philippe 10 Sira-Ramírez, Hebertt J. 9 Mounier, Hugues 6 Delaleau, Emmanuel 5 Marquez, Richard 4 Lamnabhi-Lagarrigue, Françoise 4 Mboup, Mamadou 3 Messager, François 3 Normand-Cyrot, Dorothée 3 Rudolph, Joachim 2 Abouaïssa, Hassane 2 Bara, Ouassim 2 Bourdache-Siguerdidjane, Houria 2 Bourlès, Henri 2 Djouadi, Seddik M. 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 Balmat, Jean-Francois 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 Chaxel, Frédéric 1 Chen, Hanfu 1 Choffrut, Christian 1 Claude, Daniel 1 Coïc, A. 1 Cori, Robert 1 d’Andréa-Novel, Brigitte 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 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 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 Kuruganti, Teja 1 Lafont, Frederic 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 MohammadRidha, Taghreed 1 Moog, Claude H. 1 Olama, Mohammad 1 Perrin, Dominique 1 Perruquetti, Wilfrid 1 Pessel, Nathalie 1 Petit, Nicolas 1 Picci, Giorgio 1 Poznyak, Aleksandr Semënovich 1 Procesi, Claudio 1 Puel, Jean-Pierre 1 Restivo, Antonio ...and 15 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 5 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 International Journal of Robust and Nonlinear Control 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 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 131 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) 2 Biology and other natural sciences (92-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 140 Publications have been cited 2,093 times in 1,203 Documents Cited by ▼ Year ▼ Flatness and defect of non-linear systems: Introductory theory and examples. Zbl 0838.93022 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 316 1995 A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. Zbl 0964.93028 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 114 1999 Fonctionnelles causales non linéaires et indéterminées non commutatives. Zbl 0476.93021 Fliess, Michel 113 1981 Matrices de Hankel. Zbl 0315.94051 Fliess, Michel 101 1974 An algebraic framework for linear identification. Zbl 1063.93014 Fliess, Michel; Sira-Ramírez, Hebertt 70 2003 Model-free control. Zbl 1311.93031 Fliess, Michel; Join, Cédric 63 2013 Generalized controller canonical forms for linear and nonlinear dynamics. Zbl 0724.93010 Fliess, Michel 54 1990 Some basic structural properties of generalized linear systems. Zbl 0727.93024 Fliess, Michel 51 1990 An algebraic approach to nonlinear functional expansions. Zbl 0529.34002 Fliess, Michel; Lamnabhi, Moustanir; Lamnabhi-Lagarrigue, Francoise 51 1983 Sur divers produits de séries formelles. Zbl 0313.13021 Fliess, Michel 50 1974 Numerical differentiation with annihilators in noisy environment. Zbl 1162.65009 Mboup, Mamadou; Join, Cédric; Fliess, Michel 45 2009 Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives. Zbl 0513.93014 Fliess, Michel 43 1983 Sur les systèmes non linéaires différentiellement plats. (On differentially flat nonlinear systems). Zbl 0776.93038 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 42 1992 Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013 Fliess, M.; Mounier, H. 39 1998 Automatique et corps différentiels. (Robotics and differential fields). Zbl 0701.93048 Fliess, Michel 38 1989 Noise: a nonstandard analysis. (Analyse non standard du bruit.) Zbl 1093.94009 Fliess, Michel 33 2006 A finiteness criterion for nonlinear input-output differential systems. Zbl 0529.93031 Fliess, Michel; Kupka, Ivan 32 1983 Parameters estimation of systems with delayed and structured entries. Zbl 1162.93328 Belkoura, Lotfi; Richard, Jean-Pierre; Fliess, Michel 32 2009 Generalized proportional-integral controllers. (Correcteurs proportionnels-intégraux généralisés.) Zbl 1037.93040 Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel; Sira-Ramírez, Hebertt 31 2002 An algebraic approach to linear and nonlinear control. Zbl 0838.93021 Fliess, M.; Glad, S. T. 30 1994 Reversible linear and nonlinear discrete-time dynamics. Zbl 0764.93058 Fliess, Michel 29 1992 Survey on the state of systems and control. Zbl 1177.93001 Blondel, Vincent; Gevers, Michel; Lindquist, Anders 26 1995 Continuous-time linear predictive control and flatness: A module-theoretic setting with examples. Zbl 1006.93508 Fliess, Michel; Marquez, Richard 26 2000 A remark on Willems’ trajectory characterization of linear controllability. Zbl 0765.93003 Fliess, Michel 21 1992 Discrete- time systems and difference algebra. (Automatique en temps discret et algèbre aux différences.) Zbl 0706.93039 Fliess, Michel 20 1990 A note on the invertibility of nonlinear input-output differential systems. Zbl 0634.93035 Fliess, Michel 19 1986 On linear systems with a fractional derivation: Introductory theory and examples. Zbl 1017.93508 Hotzel, Richard; Fliess, Michel 17 1998 An extension of predictive control, PID regulators and Smith predictors to some linear delay systems. Zbl 1021.93015 Fliess, Michel; Marquez, Richard; Mounier, Hugues 17 2002 Optimal feedback control of nonlinear systems. Zbl 0622.49003 Bourdache-Siguerdidjane, Houria; Fliess, Michel 17 1987 Reconstructeurs d’état. (State reconstructors). Zbl 1035.93019 Fliess, Michel; Sira-Ramírez, Hebertt 17 2004 Dynamic feedback linearization and Lie-Bäcklund transformations. (Linéarisation par bouclage dynamique et transformations de Lie- Bäcklund.) Zbl 0796.93042 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 16 1993 Tracking control of a vibrating string with an interior mass viewed as delay system. Zbl 0906.73046 Mounier, H.; Rudolph, J.; Fliess, M.; Rouchon, P. 16 1998 Finite poles and zeros of linear systems: An intrinsic approach. Zbl 1034.93009 Bourlès, Henri; Fliess, Michel 16 1997 Regulation of non-minimum phase outputs: A flatness based approach. Zbl 0967.93021 Fliess, M.; Sira-Ramírez, H.; Marquez, R. 16 1998 Immersion, directe et par bouclage, d’un système non linéaire dans un linéaire. Zbl 0529.93030 Claude, Daniel; Fliess, Michel; Isidori, Alberto 15 1983 Realizations of nonlinear systems and abstract transitive Lie algebras. Zbl 0427.93011 Fliess, Michel 15 1980 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 0802.93010 Fliess, Michel 14 1994 Nonlinear control theory and differential algebra. Zbl 0652.93025 Fliess, Michel 14 1988 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 0898.93018 Fliess, Michel; Mounier, Hugues; Rouchon, Pierre; Rudolph, Joachim 13 1997 Robust residual generation for linear fault diagnosis: an algebraic setting with examples. Zbl 1073.93527 Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 13 2004 Séries reconnaissables, rationnelles et algébriques. Zbl 0219.16003 Fliess, M. 12 1970 Sur la realisation des systèmes dynamiques bilineaires. Zbl 0273.93005 Fliess, Michel 10 1973 A remark on nonlinear accessibility conditions and infinite prolongations. Zbl 1054.93501 Fliess, Michel; Lévine, Jean; Martin, Philippe; Ollivier, François; Rouchon, Pierre 9 1997 Series rationnelles positives et processus stochastiques. Zbl 0337.60057 Fliess, Michel 9 1975 Un outil algébrique: Les séries formelles non commutatives. Zbl 0363.93008 Fliess, Michel 9 1976 A Lie-theorie approach to nonlinear discrete-time controllability via Ritt’s formal differential groups. Zbl 0498.93010 Fliess, Michel; Normand-Cyrot, Dorothee 9 1981 Generalized state variable representation for a simplified crane description. Zbl 0782.93049 Fliess, Michel; Lévine, Jean; Rouchon, Pierre 8 1993 Algebraic change-point detection. Zbl 1184.93030 Fliess, Michel; Join, Cédric; Mboup, Mamadou 8 2010 Algèbres de Lie nilpotentes, formule de Baker-Campbell-Hausdorff et intégrales iterées de K.T. Chen. Zbl 0495.60064 Fliess, Michel; Normand-Cyrot, Dorothee 8 1982 Closed-loop fault-tolerant control for uncertain nonlinear systems. Zbl 1100.93041 Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 8 2005 Un codage non commutatif pour certains systèmes echantillonnes non linéaires. Zbl 0389.93009 Fliess, Michel 7 1978 Differential compression of noisy transient signals. (Compression différentielle de transitoires bruités.) Zbl 1060.94504 Fliess, Michel; Join, Cédric; Mboup, Mamadou; Sira-Ramírez, Hebertt 7 2004 Structure algorithm, filtrations and decoupling. (Algorithme de structure, filtrations et découplage.) Zbl 0791.68113 Delaleau, Emmanuel; Fliess, Michel 7 1992 On ramp metering: towards a better understanding of ALINEA via model-free control. Zbl 1366.93418 Abouaïssa, Hassane; Fliess, Michel; Join, Cédric 7 2017 Deux applications de la représentation matricielle d’une série rationnelle non commutative. (Two applications of matrix representations of a rational non -commutative series). Zbl 0222.16001 Fliess, Michel 7 1971 Finite-dimensional observation-spaces for non-linear systems. Zbl 0495.93031 Fliess, Michel 7 1982 Questioning the classic state-space description via circuit examples. Zbl 0726.93039 Fliess, Michel; Hasler, Martin 6 1990 Some structural properties of linear systems with constant delays. (Quelques propriétés structurelles des systèmes linéaires à retards constants.) Zbl 0805.93001 Fliess, Michel; Mounier, Hugues 6 1994 Tracking control and \(\pi\)-freeness of infinite dimensional linear systems. Zbl 0918.93010 Fliess, Michel; Mounier, Hugues 6 1999 Développements fonctionnels en indeterminees non commutatives des solutions d’équations différentielles non linéaires forcees. Zbl 0402.93027 Fliess, Michel 6 1978 A remark on nonlinear observability. Zbl 0479.93016 Fliess, Michel 6 1982 On the inversion of nonlinear multivariable systems. Zbl 0538.93028 Fliess, Michel 6 1984 Sur le plongement de l’algèbre des séries rationnelles non commutatives dans un corps gauche. Zbl 0211.36002 Fliess, M. 6 1970 Sur la définition des séries formelles algébriques. Zbl 0219.16004 Fliess, M. 6 1971 Controllability revisited. Zbl 0777.93005 Fliess, M. 6 1991 Discussing some examples of linear system interconnections. Zbl 0877.93064 Fliess, Michel; Bourlès, Henri 6 1996 Quelques remarques élementaires sur le calcul des lois de bouclage en commande optimale non linéaire. Zbl 0557.93035 Fliess, Michel; Bourdache-Siguerdidjane, Houria 6 1984 Toward a model-free feedback control synthesis for treating acute inflammation. Zbl 1397.92311 Bara, Ouassim; Fliess, Michel; Join, Cédric; Day, Judy; Djouadi, Seddik M. 6 2018 State feedbacks without asymptotic observers and generalized PID regulators. Zbl 1239.93044 Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel 6 2001 A new approach to the structure at infinity of nonlinear systems. Zbl 0608.93038 Fliess, Michel 6 1986 Sliding mode control of DC-to-DC power converters using integral reconstructors. Zbl 1011.93528 Sira-Ramirez, H.; Marquez-Contreras, R.; Fliess, M. 6 2002 Some remarks on nonlinear invertibility and dynamic state-feedback. Zbl 0601.93028 Fliess, Michel 6 1986 Two applications of the local geometry of diffieties. (Deux applications de la géométrie locale des diffiétés.) Zbl 0895.58003 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 5 1997 Generalized linear systems with lumped or distributed parameters and differential vector spaces. Zbl 0684.93001 Fliess, Michel 5 1989 An algebraic state estimation approach for the recovery of chaotically encrypted messages. Zbl 1098.94005 Sira-Ramírez, Hebertt; Fliess, Michel 5 2006 An alternative to proportional-integral and proportional-integral-derivative regulators: intelligent proportional-derivative regulators. Zbl 1529.93025 Fliess, Michel; Join, Cédric 5 2022 A note on Volterra series expansions for nonlinear differential systems. Zbl 0429.93028 Fliess, Michel 5 1980 Generating series for discrete-time nonlinear systems. Zbl 0441.93016 Fliess, Michel 5 1980 Variations on the notion of controllability. (Variations sur la notion de contrôlabilité.) Zbl 0992.93002 Fliess, Michel 5 2000 Index of an implicit time-varying linear differential equation: A noncommutative linear algebraic approach. Zbl 0774.34002 Fliess, Michel; Lévine, Jean; Rouchon, Pierre 5 1993 New Trends in nonlinear control theory. Proceedings of an international conference on nonlinear systems, Nantes, France, June 13-17, 1988. Zbl 0672.00015 5 1989 Séries de Volterra et formalisme hamiltonien (Volterra series and Hamiltonian formalism). Zbl 0583.93022 Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 5 1984 Volterra series and optimal control. Zbl 0611.49015 Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 5 1986 Sur les systèmes dynamique bilinéaires qui sont linéaires. Zbl 0281.93004 Fliess, Michel 5 1974 Transductions de séries formelles. Zbl 0301.16003 Fliess, Michel 5 1974 The unobservability ideal for nonlinear systems. Zbl 0487.93011 Fliess, Michel 5 1981 Vers une stabilisation non linéaire discontinue. (On a discontinuous nonlinear stabilization problem.). Zbl 0716.93046 Fliess, Michel; Messager, François 4 1990 A fundamental result on the invertibility of discrete time dynamics. Zbl 0789.93095 Fliess, Michel 4 1991 On linear systems with a derivation of non-integer order. (Sur les systèmes linéaires à dérivation non entière.) Zbl 0870.93024 Fliess, Michel; Hotzel, Richard 4 1997 Propriétés booléennes des langages stochastiques. Zbl 0262.94037 Fliess, Michel 4 1974 Transductions algèbriques. Zbl 0219.68038 Fliess, M. 4 1970 Controlling nonlinear systems by flatness. Zbl 0868.93028 Fliess, M.; Levine, J.; Martin, P.; Ollivier, F.; Rouchon, P. 4 1997 Algebraic and geometric methods in nonlinear control theory. (Proceedings of the Conference held in Paris, France, June 1985). Zbl 0596.00024 4 1986 A Lie-Bäcklund approach to dynamic feedback equivalence and flatness. Zbl 0858.93034 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 3 1996 On a new differential geometric setting in nonlinear control. Zbl 0885.93014 Fliess, M.; Lévine, J.; Martin, P.; Rouchon, P. 3 1997 Défaut d’un système non linéaire et commande haute fréquence. (Defect of a nonlinear system and high frequency control). Zbl 0777.93044 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 3 1993 Inversion formulas. (Formules d’inversion.) Zbl 0802.93027 El Asmi, S.; Fliess, M. 3 1991 On sliding mode control strategies. (Sur la commande en régime glissant.) Zbl 0734.93047 Fliess, Michel; Messager, François 3 1991 Linear sliding modes and variable structure systems: a module-theoretic approach. (Régimes glissants, structures variables linéaires et modules.) Zbl 0787.93018 Fliess, Michel; Sira-Ramirez, Hebertt 3 1993 A simple definition of hidden modes, poles and zeros. Zbl 0746.93037 Fliess, Michel 3 1991 An alternative to proportional-integral and proportional-integral-derivative regulators: intelligent proportional-derivative regulators. Zbl 1529.93025 Fliess, Michel; Join, Cédric 5 2022 Comments on: “Differentiator application in altitude control for an indoor blimp robot”. Zbl 1443.93089 Mboup, 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 1397.92311 Bara, Ouassim; Fliess, Michel; Join, Cédric; Day, Judy; Djouadi, Seddik M. 6 2018 On ramp metering: towards a better understanding of ALINEA via model-free control. Zbl 1366.93418 Abouaïssa, Hassane; Fliess, Michel; Join, Cédric 7 2017 A variable reference trajectory for model-free glycemia regulation. Zbl 1544.92083 MohammadRidha, Taghreed; Moog, Claude H.; Delaleau, Emmanuel; Fliess, Michel; Join, Cédric 1 2015 Model-free control. Zbl 1311.93031 Fliess, Michel; Join, Cédric 63 2013 Algebraic change-point detection. Zbl 1184.93030 Fliess, Michel; Join, Cédric; Mboup, Mamadou 8 2010 Numerical differentiation with annihilators in noisy environment. Zbl 1162.65009 Mboup, Mamadou; Join, Cédric; Fliess, Michel 45 2009 Parameters estimation of systems with delayed and structured entries. Zbl 1162.93328 Belkoura, Lotfi; Richard, Jean-Pierre; Fliess, Michel 32 2009 Noise: a nonstandard analysis. (Analyse non standard du bruit.) Zbl 1093.94009 Fliess, Michel 33 2006 An algebraic state estimation approach for the recovery of chaotically encrypted messages. Zbl 1098.94005 Sira-Ramírez, Hebertt; Fliess, Michel 5 2006 Closed-loop fault-tolerant control for uncertain nonlinear systems. Zbl 1100.93041 Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 8 2005 Reconstructeurs d’état. (State reconstructors). Zbl 1035.93019 Fliess, Michel; Sira-Ramírez, Hebertt 17 2004 Robust residual generation for linear fault diagnosis: an algebraic setting with examples. Zbl 1073.93527 Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt 13 2004 Differential compression of noisy transient signals. (Compression différentielle de transitoires bruités.) Zbl 1060.94504 Fliess, Michel; Join, Cédric; Mboup, Mamadou; Sira-Ramírez, Hebertt 7 2004 An algebraic framework for linear identification. Zbl 1063.93014 Fliess, Michel; Sira-Ramírez, Hebertt 70 2003 Generalized proportional-integral controllers. (Correcteurs proportionnels-intégraux généralisés.) Zbl 1037.93040 Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel; Sira-Ramírez, Hebertt 31 2002 An extension of predictive control, PID regulators and Smith predictors to some linear delay systems. Zbl 1021.93015 Fliess, Michel; Marquez, Richard; Mounier, Hugues 17 2002 Sliding mode control of DC-to-DC power converters using integral reconstructors. Zbl 1011.93528 Sira-Ramirez, H.; Marquez-Contreras, R.; Fliess, M. 6 2002 On the structure of linear recurrent error-control codes. Zbl 1070.94026 Fliess, Michel 2 2002 A trajectory interpretation of torsion-free controllability. Zbl 1008.93020 Fliess, Michel; Mounier, Hugues 1 2002 State feedbacks without asymptotic observers and generalized PID regulators. Zbl 1239.93044 Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel 6 2001 On a class of linear delay systems often arising in practice. Zbl 1265.93061 Fliess, Michel; Mounier, Hugues 2 2001 Continuous-time linear predictive control and flatness: A module-theoretic setting with examples. Zbl 1006.93508 Fliess, Michel; Marquez, Richard 26 2000 Variations on the notion of controllability. (Variations sur la notion de contrôlabilité.) Zbl 0992.93002 Fliess, Michel 5 2000 A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. Zbl 0964.93028 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 114 1999 Tracking control and \(\pi\)-freeness of infinite dimensional linear systems. Zbl 0918.93010 Fliess, Michel; Mounier, Hugues 6 1999 Linear time delay systems (LTDS ’98). Proceedings of the IFAC Workshop held in Grenoble, France, July 6–7, 1998. Zbl 0930.93002 2 1999 Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013 Fliess, M.; Mounier, H. 39 1998 On linear systems with a fractional derivation: Introductory theory and examples. Zbl 1017.93508 Hotzel, Richard; Fliess, Michel 17 1998 Tracking control of a vibrating string with an interior mass viewed as delay system. Zbl 0906.73046 Mounier, H.; Rudolph, J.; Fliess, M.; Rouchon, P. 16 1998 Regulation of non-minimum phase outputs: A flatness based approach. Zbl 0967.93021 Fliess, M.; Sira-Ramírez, H.; Marquez, R. 16 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 1001.93032 Fliess, Michel; Martin, Philippe; Petit, Nicolas; Rouchon, Pierre 2 1998 Finite poles and zeros of linear systems: An intrinsic approach. Zbl 1034.93009 Bourlès, 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 0898.93018 Fliess, Michel; Mounier, Hugues; Rouchon, Pierre; Rudolph, Joachim 13 1997 A remark on nonlinear accessibility conditions and infinite prolongations. Zbl 1054.93501 Fliess, Michel; Lévine, Jean; Martin, Philippe; Ollivier, François; Rouchon, Pierre 9 1997 Two applications of the local geometry of diffieties. (Deux applications de la géométrie locale des diffiétés.) Zbl 0895.58003 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 5 1997 On linear systems with a derivation of non-integer order. (Sur les systèmes linéaires à dérivation non entière.) Zbl 0870.93024 Fliess, Michel; Hotzel, Richard 4 1997 Controlling nonlinear systems by flatness. Zbl 0868.93028 Fliess, M.; Levine, J.; Martin, P.; Ollivier, F.; Rouchon, P. 4 1997 On a new differential geometric setting in nonlinear control. Zbl 0885.93014 Fliess, 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 0874.93021 Fliess, Michel; Rudolph, Joachim 2 1997 Discussing some examples of linear system interconnections. Zbl 0877.93064 Fliess, Michel; Bourlès, Henri 6 1996 A Lie-Bäcklund approach to dynamic feedback equivalence and flatness. Zbl 0858.93034 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 3 1996 Flatness and defect of non-linear systems: Introductory theory and examples. Zbl 0838.93022 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 316 1995 Survey on the state of systems and control. Zbl 1177.93001 Blondel, Vincent; Gevers, Michel; Lindquist, Anders 26 1995 Differential flatness and defect: An overview. Zbl 1010.93504 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 2 1995 An algebraic approach to linear and nonlinear control. Zbl 0838.93021 Fliess, M.; Glad, S. T. 30 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 0802.93010 Fliess, Michel 14 1994 Some structural properties of linear systems with constant delays. (Quelques propriétés structurelles des systèmes linéaires à retards constants.) Zbl 0805.93001 Fliess, Michel; Mounier, Hugues 6 1994 Dynamic feedback linearization and Lie-Bäcklund transformations. (Linéarisation par bouclage dynamique et transformations de Lie- Bäcklund.) Zbl 0796.93042 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 16 1993 Generalized state variable representation for a simplified crane description. Zbl 0782.93049 Fliess, Michel; Lévine, Jean; Rouchon, Pierre 8 1993 Index of an implicit time-varying linear differential equation: A noncommutative linear algebraic approach. Zbl 0774.34002 Fliess, 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 0777.93044 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 3 1993 Linear sliding modes and variable structure systems: a module-theoretic approach. (Régimes glissants, structures variables linéaires et modules.) Zbl 0787.93018 Fliess, Michel; Sira-Ramirez, Hebertt 3 1993 Invertibility of causal discrete time dynamical systems. Zbl 0780.58040 Fliess, Michel 1 1993 Some remarks on the Brunovsky canonical form. Zbl 0806.93007 Fliess, Michel 1 1993 Sur les systèmes non linéaires différentiellement plats. (On differentially flat nonlinear systems). Zbl 0776.93038 Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre 42 1992 Reversible linear and nonlinear discrete-time dynamics. Zbl 0764.93058 Fliess, Michel 29 1992 A remark on Willems’ trajectory characterization of linear controllability. Zbl 0765.93003 Fliess, Michel 21 1992 Structure algorithm, filtrations and decoupling. (Algorithme de structure, filtrations et découplage.) Zbl 0791.68113 Delaleau, Emmanuel; Fliess, Michel 7 1992 Non-linear predictive control by inversion: Discontinuities for critical behaviour. Zbl 0761.93034 Abu el Ata-Doss, S.; Coïc, A.; Fliess, M. 2 1992 Controllability revisited. Zbl 0777.93005 Fliess, M. 6 1991 A fundamental result on the invertibility of discrete time dynamics. Zbl 0789.93095 Fliess, Michel 4 1991 Inversion formulas. (Formules d’inversion.) Zbl 0802.93027 El Asmi, S.; Fliess, M. 3 1991 On sliding mode control strategies. (Sur la commande en régime glissant.) Zbl 0734.93047 Fliess, Michel; Messager, François 3 1991 A simple definition of hidden modes, poles and zeros. Zbl 0746.93037 Fliess, Michel 3 1991 Methods of nonlinear discontinuous stabilization. Zbl 0738.93031 Fliess, Michel; Messager, François 2 1991 Generalized controller canonical forms for linear and nonlinear dynamics. Zbl 0724.93010 Fliess, Michel 54 1990 Some basic structural properties of generalized linear systems. Zbl 0727.93024 Fliess, Michel 51 1990 Discrete- time systems and difference algebra. (Automatique en temps discret et algèbre aux différences.) Zbl 0706.93039 Fliess, Michel 20 1990 Questioning the classic state-space description via circuit examples. Zbl 0726.93039 Fliess, Michel; Hasler, Martin 6 1990 Vers une stabilisation non linéaire discontinue. (On a discontinuous nonlinear stabilization problem.). Zbl 0716.93046 Fliess, Michel; Messager, François 4 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 0701.93048 Fliess, Michel 38 1989 Generalized linear systems with lumped or distributed parameters and differential vector spaces. Zbl 0684.93001 Fliess, 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 5 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 0664.93038 Fliess, Michel 3 1989 Commandabilité, matrices de transfert et modes cachés. (Controllability, transfer matrices and hidden modes). Zbl 0685.93009 Fliess, Michel 2 1989 Some remarks on nonlinear input-output systems with delays. Zbl 0674.93001 Fliess, Michel 1 1989 Nonlinear control theory and differential algebra. Zbl 0652.93025 Fliess, Michel 14 1988 Sur quelques problèmes concernant les systèmes linéaires généralisés. (About some problems concerning generalized linear systems). Zbl 0696.93031 Fliess, Michel 1 1988 Optimal feedback control of nonlinear systems. Zbl 0622.49003 Bourdache-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 0615.93006 Fliess, Michel 3 1987 A differential algebraic approach to mechanics with perfect nonholonomic constraints. Zbl 0629.12021 Fliess, Michel 2 1987 A note on the invertibility of nonlinear input-output differential systems. Zbl 0634.93035 Fliess, Michel 19 1986 A new approach to the structure at infinity of nonlinear systems. Zbl 0608.93038 Fliess, Michel 6 1986 Some remarks on nonlinear invertibility and dynamic state-feedback. Zbl 0601.93028 Fliess, Michel 6 1986 Volterra series and optimal control. Zbl 0611.49015 Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 5 1986 Algebraic and geometric methods in nonlinear control theory. (Proceedings of the Conference held in Paris, France, June 1985). Zbl 0596.00024 4 1986 Vers une notion de dérivation fonctionnelle causale. (Towards a notion of causal functional derivatives). Zbl 0602.93032 Fliess, Michel 2 1986 Cascade decomposition of nonlinear systems, foliations and ideals of transitive Lie algebras. Zbl 0562.93040 Fliess, Michel 2 1985 Functional expansions in nonlinear system theory. Zbl 0599.93022 Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 2 1985 On the inversion of nonlinear multivariable systems. Zbl 0538.93028 Fliess, Michel 6 1984 Quelques remarques élementaires sur le calcul des lois de bouclage en commande optimale non linéaire. Zbl 0557.93035 Fliess, Michel; Bourdache-Siguerdidjane, Houria 6 1984 Séries de Volterra et formalisme hamiltonien (Volterra series and Hamiltonian formalism). Zbl 0583.93022 Fliess, Michel; Lamnabhi-Lagarrigue, Françoise 5 1984 La commande optimale en boucle fermée comme problème de Cauchy. Zbl 0565.49021 Fliess, Michel 2 1984 An algebraic approach to nonlinear functional expansions. Zbl 0529.34002 Fliess, Michel; Lamnabhi, Moustanir; Lamnabhi-Lagarrigue, Francoise 51 1983 Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives. Zbl 0513.93014 Fliess, Michel 43 1983 A finiteness criterion for nonlinear input-output differential systems. Zbl 0529.93031 Fliess, Michel; Kupka, Ivan 32 1983 Immersion, directe et par bouclage, d’un système non linéaire dans un linéaire. Zbl 0529.93030 Claude, Daniel; Fliess, Michel; Isidori, Alberto 15 1983 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,628 Authors 55 Sira-Ramírez, Hebertt J. 52 Fliess, Michel 23 Gray, W. Steven 19 Chetverikov, Vladimir N. 19 Kotta, Ulle 17 Barbot, Jean-Pierre 16 Boutat, Driss 16 Lévine, Jean 15 Join, Cédric 14 Liu, Dayan 14 Rouchon, Pierre 12 Alpay, Daniel Aron 12 Martin, Philippe 12 Mounier, Hugues 12 Perruquetti, Wilfrid 12 Respondek, Witold 12 Reutenauer, Christophe 12 Zheng, Gang 11 Normand-Cyrot, Dorothée 11 Tie, Lin 10 Ebrahimi-Fard, Kurusch 10 Gauthier, Jean-Paul A. 10 Monaco, Salvatore 10 Sontag, Eduardo D. 10 Tian, Yang 9 Bourlès, Henri 9 Duffaut Espinosa, Luis A. 9 Ignatovich, Svetlana Yu. 9 Martinez-Guerra, Rafael 9 Rudolph, Joachim 8 Belkoura, Lotfi 8 Lomadze, Vakhtang 8 Luviano-Juárez, Alberto 8 Mboup, Mamadou 8 Millerioux, Gilles 8 Nijmeijer, Henk 8 Paykan, Kamal 8 Richard, Jean-Pierre 8 Schöberl, Markus 8 Sklyar, Grigory Mikhailovitch 8 Suarez-Castañon, Miguel Santiago 7 Beltran-Carbajal, Francisco 7 Delaleau, Emmanuel 7 Duchamp, Gerard Henry Edmond 7 Floquet, Thierry 7 Hagenmeyer, Veit 7 Lamnabhi-Lagarrigue, Françoise 7 Meurer, Thomas 7 Moog, Claude H. 7 Nicolau, Florentina 7 Quadrat, Alban 7 Wang, Haoping 6 Aguilar-Ibáñez, Carlos Fernando 6 Aschemann, Harald 6 Balle, Borja 6 Bartosiewicz, Zbigniew 6 Colombo, Fabrizio 6 Hoang Ngoc Minh, Vincel 6 Jiang, Zhong-Ping 6 Kolar, Bernd 6 Letellier, Christophe 6 Marinescu, Bogdan 6 Oberst, Ulrich 6 Rauh, Andreas 6 Sabadini, Irene 6 Silva-Navarro, Gerardo 6 Zeitz, Michael J. 5 Aguilar-Orduna, Mario Andres 5 Crouch, Peter E. 5 Djennoune, Said 5 Isidori, Alberto 5 Kugi, Andreas 5 Ollivier, François 5 Pereira da Silva, Paulo Sérgio 5 Petreczky, Mihály 5 Plestan, Franck 5 Sakarovitch, Jacques 5 Ushirobira, Rosane 5 Verdière, Nathalie 5 Vinnikov, Victor L. 4 Besançon, Gildas 4 Bettayeb, Maamar 4 Bhatti, Aamer Iqbal 4 Efimov, Denis V. 4 Gastin, Paul 4 Glumineau, Alain 4 Gstöttner, Conrad 4 Halás, Miroslav 4 Helton, John William 4 Hespel, Christiane 4 Ibn Taarit, Kaouther 4 Kaldmäe, Arvo 4 Levant, Arie 4 Liu, Haoran 4 Mekki, Hassen 4 Melchior, Pierre 4 Mullari, Tanel 4 Oustaloup, Alain 4 Polyakov, Andrey 4 Riachy, Samer ...and 1,528 more Authors all top 5 Cited in 207 Serials 120 International Journal of Control 117 Automatica 107 Systems & Control Letters 45 International Journal of Robust and Nonlinear Control 32 Asian Journal of Control 27 Journal of the Franklin Institute 27 Theoretical Computer Science 20 MCSS. Mathematics of Control, Signals, and Systems 20 European Journal of Control 19 Kybernetika 19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 17 Linear Algebra and its Applications 15 International Journal of Systems Science 14 Mathematical Problems in Engineering 14 Differential Equations 13 Mathematical Systems Theory 13 Nonlinear Dynamics 13 International Journal of Applied Mathematics and Computer Science 11 Mathematics and Computers in Simulation 11 SIAM Journal on Control and Optimization 11 Journal of Symbolic Computation 11 Multibody System Dynamics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Algebra 9 International Journal of Adaptive Control and Signal Processing 8 Discrete Mathematics 8 Communications in Nonlinear Science and Numerical Simulation 8 International Journal of Systems Science. Principles and Applications of Systems and Integration 7 Physics Letters. A 7 Journal of Computational and Applied Mathematics 7 Journal of Dynamical and Control Systems 7 Nonlinear Analysis. Hybrid 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 Applied Mathematics Letters 6 Applied Mathematical Modelling 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Complexity 6 Mathematical and Computer Modelling of Dynamical Systems 5 Applied Mathematics and Computation 5 Journal of Computer and System Sciences 5 Journal of Pure and Applied Algebra 5 Multidimensional Systems and Signal Processing 5 Nonlinear Analysis. Theory, Methods & Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Information Processing Letters 4 Bulletin de la Société Mathématique de France 4 Information Sciences 4 Journal of Functional Analysis 4 RAIRO, Informatique Théorique 4 Optimal Control Applications & Methods 4 Numerical Algorithms 4 Journal of Mathematical Sciences (New York) 4 Chaos 4 Foundations of Computational Mathematics 4 Journal of Systems Science and Complexity 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 Advances in Applied Mathematics 3 Acta Applicandae Mathematicae 3 Mathematical and Computer Modelling 3 Dynamics and Control 3 Applicable Algebra in Engineering, Communication and Computing 3 Advances in Applied Clifford Algebras 3 Journal of Vibration and Control 3 Fractional Calculus & Applied Analysis 3 Mathematical Biosciences and Engineering 3 IET Control Theory & Applications 3 Control Theory and Technology 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Journal of Geometry and Physics 2 International Journal of Mathematics and Mathematical Sciences 2 Inventiones Mathematicae 2 Le Matematiche 2 Proceedings of the American Mathematical Society 2 European Journal of Combinatorics 2 Physica D 2 Probability Theory and Related Fields 2 Journal of Economic Dynamics & Control 2 Forum Mathematicum 2 Automation and Remote Control 2 Stochastic Processes and their Applications 2 RAIRO. 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Series B 2 Journal of Machine Learning Research (JMLR) 2 Journal of Algebra and its Applications ...and 107 more Serials all top 5 Cited in 55 Fields 903 Systems theory; control (93-XX) 118 Computer science (68-XX) 82 Ordinary differential equations (34-XX) 75 Mechanics of particles and systems (70-XX) 62 Associative rings and algebras (16-XX) 49 Calculus of variations and optimal control; optimization (49-XX) 47 Numerical analysis (65-XX) 43 Dynamical systems and ergodic theory (37-XX) 33 Commutative algebra (13-XX) 33 Partial differential equations (35-XX) 33 Biology and other natural sciences (92-XX) 32 Operator theory (47-XX) 30 Information and communication theory, circuits (94-XX) 27 Probability theory and stochastic processes (60-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 25 Operations research, mathematical programming (90-XX) 24 Field theory and polynomials (12-XX) 19 Combinatorics (05-XX) 17 Number theory (11-XX) 16 Real functions (26-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Nonassociative rings and algebras (17-XX) 15 Functional analysis (46-XX) 15 Mechanics of deformable solids (74-XX) 13 Statistics (62-XX) 11 Group theory and generalizations (20-XX) 11 Functions of a complex variable (30-XX) 11 Manifolds and cell complexes (57-XX) 10 Algebraic geometry (14-XX) 10 Integral transforms, operational calculus (44-XX) 9 Mathematical logic and foundations (03-XX) 9 Approximations and expansions (41-XX) 8 Topological groups, Lie groups (22-XX) 8 Optics, electromagnetic theory (78-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Category theory; homological algebra (18-XX) 7 Special functions (33-XX) 7 Difference and functional equations (39-XX) 6 Integral equations (45-XX) 6 Differential geometry (53-XX) 6 Quantum theory (81-XX) 5 Fluid mechanics (76-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Abstract harmonic analysis (43-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Statistical mechanics, structure of matter (82-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 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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