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Author ID: fliess.michel Recent zbMATH articles by "Fliess, Michel"
Published as: Fliess, Michel; Fliess, M.
External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp
Documents Indexed: 165 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: 56 Co-Authors with 86 Joint Publications
1,079 Co-Co-Authors
all top 5

Co-Authors

83 single-authored
19 Join, Cédric
17 Rouchon, Pierre
14 Lévine, Jean
13 Martin, Philippe
10 Sira-Ramírez, Hebertt J.
9 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 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 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 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
1 Riachy, Samer
1 Richard, Jean-Pierre
1 Rosenstiehl, Pierre
...and 12 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 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

129 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

Citations contained in zbMATH Open

139 Publications have been cited 2,002 times in 1,143 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
300
1995
Fonctionnelles causales non linéaires et indéterminées non commutatives. Zbl 0476.93021
Fliess, Michel
109
1981
A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems. Zbl 0964.93028
Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre
105
1999
Matrices de Hankel. Zbl 0315.94051
Fliess, Michel
97
1974
An algebraic framework for linear identification. Zbl 1063.93014
Fliess, Michel; Sira-Ramírez, Hebertt
66
2003
Generalized controller canonical forms for linear and nonlinear dynamics. Zbl 0724.93010
Fliess, Michel
54
1990
An algebraic approach to nonlinear functional expansions. Zbl 0529.34002
Fliess, Michel; Lamnabhi, Moustanir; Lamnabhi-Lagarrigue, Francoise
51
1983
Model-free control. Zbl 1311.93031
Fliess, Michel; Join, Cédric
49
2013
Some basic structural properties of generalized linear systems. Zbl 0727.93024
Fliess, Michel
48
1990
Sur divers produits de séries formelles. Zbl 0313.13021
Fliess, Michel
47
1974
Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives. Zbl 0513.93014
Fliess, Michel
43
1983
Numerical differentiation with annihilators in noisy environment. Zbl 1162.65009
Mboup, Mamadou; Join, Cédric; Fliess, Michel
42
2009
Sur les systèmes non linéaires différentiellement plats. (On differentially flat nonlinear systems). Zbl 0776.93038
Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre
37
1992
Controllability and observability of linear delay systems: An algebraic approach. Zbl 0908.93013
Fliess, M.; Mounier, H.
36
1998
Automatique et corps différentiels. (Robotics and differential fields). Zbl 0701.93048
Fliess, Michel
35
1989
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
31
2009
Generalized proportional-integral controllers. (Correcteurs proportionnels-intégraux généralisés.) Zbl 1037.93040
Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel; Sira-Ramírez, Hebertt
31
2002
Noise: a nonstandard analysis. (Analyse non standard du bruit.) Zbl 1093.94009
Fliess, Michel
30
2006
Reversible linear and nonlinear discrete-time dynamics. Zbl 0764.93058
Fliess, Michel
29
1992
An algebraic approach to linear and nonlinear control. 2nd printing with correct. Zbl 0838.93021
Fliess, M.; Glad, S. T.
28
1994
Continuous-time linear predictive control and flatness: A module-theoretic setting with examples. Zbl 1006.93508
Fliess, Michel; Marquez, Richard
25
2000
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
24
1995
A remark on Willems’ trajectory characterization of linear controllability. Zbl 0765.93003
Fliess, Michel
20
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
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
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
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
Finite poles and zeros of linear systems: An intrinsic approach. Zbl 1034.93009
Bourlès, Henri; Fliess, Michel
16
1997
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
Realizations of nonlinear systems and abstract transitive Lie algebras. Zbl 0427.93011
Fliess, Michel
15
1980
Regulation of non-minimum phase outputs: A flatness based approach. Zbl 0967.93021
Fliess, M.; Sira-Ramírez, H.; Marquez, R.
15
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
Nonlinear control theory and differential algebra. Zbl 0652.93025
Fliess, Michel
14
1988
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
13
1994
Robust residual generation for linear fault diagnosis: an algebraic setting with examples. Zbl 1073.93527
Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt
13
2004
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
12
1997
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
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 remark on nonlinear accessibility conditions and infinite prolongations. Zbl 1054.93501
Fliess, Michel; Lévine, Jean; Martin, Philippe; Ollivier, François; Rouchon, Pierre
9
1997
Closed-loop fault-tolerant control for uncertain nonlinear systems. Zbl 1100.93041
Fliess, Michel; Join, Cédric; Sira-Ramírez, Hebertt
8
2005
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
A Lie-theorie approach to nonlinear discrete-time controllability via Ritt’s formal differential groups. Zbl 0498.93010
Fliess, Michel; Normand-Cyrot, Dorothee
8
1981
Algebraic change-point detection. Zbl 1184.93030
Fliess, Michel; Join, Cédric; Mboup, Mamadou
8
2010
Finite-dimensional observation-spaces for non-linear systems. Zbl 0495.93031
Fliess, Michel
7
1982
Un codage non commutatif pour certains systèmes echantillonnes non linéaires. Zbl 0389.93009
Fliess, Michel
7
1978
Generalized state variable representation for a simplified crane description. Zbl 0782.93049
Fliess, Michel; Lévine, Jean; Rouchon, Pierre
7
1993
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
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
On ramp metering: towards a better understanding of ALINEA via model-free control. Zbl 1366.93418
Abouaïssa, Hassane; Fliess, Michel; Join, Cédric
7
2017
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
Structure algorithm, filtrations and decoupling. (Algorithme de structure, filtrations et découplage.) Zbl 0791.68113
Delaleau, Emmanuel; Fliess, Michel
6
1992
Tracking control and \(\pi\)-freeness of infinite dimensional linear systems. Zbl 0918.93010
Fliess, Michel; Mounier, Hugues
6
1999
Discussing some examples of linear system interconnections. Zbl 0877.93064
Fliess, Michel; Bourlès, Henri
6
1996
Sur la définition des séries formelles algébriques. Zbl 0219.16004
Fliess, M.
6
1971
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
State feedbacks without asymptotic observers and generalized PID regulators. Zbl 1239.93044
Fliess, Michel; Marquez, Richard; Delaleau, Emmanuel
6
2001
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
Développements fonctionnels en indeterminees non commutatives des solutions d’équations différentielles non linéaires forcees. Zbl 0402.93027
Fliess, Michel
6
1978
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
Sur le plongement de l’algèbre des séries rationnelles non commutatives dans un corps gauche. Zbl 0211.36002
Fliess, M.
6
1970
A new approach to the structure at infinity of nonlinear systems. Zbl 0608.93038
Fliess, Michel
6
1986
Controllability revisited. Zbl 0777.93005
Fliess, M.
6
1991
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
Questioning the classic state-space description via circuit examples. Zbl 0726.93039
Fliess, Michel; Hasler, Martin
6
1990
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
The unobservability ideal for nonlinear systems. Zbl 0487.93011
Fliess, Michel
5
1981
Séries de Volterra et formalisme hamiltonien (Volterra series and Hamiltonian formalism). Zbl 0583.93022
Fliess, Michel; Lamnabhi-Lagarrigue, Françoise
5
1984
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
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
Transductions de séries formelles. Zbl 0301.16003
Fliess, Michel
5
1974
Sur les systèmes dynamique bilinéaires qui sont linéaires. Zbl 0281.93004
Fliess, Michel
5
1974
An algebraic state estimation approach for the recovery of chaotically encrypted messages. Zbl 1098.94005
Sira-Ramírez, Hebertt; Fliess, Michel
5
2006
Variations on the notion of controllability. (Variations sur la notion de contrôlabilité.) Zbl 0992.93002
Fliess, Michel
5
2000
Volterra series and optimal control. Zbl 0611.49015
Fliess, Michel; Lamnabhi-Lagarrigue, Françoise
5
1986
Generalized linear systems with lumped or distributed parameters and differential vector spaces. Zbl 0684.93001
Fliess, Michel
5
1989
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
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
4
1997
Transductions algèbriques. Zbl 0219.68038
Fliess, M.
4
1970
Propriétés booléennes des langages stochastiques. Zbl 0262.94037
Fliess, Michel
4
1974
A fundamental result on the invertibility of discrete time dynamics. Zbl 0789.93095
Fliess, Michel
4
1991
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 stabilisation non linéaire discontinue. (On a discontinuous nonlinear stabilization problem.). Zbl 0716.93046
Fliess, Michel; Messager, François
4
1990
Stabilité d’un type élémentaire d’équations différentielles stochastiques à bruits vectoriels. Zbl 0454.93053
Fliess, Michel
3
1981
On a new differential geometric setting in nonlinear control. Zbl 0885.93014
Fliess, M.; Lévine, J.; Martin, P.; Rouchon, P.
3
1997
A Lie-Bäcklund approach to dynamic feedback equivalence and flatness. Zbl 0858.93034
Fliess, Michel; Lévine, Jean; Martin, Philippe; Rouchon, Pierre
3
1996
Series de Volterra et séries formelles non commutatives. Zbl 0309.93028
Fliess, Michel
3
1975
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
A simple definition of hidden modes, poles and zeros. Zbl 0746.93037
Fliess, Michel
3
1991
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
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
An alternative to proportional-integral and proportional-integral-derivative regulators: intelligent proportional-derivative regulators. Zbl 1529.93025
Fliess, Michel; Join, Cédric
2
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
Model-free control. Zbl 1311.93031
Fliess, Michel; Join, Cédric
49
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
42
2009
Parameters estimation of systems with delayed and structured entries. Zbl 1162.93328
Belkoura, Lotfi; Richard, Jean-Pierre; Fliess, Michel
31
2009
Noise: a nonstandard analysis. (Analyse non standard du bruit.) Zbl 1093.94009
Fliess, Michel
30
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
66
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
25
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
105
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.
36
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.
15
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
12
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
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
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
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
300
1995
Survey on the state of systems and control. Zbl 1177.93001
Blondel, Vincent; Gevers, Michel; Lindquist, Anders
24
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. 2nd printing with correct. Zbl 0838.93021
Fliess, M.; Glad, S. T.
28
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
13
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
7
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
2
1993
Some remarks on the Brunovsky canonical form. Zbl 0806.93007
Fliess, Michel
1
1993
Invertibility of causal discrete time dynamical systems. Zbl 0780.58040
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
37
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
20
1992
Structure algorithm, filtrations and decoupling. (Algorithme de structure, filtrations et découplage.) Zbl 0791.68113
Delaleau, Emmanuel; Fliess, Michel
6
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
A simple definition of hidden modes, poles and zeros. Zbl 0746.93037
Fliess, Michel
3
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
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
48
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
35
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
Generalized linear systems with lumped or distributed parameters and differential vector spaces. Zbl 0684.93001
Fliess, Michel
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
Some remarks on nonlinear invertibility and dynamic state-feedback. Zbl 0601.93028
Fliess, Michel
6
1986
A new approach to the structure at infinity of nonlinear systems. Zbl 0608.93038
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
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
On the inversion of nonlinear multivariable systems. Zbl 0538.93028
Fliess, Michel
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
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
...and 39 more Documents
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Cited by 1,539 Authors

53 Sira-Ramírez, Hebertt J.
51 Fliess, Michel
22 Gray, W. Steven
20 Chetverikov, Vladimir N.
18 Kotta, Ulle
16 Boutat, Driss
15 Lévine, Jean
14 Barbot, Jean-Pierre
14 Join, Cédric
14 Rouchon, Pierre
12 Liu, Dayan
12 Martin, Philippe
12 Mounier, Hugues
12 Perruquetti, Wilfrid
12 Reutenauer, Christophe
11 Respondek, Witold
11 Zheng, Gang
10 Alpay, Daniel Aron
10 Gauthier, Jean-Paul A.
10 Normand-Cyrot, Dorothée
10 Sontag, Eduardo D.
10 Tie, Lin
9 Duffaut Espinosa, Luis A.
9 Ebrahimi-Fard, Kurusch
9 Ignatovich, Svetlana Yu.
9 Martinez-Guerra, Rafael
9 Monaco, Salvatore
9 Rudolph, Joachim
8 Belkoura, Lotfi
8 Bourlès, Henri
8 Lomadze, Vakhtang
8 Mboup, Mamadou
8 Nijmeijer, Henk
8 Paykan, Kamal
8 Richard, Jean-Pierre
8 Sklyar, Grigory Mikhailovitch
8 Suarez-Castañon, Miguel Santiago
7 Beltran-Carbajal, Francisco
7 Duchamp, Gerard Henry Edmond
7 Hagenmeyer, Veit
7 Lamnabhi-Lagarrigue, Françoise
7 Luviano-Juárez, Alberto
7 Meurer, Thomas
7 Millerioux, Gilles
7 Moog, Claude H.
7 Nicolau, Florentina
7 Quadrat, Alban
7 Schöberl, Markus
6 Aguilar-Ibáñez, Carlos Fernando
6 Aschemann, Harald
6 Balle, Borja
6 Bartosiewicz, Zbigniew
6 Colombo, Fabrizio
6 Delaleau, Emmanuel
6 Floquet, Thierry
6 Hoang Ngoc Minh, Vincel
6 Jiang, Zhong-Ping
6 Marinescu, Bogdan
6 Oberst, Ulrich
6 Rauh, Andreas
6 Sabadini, Irene
6 Silva-Navarro, Gerardo
6 Zeitz, Michael J.
5 Crouch, Peter E.
5 Djennoune, Said
5 Isidori, Alberto
5 Kolar, Bernd
5 Kugi, Andreas
5 Ollivier, François
5 Pereira da Silva, Paulo Sérgio
5 Petreczky, Mihály
5 Plestan, Franck
5 Sakarovitch, Jacques
5 Tian, Yang
5 Ushirobira, Rosane
5 Verdière, Nathalie
5 Vinnikov, Victor L.
4 Aguilar-Orduna, Mario Andres
4 Besançon, Gildas
4 Bettayeb, Maamar
4 Bhatti, Aamer Iqbal
4 Efimov, Denis V.
4 Gastin, Paul
4 Glumineau, Alain
4 Helton, John William
4 Hespel, Christiane
4 Ibn Taarit, Kaouther
4 Kaldmäe, Arvo
4 Levant, Arie
4 Liu, Haoran
4 Melchior, Pierre
4 Mullari, Tanel
4 Oustaloup, Alain
4 Polyakov, Andrey
4 Riachy, Samer
4 Rigatos, Gerasimos G.
4 Röbenack, Klaus
4 Robertz, Daniel
4 Rouff, Marc
4 Seifried, Robert
...and 1,439 more Authors
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Cited in 204 Serials

116 International Journal of Control
116 Automatica
106 Systems & Control Letters
41 International Journal of Robust and Nonlinear Control
27 Theoretical Computer Science
25 Journal of the Franklin Institute
22 Asian Journal of Control
20 MCSS. Mathematics of Control, Signals, and Systems
19 Kybernetika
19 European Journal of Control
19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
15 International Journal of Systems Science
15 Linear Algebra and its Applications
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 Journal of Symbolic Computation
11 Multibody System Dynamics
9 Journal of Algebra
9 SIAM Journal on Control and Optimization
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Discrete Mathematics
8 International Journal of Adaptive Control and Signal Processing
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 Communications in Nonlinear Science and Numerical Simulation
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 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
6 Nonlinear Analysis. Hybrid Systems
5 Applied Mathematics and Computation
5 Journal of Computer and System Sciences
5 Applied Mathematics Letters
5 Multidimensional Systems and Signal Processing
5 Nonlinear Analysis. Theory, Methods & Applications
4 Information Processing Letters
4 Bulletin de la Société Mathématique de France
4 Journal of Functional Analysis
4 Journal of Pure and Applied Algebra
4 RAIRO, Informatique Théorique
4 Optimal Control Applications & Methods
4 Numerical Algorithms
4 Journal of Mathematical Sciences (New York)
4 Journal of Systems Science and Complexity
3 Computer Methods in Applied Mechanics and Engineering
3 Israel Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 Chaos, Solitons and Fractals
3 Information Sciences
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 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 Foundations of Computational Mathematics
3 Mathematical Biosciences and Engineering
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 Advances in Applied Mathematics
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. Informatique Théorique et Applications
2 Journal of Computer and Systems Sciences International
2 Computational and Applied Mathematics
2 Advances in Applied Clifford Algebras
2 Selecta Mathematica. New Series
2 Abstract and Applied Analysis
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 Proceedings of the Estonian Academy of Sciences
2 Journal of Geometric Mechanics
...and 104 more Serials
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Cited in 55 Fields

859 Systems theory; control (93-XX)
112 Computer science (68-XX)
77 Ordinary differential equations (34-XX)
73 Mechanics of particles and systems (70-XX)
58 Associative rings and algebras (16-XX)
49 Calculus of variations and optimal control; optimization (49-XX)
44 Numerical analysis (65-XX)
37 Dynamical systems and ergodic theory (37-XX)
33 Biology and other natural sciences (92-XX)
32 Partial differential equations (35-XX)
31 Commutative algebra (13-XX)
31 Operator theory (47-XX)
30 Information and communication theory, circuits (94-XX)
24 Probability theory and stochastic processes (60-XX)
24 Operations research, mathematical programming (90-XX)
23 Field theory and polynomials (12-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
18 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 Mechanics of deformable solids (74-XX)
13 Statistics (62-XX)
12 Functional analysis (46-XX)
11 Group theory and generalizations (20-XX)
10 Algebraic geometry (14-XX)
10 Functions of a complex variable (30-XX)
10 Integral transforms, operational calculus (44-XX)
10 Manifolds and cell complexes (57-XX)
9 Mathematical logic and foundations (03-XX)
9 Approximations and expansions (41-XX)
8 Optics, electromagnetic theory (78-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Topological groups, Lie groups (22-XX)
7 Special functions (33-XX)
6 Category theory; homological algebra (18-XX)
6 Integral equations (45-XX)
6 Differential geometry (53-XX)
6 Quantum theory (81-XX)
5 Difference and functional equations (39-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Fluid mechanics (76-XX)
3 Abstract harmonic analysis (43-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)
1 Geophysics (86-XX)

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