Compute Distance To:
 Documents Indexed: 42 Publications since 1972, including 2 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 32 Co-Authors with 34 Joint Publications 1,015 Co-Co-Authors
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### Co-Authors

 9 single-authored 11 Cohen, Guy 8 Gaubert, Stéphane 8 Viot, Michel 7 Delebecque, Francois 4 Goursat, Maurice 3 Akian, Marianne 3 Gomez, Claude 3 Kokotovic, Petar V. 3 Mancinelli, Elina M. 3 Sulem, Agnès 2 Farhi, Nadir 2 Lotito, Pablo A. 2 Rofman, Edmundo 1 Akian, Mo 1 Baccelli, François Louis 1 Bensoussan, Alain 1 Blankenship, Gilmer L. 1 Chancelier, Jean-Philippe 1 Chancelier, P. 1 Dubois, Didier 1 Fall, Oumar 1 Hiriart-Urruty, Jean-Baptiste 1 Katz, Ricardo David 1 Kernevez, Jean-Pierre 1 La Vigna, Anthony 1 Lasserre, Jean-Bernard 1 MacEnany, D. C. 1 McGettrick, Michael 1 Menaldi, Jose-Luis 1 Muron, O. 1 Nikoukhah, Ramine 1 Olsder, Geert Jan 1 Plus, Max 1 Singer, Ivan 1 Theosys 1 Yan, I. 1 Yiot, M.
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### Serials

 4 IEEE Transactions on Automatic Control 2 Linear Algebra and its Applications 1 American Mathematical Monthly 1 International Journal of Control 1 Annales des Sciences Mathématiques du Québec 1 Automatica 1 Mathematicae Notae 1 RAIRO, Automatique, Systems Analysis and Control 1 SIAM Journal on Control and Optimization 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Comptes Rendus de l’Académie des Sciences. Série II 1 Markov Processes and Related Fields 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Cuadernos del Instituto de Matematica “Beppo Levi” 1 Lecture Notes in Control and Information Sciences 1 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
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### Fields

 26 Systems theory; control (93-XX) 21 Operations research, mathematical programming (90-XX) 15 Probability theory and stochastic processes (60-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 11 Computer science (68-XX) 5 Numerical analysis (65-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

30 Publications have been cited 556 times in 437 Documents Cited by Year
Synchronization and linearity. An algebra for discrete event systems. Zbl 0824.93003
Baccelli, François Louis; Olsder, Geert Jan; Quadrat, Jean-Pierre; Cohen, Guy
1992
A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing. Zbl 0557.93005
Cohen, Guy; Dubois, Didier; Quadrat, Jean Pierre; Viot, Michel
1985
Duality and separation theorems in idempotent semimodules. Zbl 1042.46004
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
2004
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
2005
Optimal control of Markov chains admitting strong and weak interactions. Zbl 0467.49020
1981
Bellman processes. Zbl 0826.49021
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
1994
L’algèbre $$(\max,+)$$ et sa symétrisation ou l’algèbre des équilibres. (The $$(\max,+)$$ algebra and its symmetrization or the algebra of balances). Zbl 0699.90094
Plus, Max
1990
Hahn-Banach separation theorem for max-plus semimodules. Zbl 1054.46500
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
2001
Algebraic system analysis of timed Petri nets. Zbl 0897.68069
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
1998
Contribution of stochastic control singular perturbation averaging and team theories to an example of large-scale systems: Management of hydropower production. Zbl 0379.93055
1978
Duality between probability and optimization. Zbl 0906.60031
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
1998
Min-Plus linearity and statistical mechanics. Zbl 0905.90174
Quadrat, J. P.; Akian, M.; Cohen, G.; Gaubert, S.; McGettrick, M.; Viot, M.
1997
Existence de solution et algorithme de résolution numérique, de problème de contrôle optimal de diffusion stochastique dégénérée ou non. Zbl 0439.93057
1980
Timed-event graphs with multipliers and homogeneous min-plus systems. Zbl 0957.93056
Cohen, G.; Gaubert, S.; Quadrat, J. P.
1998
Max-plus algebra and applications to system theory and optimal control. Zbl 0845.93004
1995
Traffic assignment and Gibbs-Maslov semirings. Zbl 1176.90107
Lotito, P.; Quadrat, J.-P.; Mancinelli, E.
2005
Théorèmes asymptotiques en programmation dynamique. (Asymptotic theorems in dynamic programming). Zbl 0711.90082
1990
Pythagoras’ theorem for areas. Zbl 0990.51007
Quadrat, Jean-P.; Lasserre, Jean B.; Hiriart-Urruty, Jean-B.
2001
Aggregability of dynamic systems and lumpability of Markov chains. Zbl 0516.93004
Delebecque, F.; Quadrat, J. P.; Kokotovic, P. V.
1981
A unified view of aggregation and coherency in networks and Markov chains. Zbl 0567.93003
Delebecque, F.; Quadrat, J. P.; Kokotovic, P. V.
1984
Singular perturbation of Markov chains. Zbl 0617.60066
Delebecque, F.; Muron, O.; Quadrat, J. P.
1987
Optimal control of perturbed Markov chains. Zbl 0618.93076
1987
A MACSYMA/expert system for nonlinear filtering. Zbl 0648.93060
Blankenship, G. L.; LaVigna, A.; MacEnany, D. C.; Quadrat, J. P.; Yan, I.
1988
Automatic study in stochastic control. Zbl 0648.93070
Chancelier, J. P.; Gomez, C.; Quadrat, J. P.; Sulem, A.
1988
Méthodes de simulation en programmation dynamique stochastique. Zbl 0262.90050
1973
Approximation numérique des problèmes de programmation dynamique stochastique. Zbl 0242.90037
1972
A min-plus derivation of the fundamental car-traffic law. Zbl 1365.93298
Lotito, Pablo A.; Mancinelli, Elina M.; Quadrat, Jean-Pierre
2005
Optimal control of perturbed Markov chains: the multitime scale case. Zbl 0526.90091
1983
Road traffic models using Petri nets and minplus algebra. Zbl 1161.90332
2009
Contrôle optimal de diffusion stochastique. Zbl 0355.93040
1977
Road traffic models using Petri nets and minplus algebra. Zbl 1161.90332
2009
Max-plus convex sets and functions. Zbl 1093.26005
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre; Singer, Ivan
2005
Traffic assignment and Gibbs-Maslov semirings. Zbl 1176.90107
Lotito, P.; Quadrat, J.-P.; Mancinelli, E.
2005
A min-plus derivation of the fundamental car-traffic law. Zbl 1365.93298
Lotito, Pablo A.; Mancinelli, Elina M.; Quadrat, Jean-Pierre
2005
Duality and separation theorems in idempotent semimodules. Zbl 1042.46004
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
2004
Hahn-Banach separation theorem for max-plus semimodules. Zbl 1054.46500
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
2001
Pythagoras’ theorem for areas. Zbl 0990.51007
Quadrat, Jean-P.; Lasserre, Jean B.; Hiriart-Urruty, Jean-B.
2001
Algebraic system analysis of timed Petri nets. Zbl 0897.68069
Cohen, Guy; Gaubert, Stéphane; Quadrat, Jean-Pierre
1998
Duality between probability and optimization. Zbl 0906.60031
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
1998
Timed-event graphs with multipliers and homogeneous min-plus systems. Zbl 0957.93056
Cohen, G.; Gaubert, S.; Quadrat, J. P.
1998
Min-Plus linearity and statistical mechanics. Zbl 0905.90174
Quadrat, J. P.; Akian, M.; Cohen, G.; Gaubert, S.; McGettrick, M.; Viot, M.
1997
Max-plus algebra and applications to system theory and optimal control. Zbl 0845.93004
1995
Bellman processes. Zbl 0826.49021
Akian, Marianne; Quadrat, Jean-Pierre; Viot, Michel
1994
Synchronization and linearity. An algebra for discrete event systems. Zbl 0824.93003
Baccelli, François Louis; Olsder, Geert Jan; Quadrat, Jean-Pierre; Cohen, Guy
1992
L’algèbre $$(\max,+)$$ et sa symétrisation ou l’algèbre des équilibres. (The $$(\max,+)$$ algebra and its symmetrization or the algebra of balances). Zbl 0699.90094
Plus, Max
1990
Théorèmes asymptotiques en programmation dynamique. (Asymptotic theorems in dynamic programming). Zbl 0711.90082
1990
A MACSYMA/expert system for nonlinear filtering. Zbl 0648.93060
Blankenship, G. L.; LaVigna, A.; MacEnany, D. C.; Quadrat, J. P.; Yan, I.
1988
Automatic study in stochastic control. Zbl 0648.93070
Chancelier, J. P.; Gomez, C.; Quadrat, J. P.; Sulem, A.
1988
Singular perturbation of Markov chains. Zbl 0617.60066
Delebecque, F.; Muron, O.; Quadrat, J. P.
1987
Optimal control of perturbed Markov chains. Zbl 0618.93076
1987
A linear-system-theoretic view of discrete-event processes and its use for performance evaluation in manufacturing. Zbl 0557.93005
Cohen, Guy; Dubois, Didier; Quadrat, Jean Pierre; Viot, Michel
1985
A unified view of aggregation and coherency in networks and Markov chains. Zbl 0567.93003
Delebecque, F.; Quadrat, J. P.; Kokotovic, P. V.
1984
Optimal control of perturbed Markov chains: the multitime scale case. Zbl 0526.90091
1983
Optimal control of Markov chains admitting strong and weak interactions. Zbl 0467.49020
1981
Aggregability of dynamic systems and lumpability of Markov chains. Zbl 0516.93004
Delebecque, F.; Quadrat, J. P.; Kokotovic, P. V.
1981
Existence de solution et algorithme de résolution numérique, de problème de contrôle optimal de diffusion stochastique dégénérée ou non. Zbl 0439.93057
1980
Contribution of stochastic control singular perturbation averaging and team theories to an example of large-scale systems: Management of hydropower production. Zbl 0379.93055
1978
Contrôle optimal de diffusion stochastique. Zbl 0355.93040
1977
Méthodes de simulation en programmation dynamique stochastique. Zbl 0262.90050
1973
Approximation numérique des problèmes de programmation dynamique stochastique. Zbl 0242.90037
1972
all top 5

### Cited by 532 Authors

 32 Gaubert, Stéphane 14 De Schutter, Bart 12 Niţică, Viorel 11 Sergeev, Sergeĭ Mikhaĭlovich 10 Butkovič, Peter 10 Hardouin, Laurent 9 Allamigeon, Xavier 9 van den Boom, Ton J. J. 8 Akian, Marianne 8 Boimond, Jean-Louis 8 Gavalec, Martin 8 Katz, Ricardo David 8 Singer, Ivan 7 Cottenceau, Bertrand 7 Declerck, Philippe 7 Krivulin, Nikolai K. 6 Johnson, Marianne 6 Joswig, Michael 6 Kambites, Mark 6 Mairesse, Jean 6 Maslov, Viktor Pavlovich 6 Merlet, Glenn 6 Tao, Yuegang 5 Duits, Remco 5 Lahaye, Sébastien 5 Quadrat, Jean-Pierre 5 Tan, Yijia 5 Yin, Gang George 5 Yoshida, Ruriko 5 Zhang, Qing 4 de la Puente, Maria Jesus 4 De Moor, Bart L. R. 4 Di Nola, Antonio 4 Izhakian, Zur 4 Kokotovic, Petar V. 4 Lin, Bo 4 Maia, Carlos Andrey 4 McEneaney, William “Mac” M. 4 Olsder, Geert Jan 4 Pap, Endre 4 Plavka, Ján 4 Raisch, Jörg 4 Shitov, Yaroslav Nikolaevich 4 Truffet, Laurent 4 Wagneur, Edouard 3 Amari, Said 3 Ayhan, Hayriye 3 Baccelli, François Louis 3 Badowski, Grazyna 3 Bekkers, Erik J. 3 Benchimol, Pascal 3 Bouillard, Anne 3 Gaujal, Bruno 3 Gunawardena, Jeremy 3 Guterman, Alexander Èmilevich 3 Heidergott, Bernd F. 3 Horvath, Charles D. 3 Kara, Redouane 3 Le Corronc, Euriell 3 Ledoux, James 3 Lhommeau, Mehdi 3 Litvinov, Grigory Lazarevich 3 Maragos, Petros 3 Peláez-Moreno, Carmen 3 Schneider, Hans 3 Thiele, Lothar 3 Valverde-Albacete, Francisco José 3 Wang, Cailu 2 Abate, Alessandro 2 Aberkane, Sofiane 2 Adzkiya, Dieky 2 Aminu, Abdulhadi 2 Amiraslani, Amirhossein 2 Bernhard, Pierre 2 Bielecki, Tomasz R. 2 Blondel, Vincent D. 2 Bouquard, Jean-Louis 2 Boyet, Marin 2 Braker, J. G. 2 Briec, Walter 2 Brucker, Peter J. 2 Castella, Dominique 2 Cechlárová, Katarína 2 Chen, Wende 2 Cheng, Yiping 2 Cimler, Richard 2 Cuninghame-Green, Ray A. 2 de Vries, Remco E. 2 Delebecque, Francois 2 Di Natale, Marco 2 Dower, Peter M. 2 Dudek, Wiesław Aleksander 2 El Karoui, Nicole 2 Farahani, Samira S. 2 Filar, Jerzy A. 2 Fleming, Wendell Helms 2 Gadducci, Fabio 2 Ghalandarzadeh, Shaban 2 Goto, Hiroyuki 2 Guezzi, Abdelhak ...and 432 more Authors
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### Cited in 151 Serials

 57 Linear Algebra and its Applications 43 Discrete Event Dynamic Systems 19 Kybernetika 18 Automatica 16 Fuzzy Sets and Systems 12 Discrete Applied Mathematics 9 European Journal of Operational Research 7 International Journal of Control 6 Mathematical Notes 6 Journal of Algebra 6 Transactions of the American Mathematical Society 6 Vestnik St. Petersburg University. Mathematics 5 Theoretical Computer Science 5 The Annals of Applied Probability 4 International Journal of Systems Science 4 Linear and Multilinear Algebra 4 Applied Mathematics and Optimization 4 Information Sciences 4 Journal of Optimization Theory and Applications 4 Systems & Control Letters 4 International Journal of Production Research 4 Discrete & Computational Geometry 4 Real-Time Systems 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Semigroup Forum 3 SIAM Journal on Discrete Mathematics 3 MCSS. Mathematics of Control, Signals, and Systems 3 Annals of Operations Research 3 International Journal of Algebra and Computation 3 Automation and Remote Control 3 Mathematical Methods of Operations Research 3 International Journal of Applied Mathematics and Computer Science 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Communications in Algebra 2 Journal of Mathematical Analysis and Applications 2 Stochastics 2 The Annals of Probability 2 Journal of Applied Probability 2 Topology and its Applications 2 Optimization 2 Journal of Symbolic Computation 2 Asia-Pacific Journal of Operational Research 2 Mathematical and Computer Modelling 2 Journal of Mathematical Imaging and Vision 2 Journal of Algebraic Combinatorics 2 Journal of Mathematical Sciences (New York) 2 Journal of Convex Analysis 2 European Journal of Control 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Soft Computing 2 Nonlinear Analysis. Theory, Methods & Applications 1 Advances in Applied Probability 1 American Mathematical Monthly 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Information Processing Letters 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Physica A 1 Physics Letters. A 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Beiträge zur Algebra und Geometrie 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Aplikace Matematiky 1 Calcolo 1 Journal of Combinatorial Theory. Series A 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal of Geometry 1 Journal of Multivariate Analysis 1 Journal of Pure and Applied Algebra 1 Mathematics and Computers in Simulation 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Networks 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Opsearch 1 Proceedings of the American Mathematical Society 1 RAIRO. Analyse Numérique 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Control and Optimization 1 Cybernetics and Systems 1 Operations Research Letters 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Order 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Stochastic Models and Data Analysis 1 Algorithmica 1 International Journal of Parallel Programming 1 Computers & Operations Research 1 COMPEL 1 Journal of the American Mathematical Society 1 SIAM Journal on Matrix Analysis and Applications ...and 51 more Serials
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### Cited in 44 Fields

 147 Linear and multilinear algebra; matrix theory (15-XX) 130 Systems theory; control (93-XX) 89 Operations research, mathematical programming (90-XX) 60 Computer science (68-XX) 47 Probability theory and stochastic processes (60-XX) 44 Associative rings and algebras (16-XX) 42 Algebraic geometry (14-XX) 41 Convex and discrete geometry (52-XX) 38 Numerical analysis (65-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 21 Combinatorics (05-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Operator theory (47-XX) 14 Partial differential equations (35-XX) 14 Information and communication theory, circuits (94-XX) 12 Field theory and polynomials (12-XX) 12 Functional analysis (46-XX) 12 Biology and other natural sciences (92-XX) 11 Mathematical logic and foundations (03-XX) 10 Real functions (26-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Measure and integration (28-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Group theory and generalizations (20-XX) 7 Ordinary differential equations (34-XX) 6 General algebraic systems (08-XX) 6 General topology (54-XX) 6 Statistics (62-XX) 4 Category theory; homological algebra (18-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Differential geometry (53-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)