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Saint-Pierre, Patrick

Author ID: saint-pierre.patrick Recent zbMATH articles by "Saint-Pierre, Patrick"
Published as: Saint-Pierre, Patrick; Saint-Pierre, P.
Documents Indexed: 44 Publications since 1972, including 2 Books
Reviewing Activity: 16 Reviews
Co-Authors: 15 Co-Authors with 29 Joint Publications
562 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 410 times in 250 Documents Cited by Year
Viability theory. New directions. 2nd ed. Zbl 1238.93001
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
60
2011
Approximation of the viability kernel. Zbl 0790.65081
Saint-Pierre, Patrick
59
1994
Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
57
1999
Pursuit differential games with state constraints. Zbl 1140.91320
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
33
2001
Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002
Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P.
26
1997
An algorithm for viability kernels in Hölderian case: Approximation by discrete dynamical systems. Zbl 0831.34016
Quincampoix, Marc; Saint-Pierre, Patrick
16
1995
Differential games through viability theory: old and recent results. Zbl 1152.91360
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
16
2007
Some algorithms for differential games with two players and one target. Zbl 0821.90145
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
14
1994
The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005
Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre
14
2013
Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
13
2000
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
12
2008
Scale of viability and minimal time of crisis. Zbl 0899.49003
Doyen, L.; Saint-Pierre, P.
9
1997
Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. Zbl 1221.49055
Bayen, Alexandre M.; Claudel, Christian; Saint-Pierre, Patrick
8
2007
Slow and quasi-slow solutions of differential inclusions. Zbl 0628.34013
Falcone, M.; Saint-Pierre, Patrick
8
1987
Beyond optimality: Managing children, assets, and consumption over the life cycle. Zbl 1133.91344
Bonneuil, Noël; Saint-Pierre, Patrick
8
2008
Population viability in three trophic-level food chains. Zbl 1074.92034
Bonneuil, Noël; Saint-Pierre, Patrick
7
2005
Protected polymorphism in the two-locus haploid model with unpredictable fitnesses. Zbl 0997.92032
Bonneuil, Noël; Saint-Pierre, Patrick
6
2000
Viable capture basin for studying differential and hybrid games: application to finance. Zbl 1102.91018
Saint-Pierre, Patrick
6
2004
Hybrid kernels and capture basins for impulse constrained systems. Zbl 1050.93041
Saint-Pierre, Patrick
6
2002
Optimal times for constrained controlled systems without local controllability. (Temps optimaux pour des problèmes de contrôle avec contraintes et sans contrôlabilité locale.) Zbl 0799.49017
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
5
1994
Approximation of slow solutions to differential inclusions. Zbl 0718.49020
Saint-Pierre, Patrick
4
1990
Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355
Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick
4
2005
Pursuit-evasion games with impulsive dynamics. Zbl 1152.91365
Crück, Eva; Quincampoix, Marc; Saint-Pierre, Patrick
4
2007
Differential games with state-constraints. Zbl 1057.91009
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
3
2002
Qualitative and quantitative differential games with state constraints. (Contribution à l’étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l’état.) Zbl 0842.90138
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
3
1995
Viability of boundary of the viability kernel. Zbl 0732.34014
Saint-Pierre, Patrick
2
1991
Nonlinear impulse target problems under state constraint: a numerical analysis based on viability theory. Zbl 1061.49024
Crück, Eva; Saint-Pierre, Patrick
2
2004
Equilibria and stability in set-valued analysis: A viability approach. Zbl 0921.47042
Saint-Pierre, Patrick
1
1996
Fluctuation between subsets of evolutions governed by chaotic systems. Zbl 1167.37340
Saint-Pierre, Patrick; Aubin, Jean-Pierre
1
2004
An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044
Grüne, Lars; Saint-Pierre, Patrick
1
2006
Newton and other continuation methods for multivalued inclusions. Zbl 0846.49016
Saint-Pierre, Patrick
1
1995
Viability kernels and capture basins for analyzing the dynamic behavior: Lorenz attractors, Julia sets, and Hutchinson’s maps. Zbl 1159.37017
Aubin, Jean-Pierre; Saint-Pierre, Patrick
1
2008
The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005
Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre
14
2013
Viability theory. New directions. 2nd ed. Zbl 1238.93001
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
60
2011
Dirichlet problems for some Hamilton-Jacobi equations with inequality constraints. Zbl 1171.49005
Aubin, Jean-Pierre; Bayen, Alexandre M.; Saint-Pierre, Patrick
12
2008
Beyond optimality: Managing children, assets, and consumption over the life cycle. Zbl 1133.91344
Bonneuil, Noël; Saint-Pierre, Patrick
8
2008
Viability kernels and capture basins for analyzing the dynamic behavior: Lorenz attractors, Julia sets, and Hutchinson’s maps. Zbl 1159.37017
Aubin, Jean-Pierre; Saint-Pierre, Patrick
1
2008
Differential games through viability theory: old and recent results. Zbl 1152.91360
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
16
2007
Viability-based computations of solutions to the Hamilton-Jacobi-Bellman equation. Zbl 1221.49055
Bayen, Alexandre M.; Claudel, Christian; Saint-Pierre, Patrick
8
2007
Pursuit-evasion games with impulsive dynamics. Zbl 1152.91365
Crück, Eva; Quincampoix, Marc; Saint-Pierre, Patrick
4
2007
An invariance kernel representation of ISDS Lyapunov functions. Zbl 1100.93044
Grüne, Lars; Saint-Pierre, Patrick
1
2006
Population viability in three trophic-level food chains. Zbl 1074.92034
Bonneuil, Noël; Saint-Pierre, Patrick
7
2005
Dynamic management of portfolios with transaction costs under tychastic uncertainty. Zbl 1126.91355
Aubin, Jean-Pierre; Pujal, Dominique; Saint-Pierre, Patrick
4
2005
Viable capture basin for studying differential and hybrid games: application to finance. Zbl 1102.91018
Saint-Pierre, Patrick
6
2004
Nonlinear impulse target problems under state constraint: a numerical analysis based on viability theory. Zbl 1061.49024
Crück, Eva; Saint-Pierre, Patrick
2
2004
Fluctuation between subsets of evolutions governed by chaotic systems. Zbl 1167.37340
Saint-Pierre, Patrick; Aubin, Jean-Pierre
1
2004
Hybrid kernels and capture basins for impulse constrained systems. Zbl 1050.93041
Saint-Pierre, Patrick
6
2002
Differential games with state-constraints. Zbl 1057.91009
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
3
2002
Pursuit differential games with state constraints. Zbl 1140.91320
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
33
2001
Numerical schemes for dicontinuous value functions of optimal control. Zbl 0988.49016
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
13
2000
Protected polymorphism in the two-locus haploid model with unpredictable fitnesses. Zbl 0997.92032
Bonneuil, Noël; Saint-Pierre, Patrick
6
2000
Set-valued numerical analysis for optimal control and differential games. Zbl 0982.91014
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
57
1999
Optimal times for constrained nonlinear control problems without local controllability. Zbl 0884.49002
Cardaliaguet, P.; Quincampoix, M.; Saint-Pierre, P.
26
1997
Scale of viability and minimal time of crisis. Zbl 0899.49003
Doyen, L.; Saint-Pierre, P.
9
1997
Equilibria and stability in set-valued analysis: A viability approach. Zbl 0921.47042
Saint-Pierre, Patrick
1
1996
An algorithm for viability kernels in Hölderian case: Approximation by discrete dynamical systems. Zbl 0831.34016
Quincampoix, Marc; Saint-Pierre, Patrick
16
1995
Qualitative and quantitative differential games with state constraints. (Contribution à l’étude des jeux différentiels quantitatifs et qualitatifs avec contrainte sur l’état.) Zbl 0842.90138
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
3
1995
Newton and other continuation methods for multivalued inclusions. Zbl 0846.49016
Saint-Pierre, Patrick
1
1995
Approximation of the viability kernel. Zbl 0790.65081
Saint-Pierre, Patrick
59
1994
Some algorithms for differential games with two players and one target. Zbl 0821.90145
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
14
1994
Optimal times for constrained controlled systems without local controllability. (Temps optimaux pour des problèmes de contrôle avec contraintes et sans contrôlabilité locale.) Zbl 0799.49017
Cardaliaguet, Pierre; Quincampoix, Marc; Saint-Pierre, Patrick
5
1994
Viability of boundary of the viability kernel. Zbl 0732.34014
Saint-Pierre, Patrick
2
1991
Approximation of slow solutions to differential inclusions. Zbl 0718.49020
Saint-Pierre, Patrick
4
1990
Slow and quasi-slow solutions of differential inclusions. Zbl 0628.34013
Falcone, M.; Saint-Pierre, Patrick
8
1987
all top 5

Cited by 325 Authors

19 Quincampoix, Marc
15 Aubin, Jean-Pierre
12 Saint-Pierre, Patrick
11 Bonneuil, Noël
10 Smirnov, Sergeĭ Nikolaevich
10 Zidani, Hasnaa
9 Kumkov, Sergey S.
8 Patsko, Valerii S.
7 Bokanowski, Olivier
7 de Lara, Michel
6 Cardaliaguet, Pierre
6 Gao, Yan
5 Frankowska, Hélène
5 Hermosilla, Cristopher
5 Krawczyk, Jacek Bogdan
5 Serea, Oana-Silvia
5 Turova, Varvara L.
4 Doyen, Luc
4 Gajardo, Pedro
4 Lorenz, Thomas
4 Mitchell, Ian M.
3 Averboukh, Yuriĭ Vladimirovich
3 Bagagiolo, Fabio
3 Bayen, Térence
3 Bettiol, Piernicola
3 Botkin, Nikolai D.
3 Buckdahn, Rainer
3 Claudel, Christian G.
3 Falcone, Maurizio
3 Jaulin, Luc
3 Kamneva, Liudmila
3 Le Ménec, Stéphane
3 Lv, Jianfeng
3 Lygeros, John
3 Munts, Nataly V.
3 Rapaport, Alain
3 Seube, Nicolas
3 Turetsky, Vladimir
3 Ushakov, Vladimir Nikolaevich
2 Baier, Robert
2 Bernhard, Pierre
2 Brogliato, Bernard
2 Chatterjee, Debasish
2 Chen, Luxi
2 Collins, Peter J.
2 Coutin, Laure
2 Cruck, Eva
2 Désilles, Anya
2 Dumont, Guy A.
2 El Farouq, Naïma
2 Ferrara, Massimiliano
2 Friesz, Terry L.
2 Gomoyunov, Mikhail Igorevich
2 Han, Ke
2 Hardouin, Laurent
2 Ibragimov, Gafurjan I.
2 Kaynama, Shahab
2 Kornev, Dmitriĭ Vasil’evich
2 Lhommeau, Mehdi
2 Li, Yanning
2 Lou, Zhi-E
2 Maggistro, Rosario
2 Marie, Nicolas
2 Moon, Jun-Hee
2 Nour, Chadi
2 Pansera, Bruno Antonio
2 Picarelli, Athena
2 Rieger, Janosch
2 Salcedo, Lilian Sofia Sepulveda
2 Tanwani, Aneel
2 Vinter, Richard B.
2 Wu, Xiaochi
2 Zhao, Na
2 Zoppello, Marta
1 Agarwal, Ravi P.
1 Ahmadizadeh, Saeed
1 Akinwumi, Titilayo O.
1 Alias, Idham Arif
1 Aliyari Shoorehdeli, Mahdi
1 Alla, Alessandro
1 Alpay, Daniel Aron
1 Alvarez, Isabelle
1 Ancona, Fabio
1 Andreev, N. A.
1 Armstrong, Niles
1 Asarin, Eugene
1 Aseev, Sergei M.
1 Assellaou, Mohamed
1 Aubrecht, Johannes A. S.
1 Ayoola, Ezekiel O.
1 Badreddine, Zeinab
1 Baklanov, Artem Pavlovich
1 Balatif, Omar
1 Banavar, Ravi N.
1 Bardi, Martino
1 Barrios, Edwin
1 Barton, Paul I.
1 Bauso, Dario
1 Bekiaris-Liberis, Nikolaos
1 Bhaskar, Tenali Gnana
...and 225 more Authors
all top 5

Cited in 108 Serials

17 Dynamic Games and Applications
10 Journal of Mathematical Analysis and Applications
10 Automatica
9 Applied Mathematics and Optimization
9 Systems & Control Letters
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
7 SIAM Journal on Control and Optimization
5 Mathematical Biosciences
5 Journal of Optimization Theory and Applications
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 International Game Theory Review
4 Automation and Remote Control
4 Computational Management Science
3 Applied Mathematics and Computation
3 International Journal of Game Theory
3 Numerische Mathematik
3 Journal of Convex Analysis
3 Mathematical Population Studies
3 Discrete and Continuous Dynamical Systems. Series B
3 Advances in Difference Equations
3 Networks and Spatial Economics
3 Proceedings of the Steklov Institute of Mathematics
3 Set-Valued and Variational Analysis
3 Matematicheskaya Teoriya Igr i eë Prilozheniya
3 Games
2 International Journal of Control
2 Prikladnaya Matematika i Mekhanika
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Journal of Mathematical Economics
2 Theoretical Computer Science
2 Optimal Control Applications & Methods
2 Mathematical Social Sciences
2 Journal of Scientific Computing
2 Computational Mathematics and Modeling
2 Stochastic Processes and their Applications
2 Set-Valued Analysis
2 European Journal of Control
2 Nonlinear Analysis. Hybrid Systems
2 Mathematical Control and Related Fields
2 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Applied Mathematics and Mechanics
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Bulletin of Mathematical Biology
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Theory of Probability and its Applications
1 Journal of Approximation Theory
1 Kybernetika
1 Mathematics of Operations Research
1 Numerical Functional Analysis and Optimization
1 Theoretical Population Biology
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Stochastic Analysis and Applications
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Optimization
1 International Journal of Approximate Reasoning
1 Mathematical and Computer Modelling
1 Annals of Operations Research
1 International Journal of Adaptive Control and Signal Processing
1 MSCS. Mathematical Structures in Computer Science
1 European Journal of Operational Research
1 SIAM Journal on Applied Mathematics
1 SIAM Review
1 International Journal of Robust and Nonlinear Control
1 Calculus of Variations and Partial Differential Equations
1 NoDEA. Nonlinear Differential Equations and Applications
1 Bulletin des Sciences Mathématiques
1 Opuscula Mathematica
1 Annals of Mathematics and Artificial Intelligence
1 Izvestiya: Mathematics
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Optimization Methods & Software
1 Discrete Dynamics in Nature and Society
1 New Journal of Physics
1 Natural Resource Modeling
1 Macroeconomic Dynamics
1 CEJOR. Central European Journal of Operations Research
1 Journal of Dynamical and Control Systems
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Journal of Evolution Equations
1 Quantitative Finance
1 Journal of Systems Science and Complexity
1 Journal of Applied Mathematics and Computing
1 ACM Transactions on Computational Logic
1 Mathematical Biosciences and Engineering
1 Journal of Control Theory and Applications
1 Journal of Industrial and Management Optimization
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal of Biomathematics
1 Journal of Nonlinear Science and Applications
1 Asian Journal of Control
1 Analysis and Mathematical Physics
...and 8 more Serials

Citations by Year