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ORCIDJ. Frédéric Bonnans
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- affiliation: École Polytechnique, Paris, France
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Books and Theses
- 2000
[b1]J. Frédéric Bonnans, Alexander Shapiro:
Perturbation Analysis of Optimization Problems. Springer Series in Operations Research, Springer 2000, ISBN 978-1-4612-7129-1, pp. 1-601
Journal Articles
- 2023
- [j53]J. Frédéric Bonnans, Pierre Lavigne
, Laurent Pfeiffer:
Discrete potential mean field games: duality and numerical resolution. Math. Program. 202(1): 241-278 (2023) - [j52]Davin Lunz, J. Frédéric Bonnans:
Modeling and Optimal Control of a Two-Species Bioproducing Microbial Consortium. SIAM J. Appl. Math. 83(1): 144-171 (2023) - [j51]J. Frédéric Bonnans, Justina Gianatti, Laurent Pfeiffer:
A Lagrangian Approach for Aggregative Mean Field Games of Controls with Mixed and Final Constraints. SIAM J. Control. Optim. 61(1): 105-134 (2023) - [j50]J. Frédéric Bonnans, Kang Liu, Nadia Oudjane, Laurent Pfeiffer, Cheng Wan:
Large-Scale Nonconvex Optimization: Randomization, Gap Estimation, and Numerical Resolution. SIAM J. Optim. 33(4): 3083-3113 (2023) - 2022
- [j49]Arthur Le Rhun, J. Frédéric Bonnans, Giovanni De Nunzio, Thomas Leroy, Pierre Martinon:
A Bilevel Energy Management Strategy for HEVs Under Probabilistic Traffic Conditions. IEEE Trans. Control. Syst. Technol. 30(2): 728-739 (2022) - 2021
- [j48]J. Frédéric Bonnans, Guillaume Bonnet, Jean-Marie Mirebeau:
Second order monotone finite differences discretization of linear anisotropic differential operators. Math. Comput. 90(332): 2671-2703 (2021) - [j47]Davin Lunz, Grégory Batt, Jakob Ruess, J. Frédéric Bonnans:
Beyond the chemical master equation: Stochastic chemical kinetics coupled with auxiliary processes. PLoS Comput. Biol. 17(7) (2021) - [j46]Maria Soledad Aronna, J. Frédéric Bonnans, Axel Kröner:
State Constrained Control-Affine Parabolic Problems II: Second Order Sufficient Optimality Conditions. SIAM J. Control. Optim. 59(2): 1628-1655 (2021) - [j45]J. Frédéric Bonnans, Justina Gianatti:
Erratum: Optimal Control of State Constrained Age-Structured Problems. SIAM J. Control. Optim. 59(2): 1756 (2021) - 2020
- [j44]Andrew B. Philpott, F. Wahid, J. Frédéric Bonnans:
MIDAS: A mixed integer dynamic approximation scheme. Math. Program. 181(1): 19-50 (2020) - [j43]J. Frédéric Bonnans, Justina Gianatti:
Optimal Control of State Constrained Age-Structured Problems. SIAM J. Control. Optim. 58(4): 2206-2235 (2020) - [j42]Arthur Le Rhun, J. Frédéric Bonnans, Giovanni De Nunzio, Thomas Leroy, Pierre Martinon:
A Stochastic Data-Based Traffic Model Applied to Vehicles Energy Consumption Estimation. IEEE Trans. Intell. Transp. Syst. 21(7): 3025-3034 (2020) - 2019
- [j41]Maria Soledad Aronna, Joseph Frédéric Bonnans, Axel Kröner:
Optimal Control of PDEs in a Complex Space Setting: Application to the Schrödinger Equation. SIAM J. Control. Optim. 57(2): 1390-1412 (2019) - 2018
- [j40]Maria Soledad Aronna, J. Frédéric Bonnans, Axel Kröner:
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Math. Program. 168(1-2): 717-757 (2018) - [j39]Maria Soledad Aronna, J. Frédéric Bonnans, Axel Kröner:
Correction to: Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Math. Program. 170(2): 569-570 (2018) - [j38]J. Frédéric Bonnans, Axel Kröner:
Variational Analysis for Options with Stochastic Volatility and Multiple Factors. SIAM J. Financial Math. 9(2): 465-492 (2018) - 2017
- [j37]J. Frédéric Bonnans, Adriano Festa:
Error Estimates for the Euler Discretization of an Optimal Control Problem with First-Order State Constraints. SIAM J. Numer. Anal. 55(2): 445-471 (2017) - 2016
- [j36]Maria Soledad Aronna, J. Frédéric Bonnans, B. S. Goh:
Second order analysis of control-affine problems with scalar state constraint. Math. Program. 160(1-2): 115-147 (2016) - 2014
- [j35]J. Frédéric Bonnans:
Optimal control of a semilinear parabolic equation with singular arcs. Optim. Methods Softw. 29(5): 964-978 (2014) - [j34]Amandine Aftalion, J. Frédéric Bonnans:
Optimization of Running Strategies Based on Anaerobic Energy and Variations of Velocity. SIAM J. Appl. Math. 74(5): 1615-1636 (2014) - [j33]J. Frédéric Bonnans, Xavier Dupuis, Laurent Pfeiffer:
Second-Order Necessary Conditions in Pontryagin Form for Optimal Control Problems. SIAM J. Control. Optim. 52(6): 3887-3916 (2014) - 2013
- [j32]Maria Soledad Aronna, J. Frédéric Bonnans, Pierre Martinon:
A Shooting Algorithm for Optimal Control Problems with Singular Arcs. J. Optim. Theory Appl. 158(2): 419-459 (2013) - [j31]J. Frédéric Bonnans, Constanza De La Vega, Xavier Dupuis:
First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations. J. Optim. Theory Appl. 159(1): 1-40 (2013) - 2012
- [j30]J. Frédéric Bonnans, Zhihao Cen, Thibault Christel:
Energy contracts management by stochastic programming techniques. Ann. Oper. Res. 200(1): 199-222 (2012) - [j29]Felipe Alvarez, Jérôme Bolte, J. Frédéric Bonnans, Francisco J. Silva:
Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems. Math. Program. 135(1-2): 473-507 (2012) - [j28]J. Frédéric Bonnans, Francisco J. Silva:
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems. Syst. Control. Lett. 61(1): 143-147 (2012) - 2011
- [j27]Soizic Adam, J. Frédéric Bonnans, Ruben Paraisy, Sébastien Veyrat:
Application of convex lexicographical optimization to the balance of GRTgaz gas grid. J. Glob. Optim. 49(3): 415-423 (2011) - [j26]J. Frédéric Bonnans, Francisco J. Silva:
Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties. SIAM J. Control. Optim. 49(6): 2494-2517 (2011) - 2010
- [j25]J. Frédéric Bonnans, Marc Lebelle:
Explicit polyhedral approximation of the Euclidean ball. RAIRO Oper. Res. 44(1): 45-59 (2010) - [j24]J. Frédéric Bonnans, Pascal Jaisson:
Optimal Control of a Parabolic Equation with Time-Dependent State Constraints. SIAM J. Control. Optim. 48(7): 4550-4571 (2010) - 2009
- [j23]Jean André, J. Frédéric Bonnans, Laurent Cornibert:
Optimization of capacity expansion planning for gas transportation networks. Eur. J. Oper. Res. 197(3): 1019-1027 (2009) - [j22]J. Frédéric Bonnans, Audrey Hermant:
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control. Math. Program. 117(1-2): 21-50 (2009) - 2008
- [j21]J. Frédéric Bonnans, Matthieu André:
Fast computation of the leastcore and prenucleolus of cooperative games. RAIRO Oper. Res. 42(3): 299-314 (2008) - 2007
- [j20]J. Frédéric Bonnans, Audrey Hermant:
Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control. SIAM J. Control. Optim. 46(4): 1398-1430 (2007) - 2006
- [j19]J. Frédéric Bonnans, Julien Laurent-Varin:
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control. Numerische Mathematik 103(1): 1-10 (2006) - 2005
- [j18]J. Frédéric Bonnans, Héctor Ramírez Cabrera:
Perturbation analysis of second-order cone programming problems. Math. Program. 104(2-3): 205-227 (2005) - 2003
- [j17]J. Frédéric Bonnans, Housnaa Zidani:
Consistency of Generalized Finite Difference Schemes for the Stochastic HJB Equation. SIAM J. Numer. Anal. 41(3): 1008-1021 (2003) - 2000
- [j16]J. Frédéric Bonnans:
Mathematical Study of Very High Voltage Power Networks III: The Optimal AC Power Flow Problem. Comput. Optim. Appl. 16(1): 83-101 (2000) - [j15]J. Frédéric Bonnans, Mounir Haddou:
Asymptotic Analysis of Congested Communication Networks. Math. Oper. Res. 25(3): 409-426 (2000) - 1999
- [j14]J. Frédéric Bonnans, Roberto Cominetti, Alexander Shapiro:
Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets. SIAM J. Optim. 9(2): 466-492 (1999) - 1998
- [j13]J. Frédéric Bonnans, Roberto Cominetti, Alexander Shapiro:
Sensitivity Analysis of Optimization Problems Under Second Order Regular Constraints. Math. Oper. Res. 23(4): 806-831 (1998) - [j12]J. Frédéric Bonnans:
Mathematical Study of Very High Voltage Power Networks II: The AC Power Flow Problem. SIAM J. Appl. Math. 58(5): 1547-1567 (1998) - [j11]J. Frédéric Bonnans, Alexander Shapiro:
Nondegeneracy and Quantitative Stability of Parameterized Optimization Problems with Multiple Solutions. SIAM J. Optim. 8(4): 940-946 (1998) - [j10]J. Frédéric Bonnans, Alexander Shapiro:
Optimization Problems with Perturbations: A Guided Tour. SIAM Rev. 40(2): 228-264 (1998) - 1997
- [j9]J. Frédéric Bonnans, Florian A. Potra:
On the Convergence of the Iteration Sequence of Infeasible Path Following Algorithms for Linear Complementarity Problems. Math. Oper. Res. 22(2): 378-407 (1997) - [j8]J. Frédéric Bonnans, Cecilia Pola:
A Trust Region Interior Point Algorithm for Linearly Constrained Optimization. SIAM J. Optim. 7(3): 717-731 (1997) - [j7]J. Frédéric Bonnans:
Mathematical Study of Very High Voltage Power Networks I: The Optimal DC Power Flow Problem. SIAM J. Optim. 7(4): 979-990 (1997) - 1996
- [j6]J. Frédéric Bonnans, Clóvis C. Gonzaga:
Convergence of Interior Point Algorithms for the Monotone Linear Complementarity Problem. Math. Oper. Res. 21(1): 1-25 (1996) - [j5]Clóvis C. Gonzaga, J. Frédéric Bonnans:
Fast convergence of the simplified largest step path following algorithm. Math. Program. 76: 95-115 (1996) - 1995
- [j4]Joseph Frédéric Bonnans, Alexander D. Ioffe:
Second-order Sufficiency and Quadratic Growth for Nonisolated Minima. Math. Oper. Res. 20(4): 801-817 (1995) - [j3]J. Frédéric Bonnans, Jean Charles Gilbert, Claude Lemaréchal, Claudia A. Sagastizábal:
A family of variable metric proximal methods. Math. Program. 68: 15-47 (1995) - [j2]J. Frédéric Bonnans, Agnès Sulem:
Pseudopower expansion of solutions of generalized equations and constrained optimization problems. Math. Program. 70: 123-148 (1995) - [j1]J. Frédéric Bonnans, Geneviève Launay:
Sequential Quadratic Programming with Penalization of the Displacement. SIAM J. Optim. 5(4): 792-812 (1995)
Conference and Workshop Papers
- 2019
- [c6]Joseph Frédéric Bonnans, Guillaume Bonnet, Jean-Marie Mirebeau:
Monotone and Second Order Consistent Scheme for the Two Dimensional Pucci Equation. ENUMATH 2019: 733-742 - [c5]Élise Weill, Virgile Andréani, Chetan Aditya, Pierre Martinon, Jakob Ruess, Grégory Batt, J. Frédéric Bonnans:
Optimal control of an artificial microbial differentiation system for protein bioproduction. ECC 2019: 2663-2668 - 2016
- [c4]Benjamin Heymann, J. Frédéric Bonnans, Francisco J. Silva, Guillermo Jiménez:
A stochastic continuous time model for microgrid energy management. ECC 2016: 2084-2089 - 2013
- [c3]Joseph Frédéric Bonnans:
The Shooting Approach to Optimal Control Problems. ALCOSP 2013: 281-292 - [c2]J. Frédéric Bonnans:
Singular arcs in the optimal control of a parabolic equation. ECC 2013: 69-74 - 2011
- [c1]Kamal Aouchiche, J. Frédéric Bonnans, Giovanni Granato, Housnaa Zidani:
A stochastic dynamic principle for hybrid systems with execution delay and decision lags. CDC/ECC 2011: 6788-6793
Informal and Other Publications
- 2022
- [i2]J. Frédéric Bonnans, Kang Liu, Laurent Pfeiffer:
Error estimates of a theta-scheme for second-order mean field games. CoRR abs/2212.08128 (2022) - 2011
- [i1]Maria Soledad Aronna, J. Frédéric Bonnans, Andrei V. Dmitruk, Pablo A. Lotito:
Conditions quadratiques pour des extrémales bang-singulières. CoRR abs/1107.0161 (2011)
Coauthor Index
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