J. Frédéric Bonnans

Orcid: 0000-0003-0988-9865

Affiliations:
  • École Polytechnique, Paris, France


According to our database1, J. Frédéric Bonnans authored at least 62 papers between 1995 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Large-Scale Nonconvex Optimization: Randomization, Gap Estimation, and Numerical Resolution.
SIAM J. Optim., December, 2023

Discrete potential mean field games: duality and numerical resolution.
Math. Program., November, 2023

A Lagrangian Approach for Aggregative Mean Field Games of Controls with Mixed and Final Constraints.
SIAM J. Control. Optim., February, 2023

Modeling and Optimal Control of a Two-Species Bioproducing Microbial Consortium.
SIAM J. Appl. Math., February, 2023

2022
A Bilevel Energy Management Strategy for HEVs Under Probabilistic Traffic Conditions.
IEEE Trans. Control. Syst. Technol., 2022

Error estimates of a theta-scheme for second-order mean field games.
CoRR, 2022

2021
Erratum: Optimal Control of State Constrained Age-Structured Problems.
SIAM J. Control. Optim., 2021

State Constrained Control-Affine Parabolic Problems II: Second Order Sufficient Optimality Conditions.
SIAM J. Control. Optim., 2021

Beyond the chemical master equation: Stochastic chemical kinetics coupled with auxiliary processes.
PLoS Comput. Biol., 2021

Second order monotone finite differences discretization of linear anisotropic differential operators.
Math. Comput., 2021

2020
A Stochastic Data-Based Traffic Model Applied to Vehicles Energy Consumption Estimation.
IEEE Trans. Intell. Transp. Syst., 2020

Optimal Control of State Constrained Age-Structured Problems.
SIAM J. Control. Optim., 2020

MIDAS: A mixed integer dynamic approximation scheme.
Math. Program., 2020

2019
Optimal Control of PDEs in a Complex Space Setting: Application to the Schrödinger Equation.
SIAM J. Control. Optim., 2019

Optimal control of an artificial microbial differentiation system for protein bioproduction.
Proceedings of the 17th European Control Conference, 2019

Monotone and Second Order Consistent Scheme for the Two Dimensional Pucci Equation.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018
Variational Analysis for Options with Stochastic Volatility and Multiple Factors.
SIAM J. Financial Math., 2018

Correction to: Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations.
Math. Program., 2018

Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations.
Math. Program., 2018

2017
Error Estimates for the Euler Discretization of an Optimal Control Problem with First-Order State Constraints.
SIAM J. Numer. Anal., 2017

2016
Second order analysis of control-affine problems with scalar state constraint.
Math. Program., 2016

A stochastic continuous time model for microgrid energy management.
Proceedings of the 15th European Control Conference, 2016

2014
Second-Order Necessary Conditions in Pontryagin Form for Optimal Control Problems.
SIAM J. Control. Optim., 2014

Optimization of Running Strategies Based on Anaerobic Energy and Variations of Velocity.
SIAM J. Appl. Math., 2014

Optimal control of a semilinear parabolic equation with singular arcs.
Optim. Methods Softw., 2014

2013
First- and Second-Order Optimality Conditions for Optimal Control Problems of State Constrained Integral Equations.
J. Optim. Theory Appl., 2013

A Shooting Algorithm for Optimal Control Problems with Singular Arcs.
J. Optim. Theory Appl., 2013

Singular arcs in the optimal control of a parabolic equation.
Proceedings of the 12th European Control Conference, 2013

The Shooting Approach to Optimal Control Problems.
Proceedings of the 11th IFAC International Workshop on Adaptation and Learning in Control and Signal Processing, 2013

2012
Error estimates for the logarithmic barrier method in linear quadratic stochastic optimal control problems.
Syst. Control. Lett., 2012

Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems.
Math. Program., 2012

Energy contracts management by stochastic programming techniques.
Ann. Oper. Res., 2012

2011
Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties.
SIAM J. Control. Optim., 2011

Application of convex lexicographical optimization to the balance of GRTgaz gas grid.
J. Glob. Optim., 2011

Conditions quadratiques pour des extrémales bang-singulières
CoRR, 2011

A stochastic dynamic principle for hybrid systems with execution delay and decision lags.
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2010
Optimal Control of a Parabolic Equation with Time-Dependent State Constraints.
SIAM J. Control. Optim., 2010

Explicit polyhedral approximation of the Euclidean ball.
RAIRO Oper. Res., 2010

2009
No-gap second-order optimality conditions for optimal control problems with a single state constraint and control.
Math. Program., 2009

Optimization of capacity expansion planning for gas transportation networks.
Eur. J. Oper. Res., 2009

2008
Fast computation of the leastcore and prenucleolus of cooperative games.
RAIRO Oper. Res., 2008

2007
Well-Posedness of the Shooting Algorithm for State Constrained Optimal Control Problems with a Single Constraint and Control.
SIAM J. Control. Optim., 2007

2006
Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control.
Numerische Mathematik, 2006

2005
Perturbation analysis of second-order cone programming problems.
Math. Program., 2005

2003
Consistency of Generalized Finite Difference Schemes for the Stochastic HJB Equation.
SIAM J. Numer. Anal., 2003

2000
Asymptotic Analysis of Congested Communication Networks.
Math. Oper. Res., 2000

Mathematical Study of Very High Voltage Power Networks III: The Optimal AC Power Flow Problem.
Comput. Optim. Appl., 2000

Perturbation Analysis of Optimization Problems
Springer Series in Operations Research, Springer, ISBN: 978-1-4612-1394-9, 2000

1999
Second Order Optimality Conditions Based on Parabolic Second Order Tangent Sets.
SIAM J. Optim., 1999

1998
Optimization Problems with Perturbations: A Guided Tour.
SIAM Rev., 1998

Nondegeneracy and Quantitative Stability of Parameterized Optimization Problems with Multiple Solutions.
SIAM J. Optim., 1998

Mathematical Study of Very High Voltage Power Networks II: The AC Power Flow Problem.
SIAM J. Appl. Math., 1998

Sensitivity Analysis of Optimization Problems Under Second Order Regular Constraints.
Math. Oper. Res., 1998

1997
A Trust Region Interior Point Algorithm for Linearly Constrained Optimization.
SIAM J. Optim., 1997

Mathematical Study of Very High Voltage Power Networks I: The Optimal DC Power Flow Problem.
SIAM J. Optim., 1997

On the Convergence of the Iteration Sequence of Infeasible Path Following Algorithms for Linear Complementarity Problems.
Math. Oper. Res., 1997

1996
Fast convergence of the simplified largest step path following algorithm.
Math. Program., 1996

Convergence of Interior Point Algorithms for the Monotone Linear Complementarity Problem.
Math. Oper. Res., 1996

1995
Sequential Quadratic Programming with Penalization of the Displacement.
SIAM J. Optim., 1995

Pseudopower expansion of solutions of generalized equations and constrained optimization problems.
Math. Program., 1995

A family of variable metric proximal methods.
Math. Program., 1995

Second-order Sufficiency and Quadratic Growth for Nonisolated Minima.
Math. Oper. Res., 1995


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