26 citations · 66 across the 6 of their papers we have counts for
8 papers
A Lagrangian approach for aggregative mean field games of controls with mixed and final constraints
Joseph Frédéric Bonnans, Justina Gianatti, Laurent Pfeiffer
The objective of this paper is to analyze the existence of equilibria for a class of deterministic mean field games of controls. The interaction between players is due to both a co…
Discrete-time mean field games with risk averse-agents
J. Frédéric Bonnans, Pierre Lavigne, Laurent Pfeiffer
We propose and investigate a discrete-time mean field game model involving risk-averse agents. The model under study is a coupled system of dynamic programming equations with a Kol…
State constrained control-affine parabolic problems II: Second order sufficient optimality conditions
M. Soledad Aronna, J. -Frédéric Bonnans, Axel Kröner
In this paper we consider an optimal control problem governed by a semilinear heat equation with bilinear control-state terms and subject to control and state constraints. The stat…
State-constrained control-affine parabolic problems I: first and second order necessary optimality conditions
M. Soledad Aronna, J. Frédéric Bonnans, Axel Kröner
In this paper we consider an optimal control problem governed by a semilinear heat equation with bilinear control-state terms and subject to control and state constraints. The stat…
Optimal control of PDEs in a complex space setting; application to the Schrödinger equation
M. Soledad Aronna, Frédéric Bonnans, Axel Kröner
In this paper we discuss optimality conditions for abstract optimization problems over complex spaces. We then apply these results to optimal control problems with a semigroup stru…
Optimal control of infinite dimensional bilinear systems: Application to the heat and wave equations
M. Soledad Aronna, Frédéric Bonnans, Axel Kröner
In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linea…
Second order analysis of control-affine problems with scalar state constraint
M. Soledad Aronna, Frédéric Bonnans, Bean San Goh
In this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constra…
First and second order optimality conditions for optimal control problems of state constrained integral equations
J. Frédéric Bonnans, Constanza De La Vega, Xavier Dupuis
This paper deals with optimal control problems of integral equations, with initial-final and running state constraints. The order of a running state constraint is defined in the se…