Add to ORKGAbstract. We prove continuity of certain cost functions arising from optimal control of affine control systems. We give sharp sufficient conditions for this con-tinuity. As an application, we prove a version of weak KAM theorem and consider the Aubry-Mather problems corresponding to these systems. 1
International audienceWe investigate the value function V : R+ × R n → R+ ∪ {+∞} of the infinite hor...
AbstractIn this paper we consider linear control systems on Rn with integral quadratic cost function...
In this paper we study optimal control problems characterized by two different kinds of decision ins...
We prove continuity of certain cost functions arising from optimal control of affine control systems...
We prove continuity of certain cost functions arising from optimal control of affine control systems...
An open problem concerning the convergence of the optimal cost for the cheap control problem without...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
Let $T>0$ fixed. We consider the optimal control problem for analytic affine systems~: $\ds{\dot{x}=...
We prove the continuity and the Hölder equivalence w.r.t. an Euclidean distance of the value functio...
24 pagesInternational audienceWe prove the continuity and the Hölder equivalence w.r.t.\ an Euclidea...
In this article we study optimal control problems for systems that are affine in one part of the con...
We prove that the value function associated with an affine optimal control problem with quadratic co...
We consider an optimal control problem with space constraints and we show some properties of the opt...
In a recent paper ([1]) given one-parameter families of linear-quadratic control problems (with side...
We investigate the value function V:R+×Rn→R+∪{+∞}of the infinite horizon problem in optimal control ...
International audienceWe investigate the value function V : R+ × R n → R+ ∪ {+∞} of the infinite hor...
AbstractIn this paper we consider linear control systems on Rn with integral quadratic cost function...
In this paper we study optimal control problems characterized by two different kinds of decision ins...
We prove continuity of certain cost functions arising from optimal control of affine control systems...
We prove continuity of certain cost functions arising from optimal control of affine control systems...
An open problem concerning the convergence of the optimal cost for the cheap control problem without...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
Let $T>0$ fixed. We consider the optimal control problem for analytic affine systems~: $\ds{\dot{x}=...
We prove the continuity and the Hölder equivalence w.r.t. an Euclidean distance of the value functio...
24 pagesInternational audienceWe prove the continuity and the Hölder equivalence w.r.t.\ an Euclidea...
In this article we study optimal control problems for systems that are affine in one part of the con...
We prove that the value function associated with an affine optimal control problem with quadratic co...
We consider an optimal control problem with space constraints and we show some properties of the opt...
In a recent paper ([1]) given one-parameter families of linear-quadratic control problems (with side...
We investigate the value function V:R+×Rn→R+∪{+∞}of the infinite horizon problem in optimal control ...
International audienceWe investigate the value function V : R+ × R n → R+ ∪ {+∞} of the infinite hor...
AbstractIn this paper we consider linear control systems on Rn with integral quadratic cost function...
In this paper we study optimal control problems characterized by two different kinds of decision ins...