We prove continuity of certain cost functions arising from optimal control of affine control systems. We give sharp sufficient conditions for this continuity. As an application, we prove a version of weak KAM theorem and consider the Aubry-Mather problems corresponding to these system
International audienceWe investigate the value function V : R+ × R n → R+ ∪ {+∞} of the infinite hor...
In a recent paper ([1]) given one-parameter families of linear-quadratic control problems (with side...
Dedicated to the memory of Almaskhan Gugushvili Abstract. We obtain a version of Noether’s invarianc...
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...
Abstract. We prove continuity of certain cost functions arising from optimal control of affine contr...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
An open problem concerning the convergence of the optimal cost for the cheap control problem without...
We prove the continuity and the Hölder equivalence w.r.t. an Euclidean distance of the value functio...
Let $T>0$ fixed. We consider the optimal control problem for analytic affine systems~: $\ds{\dot{x}=...
24 pagesInternational audienceWe prove the continuity and the Hölder equivalence w.r.t.\ an Euclidea...
We prove that the value function associated with an affine optimal control problem with quadratic co...
AbstractThe maximum amplitude cost of a control function u(t) taken to be ess sup g(t, u(t)), where ...
We consider an optimal control problem with space constraints and we show some properties of the opt...
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...
In a recent paper ([1]) given one-parameter families of linear-quadratic control problems (with side...
Dedicated to the memory of Almaskhan Gugushvili Abstract. We obtain a version of Noether’s invarianc...
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...
Abstract. We prove continuity of certain cost functions arising from optimal control of affine contr...
In this paper we investigate for given one-parameter families of linear time-invariant finite-dimens...
An open problem concerning the convergence of the optimal cost for the cheap control problem without...
We prove the continuity and the Hölder equivalence w.r.t. an Euclidean distance of the value functio...
Let $T>0$ fixed. We consider the optimal control problem for analytic affine systems~: $\ds{\dot{x}=...
24 pagesInternational audienceWe prove the continuity and the Hölder equivalence w.r.t.\ an Euclidea...
We prove that the value function associated with an affine optimal control problem with quadratic co...
AbstractThe maximum amplitude cost of a control function u(t) taken to be ess sup g(t, u(t)), where ...
We consider an optimal control problem with space constraints and we show some properties of the opt...
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...
In a recent paper ([1]) given one-parameter families of linear-quadratic control problems (with side...
Dedicated to the memory of Almaskhan Gugushvili Abstract. We obtain a version of Noether’s invarianc...
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