Add to ORKGAbstract. Given a locally Lipschitz control system which is globally asymptotically controllable to the origin, we construct a control-Lyapunov function for the system which is Lipschitz on bounded sets and we de-duce the existence of another one which is semiconcave (and so locally Lipschitz) outside the origin. The proof relies on value functions and nonsmooth calculus. 1
International audienceThe paper presents a computation-oriented method for characterizing and obtain...
International audienceLyapunov methods are one of the main tools to investigate local and global sta...
For a class of hybrid systems given in terms of constrained differential and difference equations/in...
International audienceGiven a locally Lipschitz control system which is globally asymptotically cont...
Abstract. We study the general problem of stabilization of globally asymptotically controllable syst...
We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth con...
Given a locally defined, nondifferentiable but Lipschitz Lyapunov func-tion, we construct a (discont...
International audienceWe introduce a class of locally Lipschitz continuous functions to establish st...
International audienceA smooth patchy control Lyapunov function for a nonlinear system consists of a...
Let $\dot{x}=f(x,u)$ be a general control system; the existence of a smooth control-Lyapunov functio...
This paper shows that, for time varying systems, global asymptotic controllability to a given closed...
International audienceWe propose a class of locally Lipschitz functions with piecewise structure for...
This paper shows that, for time varying systems, global asymptotic controllability to a given closed...
AbstractIn this paper we investigate the regularity of the value function of the Bolza control probl...
Abstract. Let x ̇ = f(x, u) be a general control system; the existence of a smooth control-Lyapunov...
International audienceThe paper presents a computation-oriented method for characterizing and obtain...
International audienceLyapunov methods are one of the main tools to investigate local and global sta...
For a class of hybrid systems given in terms of constrained differential and difference equations/in...
International audienceGiven a locally Lipschitz control system which is globally asymptotically cont...
Abstract. We study the general problem of stabilization of globally asymptotically controllable syst...
We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth con...
Given a locally defined, nondifferentiable but Lipschitz Lyapunov func-tion, we construct a (discont...
International audienceWe introduce a class of locally Lipschitz continuous functions to establish st...
International audienceA smooth patchy control Lyapunov function for a nonlinear system consists of a...
Let $\dot{x}=f(x,u)$ be a general control system; the existence of a smooth control-Lyapunov functio...
This paper shows that, for time varying systems, global asymptotic controllability to a given closed...
International audienceWe propose a class of locally Lipschitz functions with piecewise structure for...
This paper shows that, for time varying systems, global asymptotic controllability to a given closed...
AbstractIn this paper we investigate the regularity of the value function of the Bolza control probl...
Abstract. Let x ̇ = f(x, u) be a general control system; the existence of a smooth control-Lyapunov...
International audienceThe paper presents a computation-oriented method for characterizing and obtain...
International audienceLyapunov methods are one of the main tools to investigate local and global sta...
For a class of hybrid systems given in terms of constrained differential and difference equations/in...