In the classical calculus of variations, the question of regularity (smoothness or otherwise of certain func-tions) plays a dominant role. This same issue, al-though it emerges in different guises, has turned out to be crucial in nonlinear control theory, in contexts as various as necessary conditions for optimal con-trol, the existence of Lyapunov functions, and the construction of stabilizing feedbacks. In this report we give an overview of the subject, and of some recen
It is well-known that the value function V of a Bolza optimal control problem fails to be everywhere...
Abstract. The author recently introduced a regularity assumption for deriva-tives of set-valued mapp...
This paper deals with the local smooth stabilizability problem for nonlinear control systems defined...
Summary. The method of Lyapunov functions plays a central role in the study of the controllability a...
Abstract In this article, we deal with the existence, uniqueness, and a variation of solutions of th...
Two Theorems attributed to Hilbert-Weierstrass and Tonelli-Morrey respectively are two classical stu...
Abstract. This paper presents a Converse Lyapunov Function Theorem motivated by robust control analy...
We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth con...
Abstract: This tutorial paper is devoted to the controllability and stability of control systems tha...
We consider the Lagrange problem of optimal control with unrestricted controls and address the quest...
AbstractWe give a sufficient condition for smooth stabilization of nonlinear control systems. This c...
69 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988.In Optimal Control Theory, nec...
In the present paper we will improve this result and show that actually this solution is equivalent ...
Given a locally defined, nondifferentiable but Lipschitz Lyapunov func-tion, we construct a (discont...
This note presents an explicit proof of the theorem --due to Artstein-- which states that the existe...
It is well-known that the value function V of a Bolza optimal control problem fails to be everywhere...
Abstract. The author recently introduced a regularity assumption for deriva-tives of set-valued mapp...
This paper deals with the local smooth stabilizability problem for nonlinear control systems defined...
Summary. The method of Lyapunov functions plays a central role in the study of the controllability a...
Abstract In this article, we deal with the existence, uniqueness, and a variation of solutions of th...
Two Theorems attributed to Hilbert-Weierstrass and Tonelli-Morrey respectively are two classical stu...
Abstract. This paper presents a Converse Lyapunov Function Theorem motivated by robust control analy...
We present a formula for a stabilizing feedback law under the assumption that a piecewise smooth con...
Abstract: This tutorial paper is devoted to the controllability and stability of control systems tha...
We consider the Lagrange problem of optimal control with unrestricted controls and address the quest...
AbstractWe give a sufficient condition for smooth stabilization of nonlinear control systems. This c...
69 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1988.In Optimal Control Theory, nec...
In the present paper we will improve this result and show that actually this solution is equivalent ...
Given a locally defined, nondifferentiable but Lipschitz Lyapunov func-tion, we construct a (discont...
This note presents an explicit proof of the theorem --due to Artstein-- which states that the existe...
It is well-known that the value function V of a Bolza optimal control problem fails to be everywhere...
Abstract. The author recently introduced a regularity assumption for deriva-tives of set-valued mapp...
This paper deals with the local smooth stabilizability problem for nonlinear control systems defined...