Conjugate point type second order optimality conditions for extremals associated to smooth Hamiltonians are evaluated by means of a new algorithm. Two kinds of standard control problems fit in this setting: the so-called regular ones, and the minimum time singular single-input affine systems. Conjugate point theory is recalled in these two cases, and two applications are presented: the minimum time control of the Kepler and Euler equations
AbstractIn this paper we present, for optimal control problems with smooth control constraints, seco...
The new result presented is a conjugate point condition for an optimal control problem in which ther...
The constructions of the conjugated derivatives for formulation of the price function stability prop...
Conjugate point type second order optimality conditions for extremals associated to smooth Hamiltoni...
International audienceThe aim of this article is to present algorithms to compute the first conjugat...
The aim of this article is to present algorithms to compute the first conjugate time along a smooth ...
The aim of this article is to present the algorithm to compute the first conjugate point along a smo...
This reference introduces the Matlab package cotcot designed to compute extremals in the case of smo...
International audienceThe aim of this article is to present the algorithm to compute the first conju...
This paper seeks to unify, and improve, different approaches to con-jugacy applicable to certain cla...
Abstract. The aim of this article is to present the algorithm to compute the first conjugate point a...
On considère le problème de contrôle optimal de temps minimal pour des systèmes affine et mono-entré...
In this thesis we consider a minimal time control problem for single-input control-affine systems in...
Two interesting and important properties of the conjugate points have been discussed and illustrated...
In this paper we study second order sufficient conditions for the strong-local optimality of singula...
AbstractIn this paper we present, for optimal control problems with smooth control constraints, seco...
The new result presented is a conjugate point condition for an optimal control problem in which ther...
The constructions of the conjugated derivatives for formulation of the price function stability prop...
Conjugate point type second order optimality conditions for extremals associated to smooth Hamiltoni...
International audienceThe aim of this article is to present algorithms to compute the first conjugat...
The aim of this article is to present algorithms to compute the first conjugate time along a smooth ...
The aim of this article is to present the algorithm to compute the first conjugate point along a smo...
This reference introduces the Matlab package cotcot designed to compute extremals in the case of smo...
International audienceThe aim of this article is to present the algorithm to compute the first conju...
This paper seeks to unify, and improve, different approaches to con-jugacy applicable to certain cla...
Abstract. The aim of this article is to present the algorithm to compute the first conjugate point a...
On considère le problème de contrôle optimal de temps minimal pour des systèmes affine et mono-entré...
In this thesis we consider a minimal time control problem for single-input control-affine systems in...
Two interesting and important properties of the conjugate points have been discussed and illustrated...
In this paper we study second order sufficient conditions for the strong-local optimality of singula...
AbstractIn this paper we present, for optimal control problems with smooth control constraints, seco...
The new result presented is a conjugate point condition for an optimal control problem in which ther...
The constructions of the conjugated derivatives for formulation of the price function stability prop...