Add to ORKGA geometric version of the maximum principle for autonomous optimal con-trol problems is derived and applied to the length-minimising problem in sub-Riemannian geometry and to Lagrangian mechanics on Lie-algebroids
In this paper we consider the well-known implicit Lagrange problem: find a trajectory solution of an...
International audienceThis survey article deals with applications of optimal control to aerospace pr...
In this paper we consider some optimal problems for pencils of trajectories of nonlinear control sys...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
Abstract. The problem of minimizing the cost functional of an Optimal Control System through the use...
The sub-Riemannian problem on group of motions of pseudo Euclidean plane is considered. From enginee...
Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed ...
Abstract. In this paper, we consider a geometric formalism for optimal control of under-actuated mec...
In Riemannian geometry, there are various comparison theorems which estimate the distance to conjuga...
An invariant formulation of the maximum principle in optimal control is presented, and some second-o...
These are lecture notes of the introductory course in Optimal Control theory treated from the geomet...
We introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin m...
In this paper we study constrained optimal control problems on semi-simple Lie groups. These constra...
: In this paper we present a simplified formulation of the necessary conditions for optimal controls...
Abstract This article deals with applications of optimal control to aerospace problems with a focus ...
In this paper we consider the well-known implicit Lagrange problem: find a trajectory solution of an...
International audienceThis survey article deals with applications of optimal control to aerospace pr...
In this paper we consider some optimal problems for pencils of trajectories of nonlinear control sys...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
Abstract. The problem of minimizing the cost functional of an Optimal Control System through the use...
The sub-Riemannian problem on group of motions of pseudo Euclidean plane is considered. From enginee...
Since the second half of the 20th century, Pontryagin’s Maximum Principle has been widely discussed ...
Abstract. In this paper, we consider a geometric formalism for optimal control of under-actuated mec...
In Riemannian geometry, there are various comparison theorems which estimate the distance to conjuga...
An invariant formulation of the maximum principle in optimal control is presented, and some second-o...
These are lecture notes of the introductory course in Optimal Control theory treated from the geomet...
We introduce a class of optimal control problems on manifolds which gives rise (via the Pontryagin m...
In this paper we study constrained optimal control problems on semi-simple Lie groups. These constra...
: In this paper we present a simplified formulation of the necessary conditions for optimal controls...
Abstract This article deals with applications of optimal control to aerospace problems with a focus ...
In this paper we consider the well-known implicit Lagrange problem: find a trajectory solution of an...
International audienceThis survey article deals with applications of optimal control to aerospace pr...
In this paper we consider some optimal problems for pencils of trajectories of nonlinear control sys...