The thesis is devoted to Differential Geometry of parametrized curves in Lagrange Grassmannians and its applications to Optimal Control Problems and Hamiltonian Dynamics, especially to Sub-Riemannian Geometry
: This paper presents new conditions under which sub-Riemannian distance can be measured by means of...
A geometric version of the maximum principle for autonomous optimal con-trol problems is derived and...
Communicated by O. Kowalski We define the notion of sub-Finsler geometry as a natural generalization...
The thesis is devoted to Differential Geometry of parametrized curves in Lagrange Grassmannians and...
AbstractCurves in Lagrange Grassmannians appear naturally in the intrinsic study of geometric struct...
In this paper, we discuss the problem of globally computing sub-Riemannian curves on the Euclidean g...
This paper tackles the problem of globally computing sub-Riemannian curves on the Euclidean group of...
We explain a general variational and dynamical nature of nice and powerful concepts and results main...
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...
We consider the nonlinear dynamic interpolation problem on Riemannian manifolds and, in particular, ...
AbstractWe define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian g...
International audienceThis volume presents recent advances in the interaction between Geometric Cont...
The sub-Riemannian problem on group of motions of pseudo Euclidean plane is considered. From enginee...
Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed ...
: This paper presents new conditions under which sub-Riemannian distance can be measured by means of...
A geometric version of the maximum principle for autonomous optimal con-trol problems is derived and...
Communicated by O. Kowalski We define the notion of sub-Finsler geometry as a natural generalization...
The thesis is devoted to Differential Geometry of parametrized curves in Lagrange Grassmannians and...
AbstractCurves in Lagrange Grassmannians appear naturally in the intrinsic study of geometric struct...
In this paper, we discuss the problem of globally computing sub-Riemannian curves on the Euclidean g...
This paper tackles the problem of globally computing sub-Riemannian curves on the Euclidean group of...
We explain a general variational and dynamical nature of nice and powerful concepts and results main...
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...
We consider the nonlinear dynamic interpolation problem on Riemannian manifolds and, in particular, ...
AbstractWe define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian g...
International audienceThis volume presents recent advances in the interaction between Geometric Cont...
The sub-Riemannian problem on group of motions of pseudo Euclidean plane is considered. From enginee...
Sub-Riemannian manifolds model media with constrained dynamics: motion at any point is only allowed ...
: This paper presents new conditions under which sub-Riemannian distance can be measured by means of...
A geometric version of the maximum principle for autonomous optimal con-trol problems is derived and...
Communicated by O. Kowalski We define the notion of sub-Finsler geometry as a natural generalization...