Add to ORKG2000 Mathematics Subject Classification: 49J15, 49J30, 53B50.In the context of sub-Riemannian geometry and the Lipschitzian regularity of minimizers in control theory, we investigate some properties of minimizing geodesics for certain affine distributions. In particular, we consider the case of a generalized H2-strong affine distribution and the case of an affine Plaff system of maximal class
AbstractWe define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian g...
Motivated by nonholonomic mechanics, we investigate various aspects of the interplay of an affine co...
We prove sectional and Ricci-type comparison theorems for the existence of conjugate points along su...
Abstract. Motivated by the ubiquity of control-affine systems in optimal control theory, we investig...
: This paper presents new conditions under which sub-Riemannian distance can be measured by means of...
24 pages, 17 figuresIn this paper we study the sub-Finsler geometry as a time-optimal control proble...
The paper investigates the property of Strong Metric sub-Regularity (SMsR) of the mapping representi...
We study the regularity problem for sub-Riemannian geodesics, i.e., for those curves that minimize l...
Abstract. The problem of minimizing the cost functional of an Optimal Control System through the use...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
In this survey, we present some recent results on the problem about the regularity of length-minimiz...
Abstract We consider the sub-Riemannian length minimization problem on the group of motions of hyper...
AbstractWe consider the differential game formulation of the nonlinear state feedback H∞ control pro...
Consider a sub-Riemannian geometry $(U,D,g)$ where $U$ is a neighborhood at $0$ in $\R^n,$ $D$ is a ...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
AbstractWe define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian g...
Motivated by nonholonomic mechanics, we investigate various aspects of the interplay of an affine co...
We prove sectional and Ricci-type comparison theorems for the existence of conjugate points along su...
Abstract. Motivated by the ubiquity of control-affine systems in optimal control theory, we investig...
: This paper presents new conditions under which sub-Riemannian distance can be measured by means of...
24 pages, 17 figuresIn this paper we study the sub-Finsler geometry as a time-optimal control proble...
The paper investigates the property of Strong Metric sub-Regularity (SMsR) of the mapping representi...
We study the regularity problem for sub-Riemannian geodesics, i.e., for those curves that minimize l...
Abstract. The problem of minimizing the cost functional of an Optimal Control System through the use...
In this paper, we study the sub-Finsler geometry as a time-optimal control problem. In particular, w...
In this survey, we present some recent results on the problem about the regularity of length-minimiz...
Abstract We consider the sub-Riemannian length minimization problem on the group of motions of hyper...
AbstractWe consider the differential game formulation of the nonlinear state feedback H∞ control pro...
Consider a sub-Riemannian geometry $(U,D,g)$ where $U$ is a neighborhood at $0$ in $\R^n,$ $D$ is a ...
Optimal control theory is an extension of the calculus of variations, and deals with the optimal beh...
AbstractWe define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian g...
Motivated by nonholonomic mechanics, we investigate various aspects of the interplay of an affine co...
We prove sectional and Ricci-type comparison theorems for the existence of conjugate points along su...