Add to ORKGIn a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from this point of view, one should describe those properties of the affine subbundle that either ensure or prohibit local controllability. In this paper, second-order conditions of this nature are provided. The techniques involve a fusion of well-established analytical methods with differential geometric ideas
The geometric approach is a collection of tools, properties and algorithms that enable us to analyze...
Abstract. Methods are presented for locally studying smooth nonlinear control systems on the manifol...
Abstract: In this paper, we will investigate a class of affine nonlinear systems with a triangular-l...
In a geometric point of view, a nonlinear control system, a#ne in the controls, is thought of as an ...
Abstract: In this paper, we will present some recent progress in both global controllability and glo...
We survey the basic theory, results, and applications of geometric control theory. A control system ...
AbstractLocal and global controlability of analytic affine control systems Σ with an arbitrary numbe...
AbstractSmall time local controllability of a C1 affine control system, with a generic drift vector ...
This book presents some facts and methods of the Mathematical Control Theory treated from the geome...
Given a control-affine system and a controlled invariant submanifold, we present necessary and suffi...
Abstract. Motivated by the ubiquity of control-affine systems in optimal control theory, we investig...
Abstract. This paper presents a brief introduction to the controllability of nonlinear systems throu...
We present a computable sufficient condition to determine local controllability of a differential no...
AbstractLocal controllability of genericCktriplets of vector fields in a three dimensional connected...
Work performed while a graduate student at Queen’s University. In this thesis, we develop a feedback...
The geometric approach is a collection of tools, properties and algorithms that enable us to analyze...
Abstract. Methods are presented for locally studying smooth nonlinear control systems on the manifol...
Abstract: In this paper, we will investigate a class of affine nonlinear systems with a triangular-l...
In a geometric point of view, a nonlinear control system, a#ne in the controls, is thought of as an ...
Abstract: In this paper, we will present some recent progress in both global controllability and glo...
We survey the basic theory, results, and applications of geometric control theory. A control system ...
AbstractLocal and global controlability of analytic affine control systems Σ with an arbitrary numbe...
AbstractSmall time local controllability of a C1 affine control system, with a generic drift vector ...
This book presents some facts and methods of the Mathematical Control Theory treated from the geome...
Given a control-affine system and a controlled invariant submanifold, we present necessary and suffi...
Abstract. Motivated by the ubiquity of control-affine systems in optimal control theory, we investig...
Abstract. This paper presents a brief introduction to the controllability of nonlinear systems throu...
We present a computable sufficient condition to determine local controllability of a differential no...
AbstractLocal controllability of genericCktriplets of vector fields in a three dimensional connected...
Work performed while a graduate student at Queen’s University. In this thesis, we develop a feedback...
The geometric approach is a collection of tools, properties and algorithms that enable us to analyze...
Abstract. Methods are presented for locally studying smooth nonlinear control systems on the manifol...
Abstract: In this paper, we will investigate a class of affine nonlinear systems with a triangular-l...