A wide range of dynamical systems from fields as diverse as mechanics, electrical networks and molecular chemistry can be modeled by invariant systems on matrix Lie groups. This paper introduces control systems on matrix Lie groups and studies open- loop tracking and feedback stabilization for these systems in the presence of nonholonomic constraints. Using the concept of approximate inversion, results for drift-free, left-invariant systems on specific matrix Lie groups are presented
A vector field on a connected Lie group is said to be linear if its flow is a one parameter group of...
In this paper, we extend the popular integral control technique to systems evolving on Lie groups. M...
International audienceThis paper is devoted to the study of controllability of linear systems on sol...
A wide range of dynamical systems from fields as diverse as mechanics, electrical networks and molec...
A wide range of dynamical systems from fields as diverse as mechanics, electrical networks and molec...
We consider under-actuated, drift-free, invariant systems on matrix Lie groups and show how motion c...
In this dissertation we study the control of nonholonomic systems defined by invariant vector fields...
In this paper we generalize a technique for eliminating the drift from the description of a control ...
In this dissertation, we study motion control problems in the framework of systems on finite-dimenti...
This paper deals with the problem of output regulation for left invariant systems defined on general...
This paper considers the problem of tracking reference trajectories for systems defined on matrix Li...
See the abstractThis paper deals with the problem of output regulation for systems defined on matrix...
In this paper we extend our earlier results on the use of periodic forcing and averaging to solve th...
The deeper investigation of problems of feedback stabilization and constructive controllability has ...
The usefulness in control theory of the geometric theory of motion on Lie groups and homogeneous spa...
A vector field on a connected Lie group is said to be linear if its flow is a one parameter group of...
In this paper, we extend the popular integral control technique to systems evolving on Lie groups. M...
International audienceThis paper is devoted to the study of controllability of linear systems on sol...
A wide range of dynamical systems from fields as diverse as mechanics, electrical networks and molec...
A wide range of dynamical systems from fields as diverse as mechanics, electrical networks and molec...
We consider under-actuated, drift-free, invariant systems on matrix Lie groups and show how motion c...
In this dissertation we study the control of nonholonomic systems defined by invariant vector fields...
In this paper we generalize a technique for eliminating the drift from the description of a control ...
In this dissertation, we study motion control problems in the framework of systems on finite-dimenti...
This paper deals with the problem of output regulation for left invariant systems defined on general...
This paper considers the problem of tracking reference trajectories for systems defined on matrix Li...
See the abstractThis paper deals with the problem of output regulation for systems defined on matrix...
In this paper we extend our earlier results on the use of periodic forcing and averaging to solve th...
The deeper investigation of problems of feedback stabilization and constructive controllability has ...
The usefulness in control theory of the geometric theory of motion on Lie groups and homogeneous spa...
A vector field on a connected Lie group is said to be linear if its flow is a one parameter group of...
In this paper, we extend the popular integral control technique to systems evolving on Lie groups. M...
International audienceThis paper is devoted to the study of controllability of linear systems on sol...
Add to ORKG