Controllability of a class of switching control systems and application to the Kinetic Battery Model

Abstract

This paper is concerned with the controllability of a class of switching control systems in which the zero control is an extreme point of the control constraint set. Sufficient and necessary conditions for local controllability at the origin of such systems are presented. In addition, sufficient conditions for local controllability at a nonzero state of such systems are established. Finally, we use the obtained results to study the controllability of the Kinetic Battery Model.