Stability analysis of switched linear systems on non-uniform time domain with unstable subsystems

摘要

This paper deals with the stability analysis of a class of switched linear systems evolving on an arbitrary time domain. This class consists of a set of unstable linear continuous-time and unstable linear discrete-time subsystems. Using the time scale theory, some sufficient conditions are derived to guarantee the exponential stability of this class of systems with all modes unstable. Simulation results show the effectiveness of the proposed scheme.