Region of exponential stability of switched linear systems on time scales *

摘要

This paper deals with the stability analysis of a class of linear time-invariant switched systems on non-uniform time domains. The considered class consists of a set of linear continuous-time and linear discrete-time subsystems. Some sufficient and necessary conditions are derived to guarantee the exponential stability of this class of systems on time scales with bounded graininess function, introducing a region of exponential stability. Some examples illustrate these results.