Stability of switched linear systems on time scale

In the modeling context, a dynamic system that represent the model of a phenomenon by incorporating both continuous and discrete times might give more realistic results.i.e, that time contains closed set of arbitrary real values called “time scales” and denoted by T. In this paper, the stability of class of switched linear system modeled in time scale T = P_a,b is examined, where the length and the gap of closed intervals union are a and b respectively.