Simple algebraic stability criteria for a class of discrete-time model-based switched multiple time delay systems

This paper handles the problem of stability of a class of discrete-time switched time-delay systems where each subsystem is described by TS fuzzy models. Moreover, the activation of one or the other of the subsystems occurs randomly i.e. according to an arbitrary switching law. The proposed method is based on the vector norms theory as well as on the comparison principle. The derived stability criteria are independent of both the size of the delay and the switching signal.