ABSTRACT
Stochastic modeling has come to play an important role in many branches of science and industry. An area of particular interest has been the automatic control of stochastic systems, with consequent emphasis being placed on the analysis of stability in stochastic models. In the study of switched systems, most works have been centralized on the problem of stability. A switched system is a hybrid dynamical system consisting of a finite number of subsystems and a logical rule that manages switching between these subsystems. Switched systems constitute an important class of hybrid systems. There has been increasing interest in the stability analysis for such switched systems. The main approach for stability analysis relies on the use of Lyapunov-Krasovskii functional and linear matrix inequality approach for constructing a common Lyapunov function. The chapter provides a robust mean square stability problem for an uncertain stochastic-switched linear discrete-time delay with interval time-varying delays.
