Exponential stability and [formula omitted]-gain analysis for positive time-delay Markovian jump systems with switching transition rates subject to average dwell time

Abstract

The paper deals with the problems of exponential stability and L1-gain analysis for positive time-delay Markovian jump systems (MJSs) with switching transition rates. Another set of useful regime-switching model is given, which extends fixed transition rates to time-varying transition rates. By resorting to the linear co-positive Lyapunov function and average dwell time, sufficient conditions for exponential stability are proposed in terms of standard linear programming. Based on the obtained results, L1-gain performance is analyzed. Finally, an example is proposed to illustrate the validity of the main results.