New results on extended dissipativity analysis for discrete-time Markovian jump systems with time-varying delay

This paper deals with the problem of extended dissipative analysis for discrete-time Markovian jump systems with time-varying delay. Firstly, a stability criterion is obtained for considered systems by employing mode-dependent Lyapunov functional, Wirtinger-based inequality as well as improved reciprocally convex inequality. Secondly, based on the stability criterion, a sufficient condition, under which the delay Markovian jump system is stochastically stable with extended dissipative, is proposed. Finally, a numerical example is given to illustrate the advantageous and effectiveness of the scheme developed in this paper.