Delay-segment-dependent robust stability for a class of discrete stochastic Markovian jumping system with time delay and uncertainties

The problem of robust stochastic stability for a class of uncertain discrete stochastic Markovian jumping systems with time-varying interval delay is proposed in this paper. By constructing a parameter-dependent Lyapunov-Krasovskii functional and checking its difference in two subintervals, respectively, some novel delay-segment-dependent stability criteria for the addressed systems are derived. Numerical example is given to show effectiveness of the proposed method.