Novel stability conditions for Markovian jump systems with interval time-varying delay

This paper investigates the robust stochastic stability analysis problem for a class of uncertain Markovian jump linear systems with interval time-varying delay. By employing the more general decomposition of delay interval and using the upper and lower bounds of delay-derivative, the less conservative stochastic stability and robust stochastic stability conditions are derived in terms of linear matrix inequalities (LMIs). Numerical examples show that the proposed results improve some existing ones.