Robust stability criterion for Markovian jump systems with nonlinear perturbations and mode-dependent time delays

In this paper, the problem of delay-dependent stability of a class of uncertain Markovian jump systems with mode-dependent interval time-varying delay and nonlinear perturbations is considered using Lyapunov-Krasovskii (LK) functional approach. In the proposed stability analysis, by exploiting a candidate LK functional and by imposing tighter bounding on the cross-terms using minimal number of slack matrix variables, a less conservative delay-dependent stability criterion is presented in linear matrix inequality framework. The effectiveness of the proposed stability criterion over some of the recently reported results is demonstrated through standard numerical examples.