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.
markovian jump systems linear matrix inequalities delay-dependent stochastic stability lyapunov-krasovskii functional