Exponential mean-square stability of time-delay singular systems with Markovian switching and nonlinear perturbations

This paper considers exponential stability in mean-square of singular Markovian jump systems. The systems under consideration involve nonlinear perturbation and time-varying delays. By using the Lyapunov–Krasovskii functional, delay-dependent stability conditions in terms of linear matrix inequality (LMI) are addressed, which guarantee exponential mean-square stability and a prescribed H∞H∞ performance index for the considered systems. Two numerical examples are given to illustrate the effectiveness of the proposed main results.