Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

This paper deals with the problem of stability analysis of non-linear singular systems with Markovian jumping parameters and mode-dependent interval time varying delays. New delay-dependent stability conditions are derived in terms of linear matrix inequalities (LMIs) by constructing a mode-dependent Lyapunov–Krasovskii functional and using some integral inequalities. Numerical examples are presented to illustrate the usefulness and less conservativeness of the proposed theoretical results.