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.

► New delay dependent stability conditions are derived in terms of linear matrix inequalities. ► A new mode-dependent Lyapunov–Krasovskii functional is constructed for non-linear singular systems. ► Free-weighting matrices approach and some integral inequalities are used to derive the stability conditions. ► Markovian jumping parameters and mode-dependent interval time varying delays are considered. ► Numerical examples are presented to illustrate the usefulness and less conservativeness.