New Delay-Dependent Stability Criteria for Singular Systems with Time-Varying Delay in a Range

This paper proposes new delay-dependent stability criteria for a class of singular systems with time-varying delay using Jensen’s and Wirtinger’s inequalities. The proposed delay-dependent stability criteria have been derived in terms of linear matrix inequalities by use of a common augmented Lyapunov–Krasovskii functional. The conservativeness of the proposed stability criteria have been studied and validated on standard example problem. The results prove efficacy of the proposed criteria in terms of conservatism in delay bounds. The stability condition based on Wirtinger’s inequality is shown to be less conservative as compared to one based on Jensen’s inequality.