Delay-Dependent Criteria for Robust Stability of Singularly Perturbed Systems with Delays

This paper considers the problem of delay-dependent robust stability for singularly perturbed systems with state delays. Some new delay-dependent stability criteria are derived by employing appropriate Lyapunov-Krasovskii functional. Since some free weighting matrices are used to express the relationship between the terms in the Leibniz-Newton formula, the new criteria are less conservative than existing ones. Numerical examples illustrate the effectiveness of the new theory.