A new robust delay-dependent stability criterion for a class of uncertain systems with delay

A new robust delay-dependent stability criterion for a class of uncertain systems with delay is established based-on Park inequality. The result for robust delay-dependent stability is presented in terms of linear matrix inequalities (LMIs) by using Lyapunov-Krasovskii functional method. By this result, we give an estimate of the maximum admissible delay, which can be transformed into a generalized eigenvalue problem. Furthermore, a mixed delay stability criterion for this class of uncertain systems with multi-delays is obtained. Finally, two numerical examples are also worked out to illustrate the efficiency and feasibility of the present result.