Stability analysis for time delay systems via a generalized double integral inequality

Abstract

This paper proposes a new stability condition for a class of time delay systems. Firstly, a generalized double integral inequality is obtained. Then, a less conservative stability criterion is proposed by using the double integral inequality and choosing some new Lyapunov-Krasovskii functionals. Finally, two numerical examples are proposed to show the effectiveness of our method.

Keywords

• time delay systems
• linear matrix inequality (lmi)
• double integral inequality
• lyapunov-krasovskii functional (lkf)