Stability Analysis of Systems With Time-Varying Delays via an Improved Integral Inequality

Abstract

This paper is concerned with a new stability criterion for systems with time-varying delays. Firstly, a generalized integral inequality is proposed, which includes some existing inequalities as special cases. Then, a new stability criterion is derived by choosing some new Lyapunov-Krasovskii functionals. Finally, the effectiveness of our method is shown by a numerical example.

Keywords

• Time-delay system
• linear matrix inequality (LMI)
• integral inequality
• Lyapunov-Krasovskii functional (LKF)