Stability analysis of linear systems with time-varying delay via some novel techniques

This paper concentrates on the stability analysis of linear systems with a time-varying delay. Firstly, a new Lyapunov-Krasovskii functional (LKF) is given, which involves more time delay cross-terms information. Secondly, an improved reciprocally convex inequality with higher estimation accuracy is derived. Then, on the basis of the constructed LKF and the improved reciprocally convex inequality, some new stability criteria with less conservative are proposed. Finally, the superiority of the obtained stability criteria is explained by two numerical examples.