New Lyapunov-Krasovskii Functional for Stability Analysis of Linear Systems with Time-Varying Delay

This paper focuses on the problem of delay-dependent stability of linear systems with time-varying delay. A new delay-product-type augmented Lyapunov-Krasovskii functional (LKF) is constructed. Based on the LKF and by employing a generalized free-matrix-based integral inequality, less conservative delay-dependent stability criteria are obtained. Finally, two well-known numerical examples are used to confirm the effectiveness and the superiority of the presented stability criteria.

Automated summary

This paper focuses on the delay-dependent stability of linear systems with time-varying delay, presenting a new augmented Lyapunov-Krasovskii functional and less conservative stability criteria. The effectiveness and superiority of the criteria are verified through two well-known numerical examples.