Novel Lyapunov-Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems

作者：Kwon W; Koo Baeyoung; Lee S M

来源：Applied Mathematics and Computation, 2018, 320: 149-157.

DOI：10.1016/j.amc.2017.09.036

• Lyapunov stability
• Time-varying delay
• Delay-dependent matrix

This paper investigates the stability criteria of time-varying delay systems with known bounds of the delay and its derivative. To obtain a tighter bound of integral term, quadratic generalized free-weighting matrix inequality (QGFMI) is proposed. Furthermore, a novel augmented Lyapunov-Krasovskii functional (LKF) are constructed with a delay-dependent matrix, which impose the information for a bound of delay derivative. Relaxed stability condition using QGFMI and LKF provides a larger delay bound with low computational burden. The superiority of the proposed stability condition is verified by comparing to recent results.

• 出版日期2018-3-1