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

W. Kwon, Baeyoung Koo and S.M. Lee

Applied Mathematics and Computation, 2018, vol. 320, issue C, 149-157

Abstract: 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.

Keywords: Lyapunov stability; Time-varying delay; Delay-dependent matrix (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:320:y:2018:i:c:p:149-157

DOI: 10.1016/j.amc.2017.09.036

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