Reducing conservatism of stability criteria for linear systems with time-varying delay using an improved triple-integral inequality

Bao-Lin Zhang, Luhua Cheng, Kejia Pan and Xian-Ming Zhang

Applied Mathematics and Computation, 2020, vol. 380, issue C

Abstract: This paper focuses on stability analysis of linear systems with time-varying delay, where two cases of the time-varying delay are discussed, that is, the time-varying delay is either differentiable or just uniformly continuous. First, an improved triple-integral inequality is proposed to estimate triple-integrals tightly. Then, by introducing two novel Lyapunov–Krasovskii functionals catering for two cases of time-varying delay, two sufficient conditions on stability, respectively, for the system under two cases of time-varying delay are derived using the improved triple-integral inequality and a necessary and sufficient condition on quadratic matrix inequalities reported recently. Finally, three numerical examples show that the obtained results outperform some existing ones.

Keywords: Time-varying delay; Integral inequality; Stability; Lyapunov–Krasovskii functional (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:380:y:2020:i:c:s009630032030223x

DOI: 10.1016/j.amc.2020.125254

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