Hierarchical stability conditions of systems with time-varying delay

Hong-Bing Zeng, Zheng-Liang Zhai and Wei Wang

Applied Mathematics and Computation, 2021, vol. 404, issue C

Abstract: This paper studies the stability problem of time-varying delay systems. Firstly, By constructing a delay-product Lyapunov-Krasovskii functional, a stability criterion is established, where the advantages of convexity properties are being exploited. This stability criterion in terms of linear matrix inequality (LMI) can be checked exactly using an improved negativity condition of quadratic polynomials. It is demonstrated in the numeric examples that the proposed method can greatly reduce the conservativeness without leading to increase the number of decision variables.

Keywords: Stability; Time-varying delay; Linear matrix inequalities; Lyapunov-Krasovskii functional (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:404:y:2021:i:c:s009630032100312x

DOI: 10.1016/j.amc.2021.126222

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