Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma

Yibo Wang, Changchun Hua, PooGyeon Park and Cheng Qian

Applied Mathematics and Computation, 2023, vol. 448, issue C

Abstract: This paper investigates the stability analysis issue of time-varying delay systems via a novel reciprocally convex inequality lemma(RCIL). First, a novel reciprocally convex combination method is proposed by introducing a matrix-valued polynomial. Some previous methods are encompassed in the proposed method as special examples. Then, a newly asymmetric Lyapunov-Krasovskii(L-K) functional is presented via introducing some delay-product terms, which develop additional delay convexity information. Moreover, the proposed L-K functional and RCIL are amalgamated to develop new stability conditions. Finally, numerical examples and simulation experiments show the advancement of the proposed method.

Keywords: Stability; Reciprocally convex inequality; Asymmetric L-K functional; Time delay (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323000875

DOI: 10.1016/j.amc.2023.127918

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