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Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality

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  • Zerong Ren
  • Jun-kang Tian

Abstract

This paper focuses on delay-dependent stability analysis for systems with interval time-varying delays. Based on a new integral inequality and a generalized reciprocally convex combination matrix inequality, a new delay-dependent stability criterion is obtained in terms of a linear matrix inequality (LMI). Finally, the merits of the proposed criterion are shown by two numerical examples.

Suggested Citation

  • Zerong Ren & Jun-kang Tian, 2020. "Stability Analysis of Systems with Interval Time-Varying Delays via a New Integral Inequality," Complexity, Hindawi, vol. 2020, pages 1-7, February.
    • Handle: RePEc:hin:complx:2854293
    DOI: 10.1155/2020/2854293
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    Cited by:

    1. Cemil Tunç & Osman Tunç & Yuanheng Wang & Jen-Chih Yao, 2021. "Qualitative Analyses of Differential Systems with Time-Varying Delays via Lyapunov–Krasovskiĭ Approach," Mathematics, MDPI, vol. 9(11), pages 1-20, May.

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