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New stability criteria of singular systems with time-varying delay via free-matrix-based integral inequality

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  • Ya-Li Zhi
  • Yong He
  • Jianhua Shen
  • Min Wu

Abstract

This paper concerns the stability problem of singular systems with time-varying delay. First, the singular system with time-varying delay is transformed into the neutral system with time-varying delay. Second, a more proper Lyapunov–Krasovskii functional (LKF) is constructed by adding some integral terms to quadratic forms. Then, to obtain less conservative conditions, the free-matrix-based integral inequality is adopted to estimate the derivative of LKF. As a result, some delay-dependent stability criteria are given in terms of linear matrix inequalities. Finally, two numerical examples are provided to demonstrate the effectiveness and superiority of the proposed method.

Suggested Citation

  • Ya-Li Zhi & Yong He & Jianhua Shen & Min Wu, 2018. "New stability criteria of singular systems with time-varying delay via free-matrix-based integral inequality," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(5), pages 1032-1039, April.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:1032-1039
    DOI: 10.1080/00207721.2018.1439123
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    Cited by:

    1. Tian, Yufeng & Wang, Yuzhong & Ren, Junchao, 2020. "Stability analysis and control design of singular Markovian jump systems via a parameter-dependent reciprocally convex matrix inequality," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    2. Fu, Xiuwen & Sheng, Zhaoliang & Lin, Chong & Chen, Bing, 2022. "New results on admissibility and dissipativity analysis of descriptor time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    3. Zhao, Yinghong & Ma, Yuechao, 2021. "Asynchronous H∞ control for hidden singular Markov jump systems with incomplete transition probabilities via state decomposition approach," Applied Mathematics and Computation, Elsevier, vol. 407(C).

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