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New results on admissibility and dissipativity analysis of descriptor time-delay systems

Author

Listed:
  • Fu, Xiuwen
  • Sheng, Zhaoliang
  • Lin, Chong
  • Chen, Bing

Abstract

This work investigates the admissibility and dissipativity of descriptor systems with state delay. A novel asymmetric Lyapunov–Krasovskii functional (LKF) is constructed to obtain delay-dependent conditions. According to strict linear matrix inequalities (LMIs), new criteria for admissibility and dissipativity are proposed. The main advantage of our method lies in that the removal of the positive definiteness of some symmetric matrices greatly reduces the conservatism. Three numerical examples are presented to verify the merits of our results.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:419:y:2022:i:c:s0096300321009437
    DOI: 10.1016/j.amc.2021.126860
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    References listed on IDEAS

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    1. Chen, Wenbin & Gao, Fang & She, Jinhua & Xia, Weifeng, 2020. "Further results on delay-dependent stability for neutral singular systems via state decomposition method," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Sun, Lin & Su, Lei & Wang, Jing, 2021. "Non-fragile dissipative state estimation for semi-Markov jump inertial neural networks with reaction-diffusion," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    3. 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).
    4. 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.
    5. Mu, Yunfei & Zhang, Huaguang & Su, Hanguang & Wang, Yingchun, 2021. "Robust normalization and H∞ stabilization for uncertain Takagi-Sugeno fuzzy singular systems with time-delays," Applied Mathematics and Computation, Elsevier, vol. 388(C).
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    Cited by:

    1. Wang, Yibo & Hua, Changchun & Park, PooGyeon & Qian, Cheng, 2023. "Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma," Applied Mathematics and Computation, Elsevier, vol. 448(C).

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