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Robust stability analysis and stabilisation of uncertain neutral singular systems

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Listed:
  • Jichun Wang
  • Qingling Zhang
  • Dong Xiao
  • Fang Bai

Abstract

This paper studies the problem of robust stability and stabilisation of uncertain neutral singular systems and develops a new stability criterion of the differential operator, ℑ by the final value theorem for Laplace transform. By utilising Lyapunov functional and free-weight matrix method, we employ the linear matrix inequality technique and the stability condition to derive some new criteria which ensure the robustly asymptotical stability of the studied system. State feedback controllers with disturbance are designed to guarantee the robustly asymptotical stability of the uncertain system. Numerical examples are provided to validate the effectiveness of the obtained results.

Suggested Citation

  • Jichun Wang & Qingling Zhang & Dong Xiao & Fang Bai, 2016. "Robust stability analysis and stabilisation of uncertain neutral singular systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(16), pages 3762-3771, December.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:16:p:3762-3771
    DOI: 10.1080/00207721.2015.1120905
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    References listed on IDEAS

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    1. Liu, Xin-Ge & Wu, Min & Martin, Ralph & Tang, Mei-Lan, 2007. "Delay-dependent stability analysis for uncertain neutral systems with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 15-27.
    2. Deng, Shaojiang & Liao, Xiaofeng & Guo, Songtao, 2009. "Asymptotic stability analysis of certain neutral differential equations: A descriptor system approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 2981-2993.
    3. Li, Hong & Li, Hou-biao & Zhong, Shou-ming, 2007. "Stability of neutral type descriptor system with mixed delays," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1796-1800.
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    Cited by:

    1. Long, Shaohua & Wu, Yunlong & Zhong, Shouming & Zhang, Dian, 2018. "Stability analysis for a class of neutral type singular systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 113-131.
    2. 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).
    3. Long, Shaohua & Zhang, Yu & Zhong, Shouming, 2024. "New results on the stability and stabilization for singular neutral systems with time delay," Applied Mathematics and Computation, Elsevier, vol. 473(C).

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