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Finite-time stability and stabilisation for switched linear systems

Author

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  • Weiming Xiang
  • Jian Xiao

Abstract

In this article, the finite-time stability analysis and stabilisation for switched continuous linear system are addressed. Several sufficient conditions for finite-time boundness and stability of switched system are proposed in this article. By comparing the proposed results, it is shown that more the information about the switching signal is known, less conservative results can be derived. Then, based on the finite-time stability analysis results, static state and dynamic output feedback controllers are designed to finite-time stabilise switched linear systems. Several numerical examples are given to illustrate the proposed results within this article.

Suggested Citation

  • Weiming Xiang & Jian Xiao, 2013. "Finite-time stability and stabilisation for switched linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 384-400.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:2:p:384-400
    DOI: 10.1080/00207721.2011.604738
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    Cited by:

    1. Chunbin Qin & Huaguang Zhang & Yanhong Luo & Binrui Wang, 2014. "Finite horizon optimal control of non-linear discrete-time switched systems using adaptive dynamic programming with ε-error bound," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(8), pages 1683-1693, August.
    2. Wenping Xue & Kangji Li & Guohai Liu, 2016. "DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(12), pages 3027-3035, September.
    3. Mohammad Bagher Abolhasani Jabali & Mohammad Hosein Kazemi, 2017. "Power System Event Ranking Using a New Linear Parameter-Varying Modeling with a Wide Area Measurement System-Based Approach," Energies, MDPI, vol. 10(8), pages 1-14, July.
    4. Chen Zheng & Jinde Cao & Manfeng Hu & Xiaozheng Fan, 2017. "Finite-time stabilisation for discrete-time T–S fuzzy model system with channel fading and two types of parametric uncertainty," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(1), pages 34-42, January.
    5. Yeguo Sun, 2014. "Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1963-1969, September.
    6. Göksu, Gökhan & Başer, Ulviye, 2021. "Finite-time stability for switched linear systems by Jordan decomposition," Applied Mathematics and Computation, Elsevier, vol. 395(C).

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