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Robust stabilization of linear differential inclusion system with time delay

Author

Listed:
  • Liu, Leipo
  • Han, Zhengzhi
  • Cai, Xiushan
  • Huang, Jun

Abstract

This paper is concerned with robust stabilization of linear differential inclusion systems with time delay. A nonlinear feedback law is established by using convex hull quadratic Lyapunov functions to make the state exponentially stable. An example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Liu, Leipo & Han, Zhengzhi & Cai, Xiushan & Huang, Jun, 2010. "Robust stabilization of linear differential inclusion system with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 951-958.
    • Handle: RePEc:eee:matcom:v:80:y:2010:i:5:p:951-958
    DOI: 10.1016/j.matcom.2009.10.006
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    References listed on IDEAS

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    1. Song, Qiankun & Cao, Jinde, 2007. "Global robust stability of interval neural networks with multiple time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(1), pages 38-46.
    2. Li, Huaizhong & Niculescu, Silviu-Iulian & Dugard, Luc & Dion, Jean-Michel, 1998. "Robust guaranteed cost control of uncertain linear time-delay systems using dynamic output feedback," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 45(3), pages 349-358.
    3. Liu, Leipo & Han, Zhengzhi & Cai, Xiushan, 2009. "Sliding mode control for polytopic differential inclusion systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(10), pages 3018-3025.
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    Cited by:

    1. Huang, Jun & Han, Zhengzhi & Cai, Xiushan & Liu, Leipo, 2011. "Uniformly ultimately bounded tracking control of linear differential inclusions with stochastic disturbance," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(12), pages 2662-2672.

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