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Uniformly ultimately bounded tracking control of linear differential inclusions with stochastic disturbance

Author

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

Abstract

The tracking control of linear differential inclusions with stochastic disturbance is considered. The feedback law is constructed by the convex hull Lyapunov function. The design objective is to make the error system uniformly ultimately bounded in mean square. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:81:y:2011:i:12:p:2662-2672
    DOI: 10.1016/j.matcom.2011.05.008
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    References listed on IDEAS

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    1. Shu, Yonglu & Xu, Hongxing & Zhao, Yunhong, 2009. "Estimating the ultimate bound and positively invariant set for a new chaotic system and its application in chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 2852-2857.
    2. 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.
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