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On controllability and observability of impulsive control systems with delayed impulses

Author

Listed:
  • Wu, Shuchen
  • Sun, Xiaohui
  • Li, Xiaodi
  • Wang, Haipeng

Abstract

In this paper, the problem of controllability and observability for a class of impulsive control systems with delayed impulses is studied. Based on impulsive control theory, several sufficient and necessary conditions of controllability and observability are established analytically. A numerical example is presented to show the effectiveness of the proposed results.

Suggested Citation

  • Wu, Shuchen & Sun, Xiaohui & Li, Xiaodi & Wang, Haipeng, 2020. "On controllability and observability of impulsive control systems with delayed impulses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 65-78.
    • Handle: RePEc:eee:matcom:v:171:y:2020:i:c:p:65-78
    DOI: 10.1016/j.matcom.2019.03.013
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    References listed on IDEAS

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    1. Bowen Li & Jungang Lou & Yang Liu & Zhen Wang, 2019. "Robust Invariant Set Analysis of Boolean Networks," Complexity, Hindawi, vol. 2019, pages 1-8, February.
    2. Dubey, Bhaskar & George, Raju K., 2015. "Controllability of impulsive matrix Lyapunov systems," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 327-339.
    3. Yang, Xueyan & Peng, Dongxue & Lv, Xiaoxiao & Li, Xiaodi, 2019. "Recent progress in impulsive control systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 244-268.
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    Cited by:

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    2. Alexander Tselykh & Vladislav Vasilev & Larisa Tselykh & Fernando A. F. Ferreira, 2022. "Influence control method on directed weighted signed graphs with deterministic causality," Annals of Operations Research, Springer, vol. 311(2), pages 1281-1305, April.

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