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Recent progress in impulsive control systems


  • Yang, Xueyan
  • Peng, Dongxue
  • Lv, Xiaoxiao
  • Li, Xiaodi


This paper overviews the research investigations pertaining to impulsive control systems (ICSs). We focus on the fundamental results and recent progress of ICSs. After reviewing the relative literature, this paper will provide a comprehensive and intuitive overview of ICSs. Six aspects of ICSs are surveyed including basic theory, Lyapunov stability, delayed ICSs, input-to-state stability (ISS), finite-time control, and state-dependent impulses. Based on this, the paper provides a reference for further research on ICSs.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:matcom:v:155:y:2019:i:c:p:244-268
    DOI: 10.1016/j.matcom.2018.05.003

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    References listed on IDEAS

    1. Li, Xiaodi & Shen, Jianhua & Rakkiyappan, R., 2018. "Persistent impulsive effects on stability of functional differential equations with finite or infinite delay," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 14-22.
    2. Quanxin Zhu & Fubao Xi & Xiaodi Li, 2012. "Robust Exponential Stability of Stochastically Nonlinear Jump Systems with Mixed Time Delays," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 154-174, July.
    3. Peng Li & Xiaodi Li & Jinde Cao, 2018. "Input-to-State Stability of Nonlinear Switched Systems via Lyapunov Method Involving Indefinite Derivative," Complexity, Hindawi, vol. 2018, pages 1-8, January.
    4. Wenjun Xiong & Dan Zhang & Jinde Cao, 2017. "Impulsive synchronisation of singular hybrid coupled networks with time-varying nonlinear perturbation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 417-424, January.
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    Cited by:

    1. Wang, Yaqi & Lu, Jianquan & Cao, Jinde & Huang, Wei & Guo, Jianhua & Wei, Yun, 2020. "Input-to-state stability of the road transport system via cyber–physical optimal control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 3-12.
    2. Dr. Kyriazopoulos Georgios & Thanou Efthymia, 2020. "Mergers and Acquisitions and how they affect the Labor productivity. Evidence from the Greek Banking system," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 10(2), pages 1-3.
    3. He, Zhilong & Li, Chuandong & Li, Hongfei & Zhang, Qiangqiang, 2020. "Global exponential stability of high-order Hopfield neural networks with state-dependent impulses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
    4. 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.

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