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Controllability of impulsive matrix Lyapunov systems

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  • Dubey, Bhaskar
  • George, Raju K.

Abstract

In this paper, we establish some sufficient conditions for the complete controllability of linear and semilinear impulsive matrix Lyapunov systems. For the semilinear systems, we assume that nonlinearities are Lipschitz type or monotone type. Few illustrative examples are given to compare and substantiate the results of the paper.

Suggested Citation

  • Dubey, Bhaskar & George, Raju K., 2015. "Controllability of impulsive matrix Lyapunov systems," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 327-339.
    • Handle: RePEc:eee:apmaco:v:254:y:2015:i:c:p:327-339
    DOI: 10.1016/j.amc.2014.12.134
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    Cited by:

    1. Cao, Yueju & Sun, Jitao, 2017. "Controllability of measure driven evolution systems with nonlocal conditions," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 119-126.
    2. 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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