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Exponential Stability of Linear Discrete Systems with Multiple Delays

Author

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  • J. Baštinec
  • H. Demchenko
  • J. Diblík
  • D. Ya. Khusainov

Abstract

The paper investigates the exponential stability and exponential estimate of the norms of solutions to a linear system of difference equations with multiple delays , , where , and are square matrices, and . New criterion for exponential stability is proved by the Lyapunov method. An estimate of the norm of solutions is given as well and relations to the well-known results are discussed.

Suggested Citation

  • J. Baštinec & H. Demchenko & J. Diblík & D. Ya. Khusainov, 2018. "Exponential Stability of Linear Discrete Systems with Multiple Delays," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-7, August.
    • Handle: RePEc:hin:jnddns:9703919
    DOI: 10.1155/2018/9703919
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    Cited by:

    1. Fu, Xiaozheng & Zhu, Quanxin, 2020. "Exponential stability of neutral stochastic delay differential equation with delay-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 377(C).

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