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Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays

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  • Gao, Shang
  • Peng, Keyu
  • Zhang, Chunrui

Abstract

This paper focuses on the existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays (FCCDND). Combining the continuation theorem of coincidence degree theory, a combinatorial identity about Kirchhoff’s matrix tree theorem in graph theory, and Lyapunov method, a novel method is established to investigate the existence and global exponential stability of periodic solutions for FCCDND. Finally, the effectiveness and practicability of our results are illustrated by a numerical example and its simulation.

Suggested Citation

  • Gao, Shang & Peng, Keyu & Zhang, Chunrui, 2021. "Existence and global exponential stability of periodic solutions for feedback control complex dynamical networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921008377
    DOI: 10.1016/j.chaos.2021.111483
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    References listed on IDEAS

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    Cited by:

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