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

Shang Gao, Keyu Peng and Chunrui Zhang

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

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.

Keywords: Periodic solutions; Exponential stability; Feedback control; Complex dynamical networks; Time-varying delays (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921008377

DOI: 10.1016/j.chaos.2021.111483

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