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.

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