Finite-time synchronization of uncertain complex dynamic networks with time-varying delay

Abstract

This study investigates the finite-time synchronization of uncertain nonlinear complex dynamic networks with time-varying delay. For a class of complex network models with time-varying delay and uncertain system parameters, the time delay changes infrequently, uncertain terms are unknown but bounded, and the matching conditions are satisfied. The coupling relationship between nodes is a nonlinear function with time delay, and the function satisfies the Lipschitz condition. A new criterion for the finite-time synchronization of a class of complex dynamical networks with variable delay is obtained, and the upper bound of the time for the system to achieve synchronization is presented by constructing a suitable Lyapunov-Krasovskii function, designing a nonlinear controller, and combining analysis techniques, such as matrix inequality. Finally, the validity of finite-time synchronization is verified through computer simulation.

Synchronizing Complex Networks on Time Scales: An Impulse-Quantizing multi-group Strategy

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Distributed Event-Triggered Output Synchronization of Complex-Valued Memristive Reaction-Diffusion Complex Networks with Spatial Sampled-Data

“…As an important collective dynamical behaviour, synchronization means that the states of complex networks are always consistent over time. Many crucial results about the synchronization of CNNs have been achieved in literatures [4][5][6][7]. For instance, Bai and Xu [4] studied the synchronization of CNNs with hybrid coupling, Luo and Yao [5] investigated the finite-time synchronization of uncertain complex dynamic networks, Wang et al [6] researched the synchronization of coupled CNNs via the pinning method, and Ding et al [7] considered the impulsive synchronization of complex networks.…”