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

• Main Authors: Yiping Luo, Yuejie Yao
• Format: Article
• Language: English
• Published: SpringerOpen 2020-01-01
• Series: Advances in Difference Equations
• Subjects: Complex network; Time-varying delay; Uncertainty; Nonlinear coupling; Finite-time synchronization
• Online Access: https://doi.org/10.1186/s13662-020-2508-3

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.