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

Yiping Luo,Yuejie Yao

doi:10.1186/s13662-020-2508-3

Yiping Luo, Yuejie Yao

Open Access

https://doi.org/10.1186/s13662-020-2508-3

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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.

Highlights

Many real-world systems, such as a communication system that consists of opulent interacting, interdependent components that are used to accomplish a unified goal of transmitting and receiving signals, can be described using complex network models
Given the above-mentioned analysis, the present study investigates the finite-time synchronization problems for uncertain complex dynamical networks with time-varying delays
3 Main results This section focuses on the finite-time synchronization of the complex dynamic network (1) with the control input (4), and some sufficient conditions can be obtained from the following theorems to ensure that the time-varying delay system (1) achieves finite-time synchronization

Summary

Introduction

Many real-world systems, such as a communication system that consists of opulent interacting, interdependent components that are used to accomplish a unified goal of transmitting and receiving signals, can be described using complex network models. The finite-time synchronization of uncertain complex dynamical networks with time-varying delay must be investigated in theoretical and practical applications. Given the above-mentioned analysis, the present study investigates the finite-time synchronization problems for uncertain complex dynamical networks with time-varying delays.

Results

Conclusion