TITLE:
Finite-Time Synchronization for Heterogeneous Complex Networks with Time-Varying Delays
AUTHORS:
Yicong Ma, Yali Tai
KEYWORDS:
Finite-Time Synchronization, Heterogeneous, Time-Varying Delays, Uncertain Disturbance
JOURNAL NAME:
Applied Mathematics,
Vol.11 No.10,
October
26,
2020
ABSTRACT: This paper studies the problem of finite-time synchronization for a class of heterogeneous complex networks which not only have node time-varying delays and coupled time-varying delays but also contain uncertain disturbance. An appropriate controller is designed such that this type of network can be synchronized within a finite time. By constructing a proper Lyapunov function and using the finite-time stability theory, the sufficient conditions for the network to achieve finite-time synchronization are given and the finite time is estimated. Finally, the conclusions obtained are extended to the case of homogeneous complex networks with time-varying delays and uncertain disturbance.