Author(s)

Yicong Ma¹, Yali Tai²

¹School of Science, Jimei University, Xiamen, China.
²Chengyi University College, Jimei University, Xiamen, China.

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.

Finite-Time Synchronization, Heterogeneous, Time-Varying Delays, Uncertain Disturbance

Ma, Y. and Tai, Y. (2020) Finite-Time Synchronization for Heterogeneous Complex Networks with Time-Varying Delays. Applied Mathematics, 11, 1000-1012. doi: 10.4236/am.2020.1110066.