Finite-Time Synchronization of Complex Multilinks Networks with Perturbations and Time-Varying Delay Based on Nonlinear Adaptive Controller

Lixiang Li, Qingbiao Liu and Tao Li

Mathematical Problems in Engineering, 2019, vol. 2019, 1-12

Abstract:

This paper utilizes nonlinear adaptive feedback controller to make the complex multilinks networks with perturbations and time-varying delays achieve the finite-time synchronization. By designing nonlinear controllers, we use suitable Lyapunov functions and sufficient conditions to guarantee the finite-time synchronization between the drive system and the response system in terms of adaptive control. Several novel and useful finite-time synchronization criteria are accurately derived based on linear matrix inequality, Kronecker product, inequality analytical technique, and finite-time stability theory. Finally, numerical examples are given to demonstrate the validity and the effectiveness of our theoretical results.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7656820

DOI: 10.1155/2019/7656820

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