Finite‐Time Synchronization of Complex Multilinks Networks with Perturbations and Time‐Varying Delay Based on Nonlinear Adaptive Controller
Lixiang Li, Qingbiao Liu, Tao Li · Mathematical Problems in Engineering · 2019
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.