Adaptive Finite-Time Mixed Interlayer Synchronization of Two-Layer Complex Networks with Time-Varying Coupling Delay

被引：8
|
作者：
Tang, Xiaoyun [1 ]
Yang, Zhanying [1 ]
Zhang, Jie [1 ]
机构：
[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷
基金：
中国国家自然科学基金;
关键词：
SWITCHED SYSTEMS;
D O I：
10.1155/2018/7025404
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is concerned with two-layer complex networks with unidirectional interlayer couplings, where the drive and response layer have time-varying coupling delay and different topological structures. An adaptive control scheme is proposed to investigate finite-time mixed interlayer synchronization (FMIS) of two-layer networks. Based on the Lyapunov stability theory, a criterion for realizing FMIS is derived. In addition, several sufficient conditions for realizing mixed interlayer synchronization are given. Finally, some numerical simulations are presented to verify the correctness and effectiveness of theoretical results. Meanwhile, the proposed adaptive control strategy is demonstrated to be nonfragile with the noise perturbation.
引用
收藏
页数：10
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