Fixed-Time Outer Synchronization of Complex Networks with Noise Coupling

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2018,（3）
• 页码范围: 271-279
• 页数: 9页
• 语种: 英文
• DOI: 10.1088/0253-6102/69/3/271

摘要

In this paper,the fixed-time outer synchronization of complex networks with noise coupling is investigated.Based on the theory of fixed-time stability and matrix inequalities,sufficient conditions for fixed-time outer synchronization are established and the estimation of the upper bound of the setting time is obtained.The result shows that the setting time can be adjusted to a desired value regardless of the initial states.Numerical simulations are performed to verify the effectiveness of the theoretical results.The effects of control parameters and the density of controlled nodes on the converging time are studied.