Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks  

作　　者：Shuang LIU Runze ZHANG Qingyun WANG XiaoyanHE 

机构地区：[1]Shanghai Engineering Research Center of Physical Vapor Deposition Superhard Coating and Equipment,Shanghai Institute of Technology,Shanghai 201418,China [2]Department of Dynamics and Control,Beihang University,Beijing 100191,China [3]Department of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Huhhot 010070,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2020年第12期1833-1846,共14页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Nos.11602146,11872304,and 11962019);the Science Foundation of Shanghai(No.18ZR1438200);and the Chen Guang Project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation(No.16CG65)。

摘　　要：Based on the topological characteristics of small-world networks,a nonlinear sliding mode controller is designed to minimize the effects of internal parameter uncertainties.To qualify the effects of uncertain parameters in the response networks,some effective recognition rates are designed so as to achieve a steady value in the extremely fast simulation time period.Meanwhile,the Fisher-Kolmogorov and Burgers spatiotemporal chaotic systems are selected as the network nodes for constructing a drive and a response network,respectively.The simulation results confirm that the developed sliding mode could realize the effective synchronization problem between the spatiotemporal networks,and the outer synchronization is still achieved timely even when the connection probability of the small-world networks changes.

关 键 词：SYNCHRONIZATION sliding mode control small-world network parameter identification 

分 类 号：O415.5[理学—理论物理]