Analysis and pinning control for generalized synchronization of delayed coupled neural networks with different dimensional nodes

作者：Huang, Yanli; Chen, Weizhong; Ren, Shunyan; Zheng, Zewei^*

来源：Journal of the Franklin Institute, 2018, 355(13): 5968-5997.

DOI：10.1016/j.jfranklin.2018.05.055

• COMPLEX DYNAMICAL NETWORKS
• EXPONENTIAL STABILITY ANALYSIS
• EXTENDED DISSIPATIVITY
• CLUSTER SYNCHRONIZATION
• ROBUST SYNCHRONIZATION
• STABILIZATION
• CRITERIA
• ARRAY

This paper investigate the generalized synchronization and pinning adaptive generalized synchronization for delayed coupled different dimensional neural networks with hybrid coupling, respectively. First, some sufficient conditions for reaching the generalized synchronization and pinning generalized synchronization of the considered network are acquired by using some inequality techniques and Lyapunov functional method. Second, because the precise parameter values of network cannot be obtained in some situations, we also purse the study on the generalized synchronization analysis and pinning con-trol for the case of coupled different dimensional neural networks with parameter uncertainties. Third, two numerical examples are provided for substantiating the effectiveness of the derived results.

• 出版日期2018-9
• 单位天津工业大学; 北京航空航天大学; 广西民族大学