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Analysis and pinning control for generalized synchronization of delayed coupled neural networks with different dimensional nodes
Authors:Yanli Huang  Weizhong Chen  Shunyan Ren  Zewei Zheng
Institution:1. School of Computer Science and Software Engineering, Tianjin Key Laboratory of Optoelectronic Detection Technology and System, Tianjin Polytechnic University, Tianjin 300387, China;2. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Guangxi University for Nationalities, Nanning 530006, China;3. School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin 300387, China;4. School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191, China
Abstract: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 control 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.
Keywords:Corresponding author at: School of Automation Science and Electrical Engineering  Beihang University  Bejing 100191  China  Tel  no  +86-010-82339250  +8613810169771
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