Synchronization analysis of heterogeneous dynamical networks

Authors:
Wangli He;Wenli Du;Feng Qian;Jinde Cao
Affiliations:
The Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China;The Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China;The Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China;Department of Mathematics, Southeast University, Nanjing 210096, China
Venue:
Neurocomputing
Year:
2013

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Abstract

This paper investigates the synchronization problem over heterogeneous dynamical networks, in which nonidentical dynamical systems coexist. By introducing a virtual target, synchronization with an error level, called quasi-synchronization, is analyzed in asymmetric and symmetric networks, respectively. Some sufficient quasi-synchronization conditions are presented and explicit expressions of error levels are derived to estimate the synchronization error. Finally, two networks with six different Chua's circuits are provided to verify the theoretical results.