Topology identification of complex delayed dynamical networks with multiple response systems
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This paper proposes an approach to identify the topological structure and unknown parameters for one drive and multiple response complex delayed networks. We achieve synchronization by designing effective controllers not only among one drive and multiple response complex delayed networks, but also between multiple response complex delayed networks. The unknown network topological structure and system parameters of multiple uncertain response complex delayed networks are identified simultaneously in the process of synchronization. Several synchronization criteria are obtained. Finally, an illustrative example is presented to demonstrate the application of the theoretical results.
KeywordsComplex delayed networks Synchronization Topology identification Multiple response networks
The authors would like to thank the referees and the editor for their valuable comments and suggestions, which have led to a better presentation of this paper. This work was supported by the National Natural Science Foundation of China (61673221, 61673257), the Youth Fund Project of the Humanities and Social Science Research for the Ministry of Education of China (14YJCZH173), Top-notch Academic Programs Project of Jiangsu Higher Education Institutions (Jiangsu Province Office, no. 1, PPZY2015B104), the Major Natural Science Research Projects of Jiangsu Higher Education Institutions (12KJA630001), the Key Laboratory of Financial Engineering of Jiangsu Province (NSK2015-16), the Science and Technology Research Key Program for the Education Department of Hubei Province of China (D20156001), and Applied Economics Advantage Subject Construction Project of Jiangsu Higher Education Institutions (Jiangsu Province Office, no.  37).
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