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Consecutive Synchronization of a Delayed Complex Dynamical Network via Distributed Adaptive Control Approach

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  • Control Theory and Applications
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Abstract

In this paper, a consecutive synchronization scheme is investigated to synchronize the nodes of a delayed complex dynamical network with an isolated node via an adaptive control approach. The specific feature of this scheme consists in the structure of the communication links: a communication connection is required between the isolated node and one selected node in the network, and further communication links exist between any node and one neighbor node. In this way, all nodes are connected together like a chain. Based on Lyapunov-Krasovskii theory, some conditions are obtained in the form of linear matrix inequalities to guarantee the consecutive synchronization by the designed distributed adaptive control. To make this synchronization scheme more practical, no constraints have been considered for coupling connection matrix such as being symmetric or zero row sum. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Tafresh University, Tafresh, 39518-79611, Iran

    Ali Kazemy

  2. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

  3. School of Electrical Engineering, Nantong University, Nantong, 226000, China

    Jinde Cao

  4. School of Mathematical Sciences, Shandong Normal University, Ji’nan, 250014, China

    Jinde Cao

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  1. Ali Kazemy
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  2. Jinde Cao
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Corresponding author

Correspondence to Jinde Cao.

Additional information

Recommended by Associate Editor M. Chadli under the direction of Editor Jessie (Ju H.) Park. This work was supported by the Jiangsu Provincial Key Laboratory of Networked Collective Intelligence under Grant No. BM2017002.

Ali Kazemy received the M.S. and Ph.D. degrees, both in Electrical Engineering (control branch) from Iran University of Science and Technology (IUST), Tehran, Iran, in 2007 and 2012, respectively. He joined Tafresh University in 2015, where he is currently an Assistant Professor of Electrical Engineering. He is a reviewer of many high-quality journals, including IEEE Transactions on Cybernetics, IEEE Transactions on Neural Networks and Learning Systems, Journal of the Franklin Institute, Journal of Sound and Vibration, Neurocomputing, and Neural Computing and Applications. His current research interests include time-delayed systems analysis and control, complex dynamical networks, multi-agent systems, and active vibration control of structures.

Jinde Cao received the Ph.D. degree in applied mathematics from Sichuan University, Chengdu, China, in 1998. He is an Endowed Chair Professor, the Dean of School of Mathematics and the Director of the Research Center for Complex Systems and Network Sciences at Southeast University. From March 1989 to May 2000, he was with the Yunnan University. In May 2000, he joined the School of Mathematics, Southeast University, Nanjing, China. From July 2001 to June 2002, he was a Postdoctoral Research Fellow at Chinese University of Hong Kong, Hong Kong. Professor Cao was an Associate Editor of the IEEE Transactions on Neural Networks, and Neurocomputing. He is an Associate Editor of the IEEE Transactions on Cybernetics, IEEE Transactions on Cognitive and Developmental Systems, Journal of the Franklin Institute, Mathematics and Computers in Simulation, Cognitive Neurodynamics, and Neural Networks. He is a Fellow of IEEE, a Member of the Academy of Europe, a Member of European Academy of Sciences and Arts and a Foreign Fellow of Pakistan Academy of Sciences. He has been named as Highly-Cited Researcher in Engineering,Computer Science, and Mathematics by Thomson Reuters/Clarivate Analytics. He received the National Innovation Award of China (2017).

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Kazemy, A., Cao, J. Consecutive Synchronization of a Delayed Complex Dynamical Network via Distributed Adaptive Control Approach. Int. J. Control Autom. Syst. 16, 2656–2664 (2018). https://doi.org/10.1007/s12555-017-0718-6

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  • DOI: https://doi.org/10.1007/s12555-017-0718-6

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