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Generalized and Exponential Synchronization for a Class of Novel Complex Dynamic Networks with Hybrid Time-varying Delay via IPAPC

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  • Intelligent Control and Applications
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Abstract

This paper introduced a new class of Complex Dynamic Networks (CDNs) with hybrid Time-Varying Delay (TVD) and Non-Time-Varying Delay (NTVD) nodes. Exponential Synchronization (ES) and Generalized Synchronization(GS) problems are studied by using a novel coupling Intermittent Periodically Adaptive Pinning Control (IPAPC) with these CDNs. Meanwhile, IPAPC has new characteristics with three switched intervals in every period. Based on IPAPC method, Kronecker product rules and Lyapunov Stability Theory (LST), necessary and sufficient conditions for ES and GS with IPAPC criteria of such CDNs have been deduced theoretically. Moreover, to verify the practicability and effectiveness of the proposed theoretical results and method, Nearest-Neighbor Network (NNN) and Barabási-Albert Network (BAN) consisting of coupled delay and non-delayed Lee chaotic attractor are finally given as the examples.

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Author information

Authors and Affiliations

  1. School of Logistics Engineering, Wuhan University of Technology, Wuhan, 430063, China

    Lin Pan & Xin Tang

  2. Department of Biomedical Engineering, National University of Singapore, Singapore, 117583, Singapore

    Yongping Pan

Authors
  1. Lin Pan
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  2. Xin Tang
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  3. Yongping Pan
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Corresponding author

Correspondence to Xin Tang.

Additional information

Recommended by Associate Editor M. Chadli under the direction of Editor Myo Taeg Lim. This work was supported by the Chinese Fundamental Research Funds for the Central Universities (No.20410763, 20410956), ESI Program of WHUT, China (No.35400766) and Research Programs of Singapore.

Lin Pan received the M.Sc. degree in Applied Mathematics from Wuhan University of Technology, Wuhan, China, in 2007 and the Ph.D. degree in Control engineering from the Donghua University, Shanghai, China, in 2010 (Sino-German joint Ph.D. FernUniversität in Hagen, Germany). From 2011 to 2012, he was a Post-Doctoral Trainee with King Saud University, Riyadh, Saudi Arabia. From 2013 to 2016, he was with SnT-Interdisciplinary Centre for Security, Reliability and Trust, University of Luxembourg, Luxembourg, as a Marie Curie Fellow and Senior Researcher. Since 2016, he is with School of Logistics Engineering, Wuhan University of Technology, Wuhan, China, as a Professor. His current research interests include Control of Large-Scale Port Wind Farms, Control of Shore-to-ship Power Supply System in Port, Control of Complex Dynamic Network System and Multi-Agent Systems.

Xin Tang is an Associate Professor at School of Logistics Engineering, Wuhan University of Technology, Wuhan. He holds a Ph.D. in Computer Science from the University François Rabelais (Tours, France). During 2013–2015, he was a Post–Doctoral Fellow at Mines Nantes Graduate School of Engineering. His interests revolve around discrete mathematics: combinatorial optimization, network design and multi-agent systems.

Yongping Pan received his Ph.D. in control theory and control engineering from the South China University of Technology, Guangzhou, China in 2011. From 2007 to 2008, he was a Control Engineer in Santak Electronic Co., Ltd., US Eaton Group, Shenzhen, China, and US Light Engineering Co., Ltd., Guangzhou. From 2011 to 2013, he was a Research Fellow of the School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. He is currently a Senior Research Fellow in the Department of Biomedical Engineering, National University of Singapore, Singapore. He has authored or co-authored more than 60 peer-reviewed academic papers, including over 40 in reputable journals. His research interests cover automatic control, computational intelligence, and intelligent robotics, where he is currently focusing on biomimetic adaptive and learning control with applications to exoskeleton robots. During the postgraduate period, he received several important honors and awards, including the Rockwell Automation Master Scholarship, the Postgraduate Academic Award, the Innovation Fund of Excellent Doctoral Dissertations, and the Excellent Graduate Student Award. He has been an Associate Editor or Editorial Board Member of several referred international journals. He also serves as a Reviewer for over 40 international journals.

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Pan, L., Tang, X. & Pan, Y. Generalized and Exponential Synchronization for a Class of Novel Complex Dynamic Networks with Hybrid Time-varying Delay via IPAPC. Int. J. Control Autom. Syst. 16, 2501–2517 (2018). https://doi.org/10.1007/s12555-017-0771-1

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  • DOI: https://doi.org/10.1007/s12555-017-0771-1

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