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Adaptive Pinning Synchronization of Complex Networks with Negative Weights and Its Application in Traffic Road Network

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  • Control Theory and Applications
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Abstract

As local traffic congestion and uncertainty factors existing on roads may lead to cascading failures or even large area traffic network congestion, a pinning control method is proposed to divert the traffic and then restore the smooth flow of traffic. To eliminate the impacts of uncertainties and negative weights for the traffic network performance, the adaptive pinning control and coupling adjustment strategies are designed to estimate controller parameters and adjust coupling strength to compensate for the impacts on the pinned nodes and unpinned nodes. Based on Lyapunov stability theory, adaptive pinning controllers and network adjusters are developed to guarantee the achievement of network synchronization even in the presence of the uncertainties and negative weights. In addition, we investigate the effects of the type of nodes on pinning synchronization performance. Numerical simulations show that if the network’s degree and the single node energy index are considered, better synchronization performance can be obtained by comparing with the pervious pinning schemes.

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Author information

Authors and Affiliations

  1. Key Laboratory of Manufacturing Industrial Integrated Automation, Shenyang University, Shenyang, Liaoning, 110044, China

    Dan Wang & Wei-Wei Che

  2. College of Economics and Management, Shandong University of Science and Technology, Qingdao, Shandong, 266590, China

    Hao Yu

  3. College of Information Engineering, Shenyang University, Shenyang, Liaoning, 110004, China

    Jia-Yang Li

Authors
  1. Dan Wang
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  2. Wei-Wei Che
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  3. Hao Yu
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  4. Jia-Yang Li
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Corresponding authors

Correspondence to Dan Wang or Hao Yu.

Additional information

Recommended by Associate Editor Sing Kiong Nguang under the direction of Editor Hamid Reza Karimi. This work is partially supported by the Young Scientists Fund of the National Natural Science Foundation of China (No. 61203152), the National Natural Science Foundation of China (No. 61473195, No. 51574157), the Program for Liaoning Excellent Talents in University (LNET) (No. LJQ2013122) and the Natural Science Foundation of Liaoning Province (No. 2015020037).

DanWang received her B.S. degree in Automatic from Shenyang University, China, in 2002, her M.S. and Ph.D. degrees in Control Theory and Control Engineering from Northeastern University, China, in 2006 and 2009, respectively. Her research interests include complex networks and nonlinear controls.

Wei-wei Che received her B.S. degree in mathematics and applied mathematics in 2002 from Jinzhou Normal University, China; an M.S. degree in applied mathematics in 2005 from Bohai University, China; a Ph.D. degree in control engineering from Northeastern University, China, in 2008. Her research interest includes non-fragile control as well as quantization control and their applications to networked control system design.

Hao Yu received his B.S. degree in Industrial Economy from Harbin University of Science and Technology, Harbin, China, in 2001, his M.S. and Ph.D. degrees in Control Theory and Control Engineering from Northeastern University, China, in 2006 and 2013, respectively. His research include dynamics of network system, network control systems and supply network system.

Jia-Yang Li received the B.S. degree in Computer Technology from Huaqiao University, China, in 2002, and her M.S. degree in Business Management from Huaqiao University, Shenyang, China, in 2006. Her research interests include intelligent transportation and emergency evacuation management.

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Wang, D., Che, WW., Yu, H. et al. Adaptive Pinning Synchronization of Complex Networks with Negative Weights and Its Application in Traffic Road Network. Int. J. Control Autom. Syst. 16, 782–790 (2018). https://doi.org/10.1007/s12555-017-0161-8

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  • DOI: https://doi.org/10.1007/s12555-017-0161-8

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