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Robust synchronization of dynamical network with impulsive disturbances and uncertain parameters

  • Control Theory
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Abstract

In this paper, we investigate robust global exponential synchronization of an impulsive complex dynamical network with uncertain parameters. The new impulse proposed is added on the coupled states and is relative not only with the coupled states at the current impulsive time instants but also with ones at the previous impulsive time instants. Some sufficient conditions are derived to ensure robust exponential synchronization of the presented impulsive dynamical network by using the stability analysis for impulsive delay systems. The obtained results extend the existed ones. A numerical example is finally exploited to show the effectiveness of the obtained results.

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Author information

Authors and Affiliations

  1. Research Center for Complex Systems and Network Sciences, and Department of Mathematics, Southeast University, Nanjing, 210096, P. R. China

    Cong Zheng & Jinde Cao

  2. Department of Mathematics, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Jinde Cao

Authors
  1. Cong Zheng
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  2. Jinde Cao
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Corresponding author

Correspondence to Jinde Cao.

Additional information

Recommended by Editorial Board member Do Wan Kim under the direction of Editor Zengqi Sun.

This work was jointly supported by the National Natural Science Foundation of China (NSFC) under Grants Nos. 61272530 and 11072059, the Natural Science Foundation of Jiangsu Province of China under Grants No. BK2012741, and Specialized Research Fund for the Doctoral Program of Higher Education under Grant No. 20110092110017.

Cong Zheng received her B.S. degree in Mathematics from Henan University, Kaifeng, China, and her M.S. degree in Fundamental Mathematics from Southeast University, Nanjing, China, in 2000 and 2003, respectively. She is a Ph.D. candidate with applied mathematics, Southeast University, China. Her research interests include neural networks, complex dynamical networks, control theory, multi-agent systems and the fractional calculus theory.

Jinde Cao received his B.S. degree from Anhui Normal University, Wuhu, China, an M.S. degree from Yunnan University, Kunming, China, and a Ph.D. degree from Sichuan University, Chengdu, China, all in Mathematics/Applied Mathematics, in 1986, 1989, and 1998, respectively. He is now a Professor in the Department of Mathematics, Southeast University, Nanjing, China. His current research interests include neural networks, complex systems and complex networks. Dr. Cao was an Associate Editor of the IEEE Transactions on Neural Networks and Neurocomputing. He is an Associate Editor of the Journal of the Franklin Institute, Mathematics and Computers in Simulation, Discrete Dynamics in Nature and Society, International Journal of Differential Equations, Abstract and Applied Analysis, Journal of Applied Mathematics, Neural Networks, and Differential Equations and Dynamical Systems. He is a reviewer of the Mathematical Reviews and Zentralblatt-Math.

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Zheng, C., Cao, J. Robust synchronization of dynamical network with impulsive disturbances and uncertain parameters. Int. J. Control Autom. Syst. 11, 657–665 (2013). https://doi.org/10.1007/s12555-013-0014-z

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  • DOI: https://doi.org/10.1007/s12555-013-0014-z

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