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Cluster Synchronization for Discrete-Time Complex Networks

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Advances in Neural Networks – ISNN 2011 (ISNN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6675))

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Abstract

This paper investigates cluster synchronization in discrete-time complex networks with both discrete and distributed time-varying delays. By utilizing a special coupling matrix and the Kronecker product, it is shown that the addressed discrete-time complex networks is achieved cluster synchronization if certain linear matrix inequality (LMI) is feasible. Finally, an example is given to demonstrate the effectiveness of the proposed criterion.

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Author information

Authors and Affiliations

  1. College of Information Science & Engineering, Chongqing Jiaotong University, Chongqing, 400074, China

    Huiwei Wang

  2. Department of Mathematics, Chongqing Jiaotong University, Chongqing, 400074, China

    Qiankun Song

Authors
  1. Huiwei Wang
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  2. Qiankun Song
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Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Shenyang, Northeastern University, 110004, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, RI 02881, Kingston, USA

    Haibo He

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© 2011 Springer-Verlag Berlin Heidelberg

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Wang, H., Song, Q. (2011). Cluster Synchronization for Discrete-Time Complex Networks. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_28

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  • DOI: https://doi.org/10.1007/978-3-642-21105-8_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21104-1

  • Online ISBN: 978-3-642-21105-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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