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H ∞  Synchronization of General Discrete-Time Chaotic Neural Networks with Time Delays

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5551))

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Abstract

This paper investigates robust H ∞  synchronization problem of general discrete-time time-delayed chaotic neural networks with external disturbance. Based on Lyapunov stability theory and H ∞  control concept, time-delayed state feedback controllers are established to not only guarantee exponential stable synchronization between two general chaotic neural networks with time delays, but also reduce the effect of external disturbance on synchronization error to a minimal H ∞  norm constraint. The control design problem is shown to be a linear matrix inequality (LMI) standard problem which can be easily solved by various convex optimization algorithms to determine the optimal H ∞  synchronization control law.

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Author information

Authors and Affiliations

  1. College of Electrical Engineering, Zhejiang University, Hangzhou, 310027, China

    Meiqin Liu & Senlin Zhang

  2. Department of Electrical Engineering, University of New Orleans, New Orleans, LA 70148, USA

    Meiqin Liu & Meikang Qiu

Authors
  1. Meiqin Liu
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  2. Senlin Zhang
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  3. Meikang Qiu
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, NJ 07030, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, Rapid City, SD 57701, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Liu, M., Zhang, S., Qiu, M. (2009). H ∞  Synchronization of General Discrete-Time Chaotic Neural Networks with Time Delays. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5551. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01507-6_43

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  • DOI: https://doi.org/10.1007/978-3-642-01507-6_43

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01506-9

  • Online ISBN: 978-3-642-01507-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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