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Robust Stability of Switched Recurrent Neural Networks with Discrete and Distributed Delays under Uncertainty

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Advances in Neural Networks - ISNN 2008 (ISNN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5264))

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Abstract

With the rapid development of intelligent control, switched systems have attracted great attention. In this letter, we try to introduce the idea of the switched systems into the field of recurrent neural networks (RNNs) with discrete and distributed delays under uncertainty which is considered to be norm bounded. At first, we establish the mathematical model of the switched RNNs in which a set of RNNs are used as the subsystems and an arbitrary switching rule is assumed. Secondly, for this kind of systems, robust analysis which is based on the Lyapunov-Krasovii approach is addressed, and for all admissible parametric uncertainties, some criteria which are derived in terms of a series of strict LMIs are presented to guarantee the switched RNNs to be globally exponentially stable. Finally, a specific example is shown to illustrate the applicability of the methodology.

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Author information

Authors and Affiliations

  1. School of Automation, Wuhan University of Technology, Wuhan, Hubei, 430070, China

    Shiping Wen, Zhigang Zeng & Lingfa Zeng

Authors
  1. Shiping Wen
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  2. Zhigang Zeng
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  3. Lingfa Zeng
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Technology, Tsinghu University, 100084, Beijing, China

    Fuchun Sun

  2. Institute TAMS (Technical Aspects of Multimodal Systems), department of Informatics, University of Hamburg, Vogt-Koelln-Straße 30, 22527, Hamburg, Germany

    Jianwei Zhang

  3. Intel China Research Center, 8/F, Peking University, Department of Machine Intelligence, 100871, Beijing, China

    Ying Tan

  4. Department of Mathematics, Southeast University, 210096, Nanjing, China

    Jinde Cao

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

    Wen Yu

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© 2008 Springer-Verlag Berlin Heidelberg

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Wen, S., Zeng, Z., Zeng, L. (2008). Robust Stability of Switched Recurrent Neural Networks with Discrete and Distributed Delays under Uncertainty. In: Sun, F., Zhang, J., Tan, Y., Cao, J., Yu, W. (eds) Advances in Neural Networks - ISNN 2008. ISNN 2008. Lecture Notes in Computer Science, vol 5264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87734-9_82

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  • DOI: https://doi.org/10.1007/978-3-540-87734-9_82

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87733-2

  • Online ISBN: 978-3-540-87734-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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