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Robust Stability of Uncertain Neural Networks with Time-Varying Delays

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Advances in Neural Networks - ISNN 2008 (ISNN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5263))

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Abstract

This paper is concerned the robust stability analysis problem for neural networks with time-varying delay and time-varying parametric uncertainties. By utilizing a Lyapunov-Krasovskii functional, we show that the addressed neural networks are robustly, asymptotically stable if a convex optimization problem is feasible. A stability criterion is derived and formulated by means of the feasibility of a linear matrix inequality (LMI), which can be effectively solved by some standard numerical packages. Two numerical examples are given to demonstrate the usefulness of the proposed robust stability criterion.

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Author information

Authors and Affiliations

  1. College of Automation, Chongqing University, Chongqing, 40044, China

    Wei Feng

  2. Department of Computer and Modern Education Technology, Chongqing Education College, Chongqing, 400067, China

    Wei Feng, Haixia Wu & Wei Zhang

Authors
  1. Wei Feng
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  2. Haixia Wu
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  3. Wei Zhang
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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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Feng, W., Wu, H., Zhang, W. (2008). Robust Stability of Uncertain Neural Networks with Time-Varying Delays. 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 5263. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87732-5_38

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  • DOI: https://doi.org/10.1007/978-3-540-87732-5_38

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87731-8

  • Online ISBN: 978-3-540-87732-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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