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International Symposium on Neural Networks

ISNN 2007: Advances in Neural Networks – ISNN 2007 pp 871–878Cite as

New Global Asymptotic Stability Criterion for Uncertain Neural Networks with Time-Varying and Distributed Delays

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4491))

Abstract

This paper investigates the problem of global asymptoticstability for a class of uncertain neural networks with time-varying and distributed delays. The uncertainties we considered in this paper are norm-bounded, and possibly time-varying. By Lyapunov-Krasovskii functional approach and S-procedure, a new stability criteria for the asymptotic stability of the system is derived in terms of linear matrix inequalities (LMIs). Two simulation examples are given to demonstrate the effectiveness of the developed techniques.

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References

  1. Zhang, H., Li, C., Liao, X.: A Note on the Robust Stability of Neural Networks with Time Delay. Chaos, Solitons & Fractals 25, 357–360 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Xu, S., Lam, J.: A New Approach to Exponential Stability Analysis of Neural Networks with Time-Varying Delays. Neural Networks 19, 76–83 (2006)

    Article  MATH  Google Scholar 

  3. Singh, V.: Global Robust Stability of Delayed Neural Networks: an LMI Approach. IEEE Transactions on Circuits and Systems 52, 33–36 (2005)

    Article  Google Scholar 

  4. Zhang, H., Liao, X.: LMI-Based Robust Stability Analysis of Neural Networks with Time-Varying Delay. Neurocomputing 67, 306–312 (2005)

    Article  Google Scholar 

  5. Liang, J., Cao, J.: Global Asymptotic Stability of Bi-Directional Associative Memory Networks with Distributed Delays. Applied Mathematics and Computation 152, 415–424 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  6. Zhao, H.: Global Asymptotic Stability of Hopfield Neural Network Involving Distributed Delays. Neural Networks 17, 47–53 (2004)

    Article  MATH  Google Scholar 

  7. Wang, Z., Liu, Y., Liu, X.: On Global Asymptotic Stability of Neural Networks with Discrete and Distributed Delays. Physics Letters A 345, 299–308 (2005)

    Article  MATH  Google Scholar 

  8. Lam, J., Gao, H., Wang, C.: H  ∞  Model Reduction of Linear Systems with Distributed Delay. IEE Proceedings-Control Theory And Applications 152, 662–674 (2005)

    Article  Google Scholar 

  9. Cao, J., Ho, D.W.C.: A General Framework for Global Asymptotic Stability Analysis of Delayed Neural Networks Based on LMI Approach. Chaos, Solitons & Fractals 24, 1317–1329 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  10. Gao, H., Lam, J., Xie, L., Wang, C.: New Approach to Mixed H 2 / H  ∞  Filtering for Polytopic Discrete-Time Systems. IEEE Transactions on Signal Processing 53, 3183–3192 (2005)

    Article  MathSciNet  Google Scholar 

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Author information

Authors and Affiliations

  1. College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, P.R. China

    Jiqing Qiu, Jinhui Zhang, Zhifeng Gao & Hongjiu Yang

Authors
  1. Jiqing Qiu
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  2. Jinhui Zhang
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  3. Zhifeng Gao
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  4. Hongjiu Yang
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Editor information

Editors and Affiliations

  1. Department of Electrical and Computer Engineering (M/C 154), University of Illinois at Chicago, 851 S. Morgan Street, 60607-7053, Chicago, IL, USA

    Derong Liu

  2. School of Automation, Southeast University, 210096, Nanjing, China

    Shumin Fei

  3. Laboratory of Complex Systems, Institute of Automation, Chinese Adacemy of Sciences, 100080, Beijing, P. R. China

    Zeng-Guang Hou

  4. School of Information Science and Engineering, Northeast University, Shenyang, 110004, China

    Huaguang Zhang

  5. School of Electrical Engineering, Hohai University, Nanjing, 210098, China

    Changyin Sun

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© 2007 Springer-Verlag Berlin Heidelberg

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Cite this paper

Qiu, J., Zhang, J., Gao, Z., Yang, H. (2007). New Global Asymptotic Stability Criterion for Uncertain Neural Networks with Time-Varying and Distributed Delays. In: Liu, D., Fei, S., Hou, ZG., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4491. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72383-7_101

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  • DOI: https://doi.org/10.1007/978-3-540-72383-7_101

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72382-0

  • Online ISBN: 978-3-540-72383-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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