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Stochastic Robust Stability Analysis for Markovian Jump Neural Networks with Time Delay

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Book cover Advances in Natural Computation (ICNC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3610))

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Abstract

The problem of stochastic robust stability analysis for Markovian jump neural networks with time delay has been investigated via stochastic stability theory. The neural network under consideration is subject to norm-bounded stochastic nonlinear perturbation. The sufficient conditions for robust stability of Markovian jumping stochastic neural networks with time delay have been developed for all admissible perturbations. All the results are given in terms of linear matrix inequalities.

This work was supported by Chinese Nature Science Foundation (60473129).

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References

  1. Michel, A.N., Farrell, J.A., Porod, W.: Qualitative analysis of neural networks. IEEE Trans. CAS 36, 229–243 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  2. Feng, X., Loparo, K.A., Ji, Y.: Stochastic stability properties of jump linear system. IEEE Trans. AC 37, 38–53 (1992)

    MATH  MathSciNet  Google Scholar 

  3. Liao, X., Chen, G.R., Sanchez, E.N.: LMI-Based Approach for Asymptotically Stability Analysis of Delayed Neural Networks. IEEE Trans. CAS-I 49, 1033–1039 (2002)

    Article  MathSciNet  Google Scholar 

  4. Liao, X., Chen, G.R., Sanchez, E.N.: Delay-Dependent Exponential Stability Analysis of Delayed Neural Networks: An LMI Approach. Neural Network 15, 855–866 (2002)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Information and Electronic Engineering, Zhejiang University, 310027, Hangzhou, P.R.China

    Li Xie

Authors
  1. Li Xie
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. School of Software, Sun Yat-Sen University, 510275, Guangzhou, China

    Ke Chen

  3. School of Computer Engineering, Nanyang Technological University, BLK N4, 2b-39, Nanyang Avenue, 639798, Singapore

    Yew Soon Ong

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© 2005 Springer-Verlag Berlin Heidelberg

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Xie, L. (2005). Stochastic Robust Stability Analysis for Markovian Jump Neural Networks with Time Delay. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539087_49

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  • DOI: https://doi.org/10.1007/11539087_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28323-2

  • Online ISBN: 978-3-540-31853-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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