Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content
Springer Nature Link
Log in

Stochastic Robust Stability Analysis for Markovian Jump Discrete-Time Delayed Neural Networks with Multiplicative Nonlinear Perturbations

  • Conference paper
Advances in Neural Networks - ISNN 2006 (ISNN 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3971))

Included in the following conference series:

  • 80 Accesses

Abstract

The problem of stochastic robust stability for Markovian jump discrete-time delayed neural networks with multiplicative nonlinear perturbation is investigated via Lyapunov stability theory in this paper. Based on the linear matrix inequality (LMI) methodology, a novel analysis approach is developed. The sufficient conditions of stochastically robust stable are given in terms of coupled linear matrix inequalities. The stable criteria represented in LMI setting are less conservative and more computationally efficient than the methods reported in the literature.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Michel, A.N., Farrell, J.A., Porod, W.: Qualitative Analysis of Neural Networks. IEEE Trans. CAS 36(2), 229–243 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  2. Kelly, D.G.: Stability in Contractive Nonlinear Neural Networks. IEEE Trans. Bio. Eng. 37(3), 231–242 (1990)

    Article  Google Scholar 

  3. Liang, X.B., Wang, J.: An Additive Diagonal Stability Condition for Absolute Exponential Stability of a General Class of Neural Networks. IEEE Trans. CAS—I 48, 1308–1317 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  4. Cao, J., Wang, J.: Global Asymptotic and Robust Stability of Recurrent Neural Networks with Time Delays. IEEE Trans. CAS—I 52(2), 417–426 (2005)

    Article  MathSciNet  Google Scholar 

  5. Liao, X., Wong, K.W.: Robust Stability of Interval Bidirectional Associative Memory Neural Network With Time Delays. IEEE Trans. SMC—B 34(2), 1142–1154 (2004)

    Google Scholar 

  6. Feng, C.H., Plamondon, R.: Stability Analysis of Bidirectional Associative Memory NetWorks with Time Delays. IEEE Trans. NN 14(6), 1560–1565 (2003)

    Google Scholar 

  7. Ji, Y., Chizeck, H.J.: Controllability, Stabilizability, and Continuous-Time Markovian Jump Linear Quadratic Control. IEEE Trans. AC 35(7), 777–788 (1990)

    MATH  MathSciNet  Google Scholar 

  8. Feng, X., Loparo, K.A., Ji, Y., et al.: Stochastic Stability Properties of Jump Linear System. IEEE Trans. AC 37(1), 38–53 (1992)

    MATH  MathSciNet  Google Scholar 

  9. Liao, X., Chen, G.R., Sanchez, E.N.: LMI-Based Approach for Asymptotically Stability Analysis of Delayed Neural Networks. IEEE Trans. CAS-I 49(7), 1033–1039 (2002)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Information and Electronic Engineering, Zhejiang University,  

    Li Xie & Jilin Liu

  2. State Key Lab of CAD & CG, Zhejiang University, 310027, Hangzhou, P.R. China

    Guodong Lu

  3. Center for Bioinformatics, HCNR, Harvard Medical School, 02115, Boston, MA, USA

    Tianming Liu & Stephen T. C. Wong

Authors
  1. Li Xie
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tianming Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Guodong Lu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jilin Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Stephen T. C. Wong
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China

    Jun Wang

  2. Computational Intelligence Laboratory, School of Computer Science and Engineering, University of Electronic Science and Technology of China, 610054, Chengdu, P.R. China

    Zhang Yi

  3. Department of Electrical Engineering, University of Louisville, 40292, Louisville, KY, U.S.A

    Jacek M. Zurada

  4. Laboratory for Computational Biology, Shanghai Center for Systems Biomedicine, 800 Dong Chuan Rd., 200240, Shanghai, China

    Bao-Liang Lu

  5. School of Electrical and Electronic Engineering, University of Manchester, UK

    Hujun Yin

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xie, L., Liu, T., Lu, G., Liu, J., Wong, S.T.C. (2006). Stochastic Robust Stability Analysis for Markovian Jump Discrete-Time Delayed Neural Networks with Multiplicative Nonlinear Perturbations. In: Wang, J., Yi, Z., Zurada, J.M., Lu, BL., Yin, H. (eds) Advances in Neural Networks - ISNN 2006. ISNN 2006. Lecture Notes in Computer Science, vol 3971. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11759966_26

Download citation

  • DOI: https://doi.org/10.1007/11759966_26

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34439-1

  • Online ISBN: 978-3-540-34440-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation