Skip to main content
SpringerLink
Log in

Robust Passivity of Fuzzy Cohen-Grossberg Neural Networks with Time-Varying Delays

  • Conference paper
Mathematical Modelling and Scientific Computation (ICMMSC 2012)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 283))

  • 1728 Accesses

Abstract

In this paper the problem of robust passivity analysis for a class of fuzzy Cohen-Grossberg neural networks with time varying delay is considered. By employing the Lyapunov technique and linear matrix inequality approach, delay independent criterion’s are established for the robust passivity of fuzzy Cohen-Grossberg neural networks. The results are expressed in terms of LMIs, which can be easily solved by the MATLAB LMI toolbox. Finally, a numerical example is given to illustrate the effectiveness of the proposed results.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Balasubramaniam, P., Syed Ali, M.: Stability analysis of Takagi-Sugeno fuzzy Cohen Grossberg BAM neural networks with discrete and distributed time-varying delays. Math. Comput. Model. 53, 151–160 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  2. Chen, Y., Li, W., Bi, W.: Improved results on passivity analysis of uncertain neural networks with time-varying discrete and distributed delays. Neural Process. Lett. 30, 155–169 (2009)

    Article  Google Scholar 

  3. Fu, J., Zhang, H., Ma, T., Zhang, Q.: On passivity analysis for stochastic neural networks with interval time-varying delay. Neurocomputing 73, 795–801 (2010)

    Article  Google Scholar 

  4. Li, H., Gao, H., Shi, P.: New passivity analysis for neural networks with discrete and distributed delays. IEEE Trans. Neural Netw. 21, 1842–1847 (2010)

    Article  Google Scholar 

  5. Lu, C.Y., Tsai, H.H., Su, T.J.: Delay-dependent approach to passivity analysis for uncertain neural networks with time-varying delay. Neural Process. Lett. 27, 237–246 (2008)

    Article  Google Scholar 

  6. Kwon, O.M., Park, J.H.: Exponential stability analysis for uncertain neural networks with interval time-varying delays. Appl. Math. Comput. 212, 530–541 (2009)

    MathSciNet  MATH  Google Scholar 

  7. Sakthivel, R., Arunkumar, A., Mathiyalagan, K., Anthoni, S.M.: Robust passivity analysis of fuzzy Cohen–Grossberg BAM neural networks with time-varying delays. Appl. Math. Comput. 218, 3799–3809 (2011)

    MathSciNet  MATH  Google Scholar 

  8. Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybernet. 15, 116–132 (1985)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Anna University of Technology, Coimbatore, 641 047, India

    A. Arunkumar, K. Mathiyalagan & S. Marshal Anthoni

  2. Department of Mathematics, Sungkyunkwan University, Suwon, 440-746, South Korea

    R. Sakthivel

Authors
  1. A. Arunkumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Mathiyalagan
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Sakthivel
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. Marshal Anthoni
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, Gandhigram Rural University, 624302, Gandhigram, Tamil Nadu, India

    P. Balasubramaniam

  2. Department of Mathematics, Gandhigram Rural Institute - Deemed University, 624302, Gandhigram, Tamil Nadu, India

    R. Uthayakumar

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Arunkumar, A., Mathiyalagan, K., Sakthivel, R., Anthoni, S.M. (2012). Robust Passivity of Fuzzy Cohen-Grossberg Neural Networks with Time-Varying Delays. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28926-2_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28925-5

  • Online ISBN: 978-3-642-28926-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation