Skip to main content
SpringerLink
Log in

Dynamic of Cohen-Grossberg Neural Networks with Variable Coefficients and Time-Varying Delays

  • Conference paper
Advances in Neural Networks - ISNN 2008 (ISNN 2008)

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

Included in the following conference series:

  • 3022 Accesses

Abstract

In this paper, we study the Cohen-Grossberg neural networks with variable coefficients and time-varying delays. By applying the Young inequality technique, Dini derivative and introducing many real parameters, estimate directly the upper bound of solutions. We will establish new and useful criteria on the boundedness and global exponential stability. The results obtained in this paper extend and generalize the corresponding results existing in previous literature.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. Cao, J., Li, X.: Stability in Delayed Cohen-Grossberg Neural Networks: LMI Optimization Approach. Physica D 212, 54–65 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  2. Cao, J., Liang, J.: Boundedness and Stability for Cohen-Grossberg Neural Networks with Time-Varying Delays. J. Math. Anal. Appl. 296, 665–685 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  3. Chen, T., Rong, L.: Delay Independent Stability Analysis of Cohen-Grossberg Neural Networks. Phys. Lett. A 317, 436–449 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  4. Lu, W., Chen, T.: New Conditions on Global Stability of Cohen-Grossberg Neural Networks. Neural Comput. 15, 1173–1189 (2003)

    Article  MATH  Google Scholar 

  5. Hwang, C., Cheng, C., Li, T.: Globally Exponential Stability of Generalized Cohen-Grossberg Neural Networks with Delays. Phys. Lett. A 319, 157–166 (2003)

    Article  MATH  Google Scholar 

  6. Li, Y.: Existence and Stability of Periodic Solutions for Cohen-Grossberg Neural Networks with Multiple Delays. Chaos Solitons & Fractals 20, 459–466 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  7. Wang, L., Zou, X.: Exponential Stability of Cohen-Grossberg Neural Networks. Neural Networks 15, 415–422 (2002)

    Article  Google Scholar 

  8. Wang, L., Zou, X.: Harmless Delays in Cohen-Grossberg Neural Networks. Phys. D 170, 163–173 (2002)

    Article  MathSciNet  Google Scholar 

  9. Yuan, K., Cao, J.: An Analysis of Global Asymptotic Stability of Delayed Cohen-Grossberg Neural Networks via Nonsmooth Analysis. IEEE Trans. Circuits Syst.-I 52, 1854–1861 (2005)

    Article  MathSciNet  Google Scholar 

  10. Zeng, Z., Wang, J.: Global Exponential Stability of Recurrent Neural Networks with Time-Varying Delays in the Presence of Strong External Stimuli. Neural Networks 19, 1528–1537 (2006)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, China

    Xuehui Mei & Haijun Jiang

Authors
  1. Xuehui Mei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Haijun Jiang
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mei, X., Jiang, H. (2008). Dynamic of Cohen-Grossberg Neural Networks with Variable Coefficients and 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_28

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87732-5_28

  • 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)

Publish with us

Policies and ethics

Search

Navigation