Skip to main content
SpringerLink
Log in

Globally Exponential Stability of a Class of Neural Networks with Impulses and Variable Delays

  • Conference paper
Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6063))

Included in the following conference series:

  • 1797 Accesses

Abstract

In this paper, a class of impulsive neural networks with time-varying delays is considered to study the globally exponential stability. New sufficient conditions for globally exponential stability are obtained by using the vector Lyapunov function, Young inequality and Halanay differential inequality with delay.

This work is supported by Science Foundation of Zhongkai University of Agriculture and Engineering G3071727.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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. Chua, L.O., Yang, L.: Cellular neural networks: Theory and application. IEEE Transactions on Circuits and Systems 35, 1257–1272 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  2. Zhang, L.-j., Si, L.-g.: Globally exponential stability of a class of neural networks with variable delays. Mathematica Applicata 20(2), 258–262 (2007)

    MATH  MathSciNet  Google Scholar 

  3. Cao, J.D., Wang, J.: Global exponential stability and periodicity of recurrent neural networks with time delay. IEEE Trans. Circuits and Systems 152, 920–931 (2005)

    MathSciNet  Google Scholar 

  4. Akca, H., Alassar, R., Covacheva, V., Ai-Zahrani, E.: Continuous-time additive Hopfield type neural networks with impulses. J. Math. Anal. Appl. 290, 436–451 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Gopalsamy, K.: Stability of artificial neural networks with impulses. Appl. Math. & Comp. 154, 783–813 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  6. Xia, Y.H., Cao, J.D., Cheng, S.: Global exponential stability of delayed cellular neural networks with impulses. Neuro-computing 70, 2495–2501 (2007)

    Google Scholar 

  7. Mohamad, S., Gopalsamy, K., Akca, H.: Exponential stability of artificial neural networks with distributed delays and large impulses. Nonlinear Analysis: Real World Applications 9, 872–888 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  8. Yang, Z.C., Xu, D.Y.: Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays. Applied Math. And Comput. 160, 1–16 (2005)

    Article  Google Scholar 

  9. Yang, Y., Cao, J.D.: Stability and periodicity in delayed cellular neural networks with impulsive effects Nonlinear Analysis. Real World Applications 8, 362–374 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  10. Yang, T.: Impulsive systems and control: Theory and Applications. Nova science publishers, Huntington (2001)

    Google Scholar 

  11. Forti, M., Tesi, A.: New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans. Circuits Syst. I: Fund. Theor. Appl. 42, 354–366 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  12. Hardy, G.H., Littlewood, J.E., Polya, G.: Inequalities. Cambridge University Press, London (1952)

    MATH  Google Scholar 

  13. Gopalsamy, K.: Stability and Oscillations in Delay Differential Equations of Population Dynamics. Kluwer Academic Publishers, Dordrecht (1992)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, 510225, P.R. China

    Jianfu Yang, Hongying Sun, Fengjian Yang, Wei Li & Dongqing Wu

Authors
  1. Jianfu Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hongying Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Fengjian Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Wei Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Dongqing Wu
    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 Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Liqing Zhang

  2. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800, Dongchuan Road, 200240, Shanghai, China

    Bao-Liang Lu

  3. Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Clear Water bay, Kowloon, Hong Kong, China

    James Kwok

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yang, J., Sun, H., Yang, F., Li, W., Wu, D. (2010). Globally Exponential Stability of a Class of Neural Networks with Impulses and Variable Delays. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_90

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13278-0_90

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13277-3

  • Online ISBN: 978-3-642-13278-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation