Skip to main content
Log in

A New Sufficient Condition for Global Robust Stability of Delayed Neural Networks

  • Published:
Neural Processing Letters Aims and scope Submit manuscript

Abstract

In this paper, by using Lyapunov stability theorems, we present a new sufficient condition for the existence, uniqueness and global robust asymptotic stability of the equilibrium point for delayed neural networks. This condition basically establishes a relationship between the network parameters of the neural system. The obtained condition can be easily verified as it is in terms of the network parameters only. Some illustrative numerical examples are also given to compare our result with the previous robust stability results derived in the literature.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Forti M, Tesi A (1995) New conditions for global stability of neural networks with applications to linear and quadratic programming problems. IEEE Trans Circut Syst 42(7): 354–365

    Article  MathSciNet  MATH  Google Scholar 

  2. Shao JL, Huang TZ, Zhou S (2010) Some improved criteria for global robust exponential stability of neural networks with time-varying delays. Commun Nonlinear Sci Numer Simul 15: 3782–3794

    Article  MathSciNet  MATH  Google Scholar 

  3. Shao JL, Huang TZ, Zhou S (2009) An analysis on global robust exponential stability of neural networks with time-varying delays. Neurocomputing 72: 1993–1998

    Article  Google Scholar 

  4. Senan S, Arik S (2009) New results for global robust stability of bidirectional associative memory neural networks with multiple time delays. Chaos Soliton Fract 41: 2106–2114

    Article  MathSciNet  MATH  Google Scholar 

  5. Mahmoud M (2009) Novel robust exponential stability criteria for neural networks. Neurocomputing 73: 331–335

    Article  Google Scholar 

  6. Gao M, Cui B (2009) Global robust stability of neural networks with multiple discrete delays and distributed delays. Chaos Soliton Fract 40: 1823–1834

    Article  MathSciNet  MATH  Google Scholar 

  7. Zhao W, Zhu Q (2010) New results of global robust exponential stability of neural networks with delays. Nonlinear Anal Real World Appl 11: 1190–1197

    Article  MathSciNet  MATH  Google Scholar 

  8. Cui S, Zhao T, Guo J (2009) Global robust exponential stability for interval neural networks with delay. Chaos Soliton Fract 42: 1567–1576

    Article  MathSciNet  MATH  Google Scholar 

  9. Yucel E, Arik S (2009) Novel results for global robust stability of delayed neural networks. Chaos Soliton Fract 39: 1604–1614

    Article  MathSciNet  MATH  Google Scholar 

  10. Wu X, Wang Y, Huang L, Zuo Y (2010) Robust exponential stability criterion for uncertain neural networks with discontinuous activation functions and time-varying delays. Neurocomputing 73: 1265–1271

    Article  Google Scholar 

  11. Zong G, Liu J (2009) New delay-dependent global robust stability conditions for interval neural networks with time-varying delays. Chaos Soliton Fract 42: 2954–2964

    Article  MathSciNet  MATH  Google Scholar 

  12. Liao XF, Yu J (1998) Robust stability for interval Hopfield neural networks with time delay. IEEE Trans Neural Netw 9: 1042–1045

    Article  Google Scholar 

  13. Liao XF, Wong KW, Wu Z, Chen G (2001) Novel robust stability for interval-delayed hopfield neural. IEEE Trans Circuit Syst I 48: 1355–1359

    Article  MathSciNet  MATH  Google Scholar 

  14. Chen A, Cao J, Huang L (2005) Global robust stability of interval cellular neural networks with time-varying delays. Chaos Soliton Fract 23: 787–799

    Article  MathSciNet  MATH  Google Scholar 

  15. Li X, Cao J (2004) Global exponential robust stability of delayed neural networks. Int J Bifurcat Chaos 14: 2925–29313

    Article  MathSciNet  MATH  Google Scholar 

  16. Sun C, Feng CB (2003) Global robust exponential stability of interval neural networks with delays. Neural Process Lett 17: 107–115

    Article  Google Scholar 

  17. Cao J, Chen T (2004) Global exponentially robust stability and periodicity of delayed neural networks. Chaos Soliton Fract 22: 957–963

    Article  MathSciNet  MATH  Google Scholar 

  18. Cao J, Huang DS, Qu Y (2005) Global robust stability of recurrent neural networks. Chaos Soliton Fract 23: 221–229

    Article  MathSciNet  MATH  Google Scholar 

  19. Cao J, Wang J (2005) Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans Circuit Syst I 52: 417–426

    Article  MathSciNet  Google Scholar 

  20. Ensari T, Arik S (2010) New results for robust stability of dynamical neural networks with discrete time delays. Expert Syst Appl 27: 5925–5930

    Article  Google Scholar 

  21. Ozcan N, Arik S (2006) An analysis of global robust stability of neural networks with discrete time delays. Phys Lett A 359(5): 445–450

    Article  Google Scholar 

  22. Horn RA, Johnson CR (1991) Topics in matrix analyis. Cambridge University Press, Cambridge

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Neyir Ozcan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ozcan, N. A New Sufficient Condition for Global Robust Stability of Delayed Neural Networks. Neural Process Lett 34, 305–316 (2011). https://doi.org/10.1007/s11063-011-9194-9

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11063-011-9194-9

Keywords

Navigation