Skip to main content
SpringerLink
Log in

A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

In this paper, a shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type is considered. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to zero point, which are new and complement of previously known results.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bouzerdoum A, Pinter RB (1991) Analysis and analog implementation of directionally sensitive shunting inhibitory cellular neural networks, Visual Inform. Process. 29–38 (From neurons to Chips SPIE-1473)

  2. Zhou Q, Xiao B, Yu Y, Peng Lequn (2007) Existence and exponential stability of almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Chaos Solitons Fractals 34:860–866

    Article  MathSciNet  MATH  Google Scholar 

  3. Li Y, Meng H, Zhou Q (2008) Exponential convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients. J Comput Appl Math 216:164–169

    Article  MathSciNet  MATH  Google Scholar 

  4. Ou C (2009) Almost periodic solutions for shunting inhibitory cellular neural networks. Nonlinear Anal Real World Appl 10:2652–2658

    Article  MathSciNet  MATH  Google Scholar 

  5. Peng GQ, Huang LH (2009) Anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays, Nonlinear Anal Real World Appl 10:2434–2440

    Article  MathSciNet  MATH  Google Scholar 

  6. Wang L, Lin Y (2009) Global exponential stability for shunting inhibitory CNNs with delays. Appl Math Comput 214:297–303

    Article  MathSciNet  MATH  Google Scholar 

  7. Xiao B (2009) Existence and uniqueness of almost periodic solutions for a class of Hopfield neural networks with neutral delays. Appl Math Lett 22:528–533

    Article  MathSciNet  MATH  Google Scholar 

  8. Bai C (2009) Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays. Nonlinear Anal 71:5850–5859

    Article  MathSciNet  MATH  Google Scholar 

  9. Mandal S, Majee NC (2011) Existence of periodic solutions for a class of Cohen-Grossberg type neural networks with neutral delays. Neurocomputing 74(6):1000–1007

    Article  Google Scholar 

  10. Li L, Fang Z, Yang Y (2012) A shunting inhibitory cellular neural network with continuously distributed delays of neutral type. Nonlinear Anal Real World Appl 13:1186–1196

    Article  MathSciNet  MATH  Google Scholar 

  11. Gopalsamy K (2007) Leakage delays in BAM. J Math Anal Appl 325:1117–1132

    Article  MathSciNet  MATH  Google Scholar 

  12. Li X, Cao J (2010) Delay-dependent stability of neural networks of neutral type with time delay in the leakage term. Nonlinearity 23:1709–1726

    Article  MathSciNet  MATH  Google Scholar 

  13. Peng S (2010) Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms. Nonlinear Anal Real World Appl 11:2141–2151

    Article  MathSciNet  MATH  Google Scholar 

  14. Li X, Rakkiyappan R, Balasubramaniam P (2011) Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations. J Franklin Inst 348:135–155

    Article  MathSciNet  MATH  Google Scholar 

  15. Gan Q, Liang Y (2012) Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control, J Franklin Inst http://dx.doi.org/10.1016/j.jfranklin.2012.05.001

  16. Liu B (2013) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal Real World Appl 14:559–566

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The author would like to express the sincere appreciation to the reviewer for his/her helpful comments in improving the presentation and quality of the paper. This work was supported by the NNSF of China (grant no. 11201184) and the Hunan Provincial Natural Science Foundation of China(12JJ3007).

Author information

Authors and Affiliations

  1. School of Science, Hunan University of Technology, Zhuzhou, 412000, Hunan, China

    Zhibin Chen

Authors
  1. Zhibin Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zhibin Chen.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, Z. A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. Neural Comput & Applic 23, 2429–2434 (2013). https://doi.org/10.1007/s00521-012-1200-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-012-1200-2

Keywords

Search

Navigation