Skip to main content
SpringerLink
Log in

Almost periodic solutions for fuzzy cellular neural networks with time-varying delays

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

Abstract

In this paper, a class of fuzzy cellular neural networks with time-varying delays is considered. Based on the almost periodic function theory, by applying differential inequality techniques, we establish some sufficient conditions for the existence and exponential stability of almost periodic solutions for the model, which are new and complement with some recent ones. An example and its numerical simulations are presented to demonstrate the feasibility and effectiveness of the main 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

Fig. 1

Similar content being viewed by others

References

  1. Yang T, Yang L, Wu C, Chua L (1996) Fuzzy cellular neural networks: theory. In: Proceedings of IEEE international work shop on cellular neural networks and applications, pp 181–186

  2. Yang T, Yang L, Wu C, Chua L (1996) Fuzzy cellular neural networks: applications. In: Proceedings of IEEE international work shop on cellular neural networks and applications, pp 225–230

  3. Abdurahman A, Jiang H, Teng Z (2015) Finite-time synchronization for fuzzy cellular neural networks with time-varying delays. Fuzzy Sets Syst. doi:10.1016/j.fss.2015.07.009

  4. Yang HZ, Sheng L (2009) Robust stability of uncertain stochastic fuzzy cellular neural networks. Neurocomputing 73:133–138

    Article  Google Scholar 

  5. Jian J, Jiang W (2015) Lagrange exponential stability for fuzzy Cohen–Grossberg neural networks with time-varying delays. Fuzzy Sets Syst 277:65–80

    Article  MathSciNet  Google Scholar 

  6. Zheng C, Zhang X, Wang Z (2015) Mode-dependent stochastic stability criteria of fuzzy Markovian jumping neural networks with mixed delays. ISA Trans 56:8–17

    Article  Google Scholar 

  7. Kao Y, Shi L, Xie J, Karimi HR (2015) Global exponential stability of delayed Markovian jump fuzzy cellular neural networks with generally incomplete transition probability. Neural Netw 63:18–30

    Article  MATH  Google Scholar 

  8. Yuan K, Cao JD, Deng JM (2006) Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays. Neurocomputing 69(13–15):1619–1627

    Article  Google Scholar 

  9. Song Q, Wang Z (2009) Dynamical behaviors of fuzzy reaction–diffusion periodic cellular neural networks with variable coefficients and delays. Appl Math Model 33:3533–3545

    Article  MathSciNet  MATH  Google Scholar 

  10. Niu S, Jiang H, Teng Z (2008) Exponential stability and periodic solutions of FCNNs with variable coefficients and time-varying delays. Neurocomputing 71:2929–2936

    Article  Google Scholar 

  11. Niu S, Jiang H, Teng Z (2009) Periodic oscillation of FCNNs with distributed delays and variable coefficients. Nonlinear Anal Real World Appl 10:1540–1554

    Article  MathSciNet  MATH  Google Scholar 

  12. Bao H (2015) Existence and exponential stability of periodic solution for BAM fuzzy Cohen–Grossberg neural networks with mixed delays. Neural Process Lett. doi:10.1007/s11063-015-9455-0

  13. Yang W (2014) Periodic solution for fuzzy Cohen–Grossberg BAM neural networks with both time-varying and distributed delays and variable coefficients. Neural Process Lett 40:51–73

    Article  Google Scholar 

  14. Fink AM (1974) Almost periodic differential equations, Lecture notes in mathematics, vol 377. Springer, Berlin

    Book  Google Scholar 

  15. Zhang C (2003) Almost periodic type functions and ergodicity. Kluwer Academic/Science Press, Beijing

    Book  MATH  Google Scholar 

  16. NGu érékata GM (2001) Almost automorphic functions and almost periodic functions in abstract spaces. Kluwer Academic, New York

    Book  Google Scholar 

  17. Liu B, Huang L (2008) Positive almost periodic solutions for recurrent neural networks. Nonlinear Anal Real World Appl 9:830–841

    Article  MathSciNet  MATH  Google Scholar 

  18. Lu W, Chen T (2005) Global exponential stability of almost periodic solutions for a large class of delayed dynamical systems. Sci China Ser A Math 8(48):1015–1026

    Article  MathSciNet  MATH  Google Scholar 

  19. Xu Y (2014) New results on almost periodic solutions for CNNs with time-varying leakage delays. Neural Comput Appl 25:1293–1302

    Article  Google Scholar 

  20. Zhang H, Shao J (2013) Existence and exponential stability of almost periodic solutions for CNNs with time-varying leakage delays. Neurocomputing 121(9):226–233

    Article  Google Scholar 

  21. Zhang H, Shao J (2013) Almost periodic solutions for cellular neural networks with time-varying delays in leakage terms. Appl Math Comput 219(24):11471–11482

    MathSciNet  MATH  Google Scholar 

  22. Zhang H (2014) Existence and stability of almost periodic solutions for CNNs with continuously distributed leakage delays. Neural Comput Appl 2014(24):1135–1146

    Article  Google Scholar 

  23. Liu B, Tunc C (2015) Pseudo almost periodic solutions for CNNs with leakage delays and complex deviating arguments. Neural Comput Appl 26:429–435

    Article  Google Scholar 

  24. Liu B (2015) Pseudo almost periodic solutions for neutral type CNNs with continuously distributed leakage delays. Neurocomputing 148:445–454

    Article  Google Scholar 

  25. Liu B (2015) Pseudo almost periodic solutions for CNNs with continuously distributed leakage delays. Neural Process Lett 42:233–256. doi:10.1007/s11063-014-9354-9

    Article  Google Scholar 

Download references

Acknowledgments

The author would like to express the sincere appreciation to the reviewers for their helpful comments in improving the presentation and quality of the paper.

Author information

Authors and Affiliations

  1. College of Mathematics and Computer Science, Hunan University of Arts and Science, Changde, 415000, Hunan, People’s Republic of China

    Zuda Huang

Authors
  1. Zuda Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zuda Huang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, Z. Almost periodic solutions for fuzzy cellular neural networks with time-varying delays. Neural Comput & Applic 28, 2313–2320 (2017). https://doi.org/10.1007/s00521-016-2194-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-016-2194-y

Keywords

Search

Navigation