Discrete-time impulsive Hopfield neural networks with finite distributed delays

Authors

  • Haydar Akҫa United Arab Emirates University
    United Arab Emirates
  • Rajai Alassar King Fahd University of Petroleum and Minerals
    Saudi Arabia
  • Valery Covachev Sultan Ǫaboos University
    Bulgaria
  • H. Ali Yurtsever Georgetown University
    United States

Abstract

The discrete counterpart of a class of Hopfield neural networks with periodic impulses and finite distributed delays is introduced. A sufficient condition for the existence and global exponential stability of a unique periodic solution of the discrete system considered is obtained.

References

[1] H. Akҫa, R. Alassar, V. Covachev, Z. Covacheva, E.A. AI-Zahrani. Continuous-time additive Hopfield-type neural networks with impulses. J. Math. Anal. Appl., 290: 436-451, 2004.
[2] H. Akҫa, R. Alassar, V. Covachev, Z. Covacheva. Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses. Dyn. Syst. Appl., 13: 75- 90, 2004.
[3] V. Covachev, H. Akҫa, F. Yeniҫerioglu. Difference approximations for impulsive differential equations. Appl. Math. Comput., 121: 383-390, 2001.
[4] J. Freeman, D. Sakura. Neural Networks: Algorithms, Applications, and Programming Techniques. Addison-Wesley, Reading, Mass., 2001.
[5] K Gopalsamy. Stability of artificial neural networks with impulses. Appl. Math. Comput., 154: 783-813, 2004.

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Published

2022-08-24

Issue

Vol. 14 No. 2 (2007)
pp. 145-158

Section

Articles

License

Copyright © The Author(s).

This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

How to Cite

Akҫa H., Alassar, R., Covachev, V., & Yurtsever, H. A. (2022). Discrete-time impulsive Hopfield neural networks with finite distributed delays. Computer Assisted Methods in Engineering and Science, 14(2), 145-158. https://cames3.ippt.pan.pl/index.php/cames/article/view/822