New stability criteria for delayed neural networks with impulses

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 10, Issue 1, 2009, Pages 113-117

  Shen, Jing ^a   Wan, Jian ^a   Li, Chuan Dong ^a  

^a HANGZHOU DIANZI UNIVERSITY   (China)

Author keywords

Delayed neural networks (DNN); Exponential stability; Impulse; Time delay

Indexed keywords

EID: 65349180138     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2009.10.1.113     Document Type: Conference Paper

References (14)

1. Lakshmikantham V., Bainov D.D., Simeonov P.S. Theory of Impulsive Differential Equations. World Scientific, Singapore, 1989.
2. Samoilenko A.M., Perestyuk N.A. Impulsive Differential Equations. World Scientific, Singapore 1995.
3. Erbe L., Freedman H.I., Liu X., Wu J.H.. Comparison principles for impulsive parabolic equations with applications to models of singles species growth. J. Austral. Math. Soc., Ser. B. 32(1991), 382-400.
4. Kirane M., Rogovchenko V. Comparison results for systems of impulsive parabolic equations with applications to population dynamics. Nonlin. Anal.; 28(1997), 263-276.
5. Guan Z.H, Chen G.R. On delayed impulsive Hopfield neural networks. Neural Networks, 12(1999), 273-280.
6. Guan Z.H, Lam J, Chen G.R. On impulsive auto-associative neural networks. Neural Networks, 13(2000), 63-69.
7. Li Y.K., Lu L. Global exponential stability and existence of periodic solution of Hop-field-type neural networks with impulses. Physics Letters A, 333(2004), 62-71.
8. Li Y.K. Global exponential stability of BAM neural networks with delays and impulses. Chaos Soliton. Fract., 24(2005), 279-285.
9. Akca H., Alassar R., Covachev V., Covacheva Z., Al-Zahrani E.. Continuous-time additive Hopfield-type neural networks with impulses. J. Math. Analy. Appl. 290(2004), 436-451.
10. Yan J.S., Shen J.H. Impulsive stabilization of functional differential equations by Lyapu-nov- Razumikhin functions. Nonlinear Analysis, 37(1999), 245-255.
11. Li S. J., Liu Y.X. An improved approach to nonlinear dynamical system identification using PID neural networks. Int. J. Nonlin. Sci. Num., 7(2), (2006), 177-182.
12. Liu S. Q., Fan T., Lu Q. S. The spike order of the winnerless competition (WLC) model and its application to the inhibition neural system. Int. J. Nonlin. Sci. Num., 6 (2), (2005), 133-138.
13. Liu Z. G., Chen A. P., Huang L.H.. Periodic oscillatory solution to delayed BAM neural networks with impulses. Int. J. Nonlin. Sci. Num., 5 (4), (2004), 355-362.
14. Wang R. B., Jiao X. F., Duan Y. B. Some advance in nonlinear stochastic evolution models for phase resetting dynamics on populations of neuronal oscillators. Int. J. Nonlin. Sci. Num., 4 (4), (2003), 435-446.