Global exponential stability of impulsive high-order Hopfield type neural networks with delays

Computers and Mathematics with Applications

Volumn 57, Issue 11-12, 2009, Pages 1959-1967

  Xu, Bingji ^a   Liu, Xiang ^b   Teo, Kok Lay ^c  

^a CHINA UNIVERSITY OF GEOSCIENCES   (China)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^c CURTIN UNIVERSITY   (Australia)

Author keywords

Delay; Exponential stability; Impulsive high order Hopfield type neural networks; Lyapunov function

Indexed keywords

DELAY; EXPONENTIAL CONVERGENCE RATES; EXPONENTIAL STABILITY; GLOBAL EXPONENTIAL STABILITIES; IMPULSIVE DELAYS; IMPULSIVE HIGH-ORDER HOPFIELD TYPE NEURAL NETWORKS; NUMERICAL EXAMPLES; SUFFICIENT CONDITIONS;

CONTROL SYSTEM STABILITY; DIFFERENTIAL EQUATIONS; HOPFIELD NEURAL NETWORKS; LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; TIME VARYING NETWORKS;

NEURAL NETWORKS;

EID: 67349194082     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2008.10.001     Document Type: Article

References (12)

1. Zhang Y., Zhong S.M., and Li Z.L. Periodic solutions and stability of hopfield neural networks with variable delays. International Journal of Systems Science 27 (1996) 895-901
2. Driessche P.D., and Zou X. Global attractivity in delayed hopfield neural networks model. SIAM Journal of Applied Mathematics 58 (1998) 1878-1890
3. Liao X.X., and Xiao D.M. Global exponential stability of hopfield neural networks with time-varying delays. Acta Electronica Sinica 28 (2000) 87-90 (in Chinese)
4. Liao X.F., Wong K.-W., Wu Z.F., et al. Novel robust stability criteria for interval-delayed hopfield neural networks. IEEE Transactions on Circuits and Systems I 48 (2001) 1355-1359
5. Peng J.G., Qiao H., and Xu Z.-B. A new approach to stability of neural networks with time-varying delays. Neural Networks 15 (2002) 95-103
6. Zeng Z.G., Wang J., and Liao X.X. Global exponential stability of neural networks with time-varying delays. IEEE Transactions on Circuits and Systems-I 50 (2003) 1353-1358
7. Xu B.J., Liu X.Z., and Liao X.X. Global asymptotic stability of high order Hopfield type neural networks with time delays. Computers and Mathematics with Applications 45 (2003) 1729-1737
8. Gopalsamy K. Stability of artificial neural networks with impulses. Applied Mathematics and Computation 154 (2004) 783-813
9. Acka H., Alassar R., Covachev V., et al. Continuous-time additive Hopfield-type neural networks with impulses. Journal of Mathematical Analysis and Applications 290 (2004) 436-451
10. Liu X.Z., Teo K.L., and Xu B.J. Exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. IEEE Transactions on Neural Networks 16 (2005) 1329-1339
11. Ho D.W.C., Liang J.L., and Lam J. Global exponential stability of impulsive high-order BAM neural networks with time-varying delays. Neural Networks 19 (2006) 1581-1590
12. Qiu J.L. Exponential stability of impulsive neural networks with time-varying delays and reaction-diffusion terms. Neurocomputing 70 (2007) 1102-1108