Mean square exponential stability of generalized stochastic neural networks with time-varying delays

Asian Journal of Control

Volumn 11, Issue 6, 2009, Pages 633-642

  Yu, Jianjiang ^a,b   Zhang, Kanjian ^a   Fei, Shumin ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b YANCHENG TEACHERS UNIVERSITY   (China)

Author keywords

Delay dependent criteria; Mean square exponential stability; Neural networks; Stochastic system

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; STOCHASTIC SYSTEMS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

ACTIVATION FUNCTIONS; DELAY DEPENDENT STABILITY CRITERION; DELAY-DEPENDENT CRITERIA; GENERAL DESCRIPTION; LYAPUNOV-KRASOVSKII FUNCTIONALS; MEAN SQUARE EXPONENTIAL STABILITY; STOCHASTIC NEURAL NETWORK; TIME VARYING- DELAYS;

STABILITY CRITERIA;

EID: 72449169489     PISSN: 15618625     EISSN: None     Source Type: Journal    
DOI: 10.1002/asjc.144     Document Type: Article

References (20)

1. Cichocki, A. and R. Unbehauen, Neural Networks for Optimization and Signal Processing, Wiley, Chichester, UK (1993).
2. Chua, L. O. and L. Yang, "Cellular neural networks: applications," IEEE Trans. Circuits Syst., Vol. 35, pp. 1273-1290(1988).
3. He, Y, G. Liu and D. Rees, "New delay-dependent stability criteria for neural networks with time-varying delay,"IEEE Trans. Neural Netw., Vol. 18, pp. 310-314(2007).
4. Wang, Z., Y. Liu, M. Li and X. Liu, "Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays," IEEE Trans. Neural Netw., Vol. 17, pp. 814-820 (2006).
5. Wang, Z., S. Lauria, J. Fang, and X. Liu, "Exponential stability of uncertain stochastic neural networks with mixed time-delays," Chaos, Solitons Fractals, Vol. 32, pp. 62-72 (2007).
6. Zhang, J., P. Shi, J. Qiu and H. Yang, "A new criterion for exponential stability of uncertain stochastic neural networks with mixed delays," Math. Comput. Model., Vol. 47, No. 9-10, pp. 1042-1051 (2008).
7. Li. C. and X. Liao, "Robust stability and robust periodicity of delayed recurrent neural networks with noise disturbance," IEEE Trans. Circuits Syst. J., Vol. 53, pp. 2265-2273 (2006).
8. Sun, Y. and J. Cao. "pth moment exponential stability of stochastic recurrent neural networks with time-varying delays," Nonlinear Anal.: Real World Appl., Vol. 8, pp. 1171 -1185 (2007).
9. Huang, H. and G. Feng, "Delay-dependent stability for uncertain stochastic neural networks with time-varying delay" Phys. A, Vol. 381, pp. 93-103 (2007).
10. Chen, W. and X. Lu, "Mean square exponential stability of uncertain stochastic delayed neural networks," Phys. Lett. A, Vol. 372, pp. 1061-1069 (2008).
11. Liu, Y, Z. Wang and X. Liu, "Global exponential stability of generalized recurrent neural networks with discrete and distributed delays," Neural Netw., Vol. 19, pp. 667-675 (2006).
12. Liu, Y. Z. Wang and X. Liu, "Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays," Chaos Solitons Eractals, Vol. 28, pp. 793-803 (2006).
13. Cao, J. D. and L. Wang, "Exponential stability and periodic oscillatory solution in BAM networks with delays", IEEE Trans. Neural Netw., Vol. 13, pp. 457-463 (2002).
14. Gu, K., "An integral inequality in the stability problem of time-delay systems" Proc. 39th IEEE Conf. Decis. Control, Sydney, Australia, pp. 2805-2810(2000).
15. Chen, T. and L. Rong, "Delay-independent stability analysis of Cohen-Grossberg neural networks," Phys. Lett. A, Vol. 317, pp. 436-449 (2003).
16. Wang, Z., Y. Liu and X. Liu, "On global asymptotic stability of neural networks with discrete and distributed delays," Phys. Lett. A, Vol. 345, pp. 299-308 (2005).
17. Li, T., S. M. Fei and K. J. Zhang, "Synchronization control of recurrent neural networks with distributed delays". Physica A, Vol. 387, pp. 982-996 (2008).
18. Cao, J. D. and J. Wang, "Global exponential stability and periodicity of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, Vol. 52, pp. 920-931 (2005).
19. Cao, J. D., K. Yuan and H. Li, "Global asymptotical stability of generalized recurrent neural networks with multiple discrete delays and distributed delays," IEEE Trans. Neural Netw., Vol. 17, pp. 379-390 (2004).
20. Li, T., L. Guo, C. Y Sun and C. Lin, "Further results on delay-dependent stability criteria of neural networks with time-varying delays," IEEE Trans. Neural Netw., Vol. 19, pp. 726-730 (2008).