Stability analysis of delayed Cohen-Grossberg BAM neural networks with impulses via nonsmooth analysis

Chaos, Solitons and Fractals

Volumn 42, Issue 3, 2009, Pages 1829-1837

  Wen, Zhen ^a   Sun, Jitao ^a  

^a TONGJI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASSOCIATIVE PROCESSING; LYAPUNOV METHODS; STABILITY CRITERIA;

BAM NEURAL NETWORK; BI-DIRECTIONAL ASSOCIATIVE MEMORY; EQUILIBRIUM POINT; EXISTENCE AND UNIQUENESS; GLOBAL EXPONENTIAL STABILITY; NON-SMOOTH ANALYSIS; STABILITY ANALYSIS;

NEURAL NETWORKS;

EID: 67650383509     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.090     Document Type: Article

References (19)

1. Kosko B. Bidirectional associative memories. IEEE Trans Syst Man Cybernet 18 (1988) 49-60
2. Wu W., Cui B.T., and Huang M. Global asymptotic stability of Cohen-Grossberg neural networks with constant and variable delays. Chaos, Solitons & Fractals 33 (2007) 1355-1361
3. Liu J. Global exponential stability of Cohen-Grossberg neural networks with time-varying delays. Chaos, Solitons & Fractals 26 (2005) 935-945
4. Jiang H.J., Cao J.D., and Teng Z.D. Dynamics of Cohen-Grossberg neural networks with time-varying delays. Phys Lett A 354 (2006) 414-422
5. Lakshmikantham V., Bainov D.D., and Simeonov P.S. Theory of impulsive differential equations (1989), World Scientific press, Singapore
6. Bainov D.D., and Simeonov P.S. Systems with impulse: effect stability theory and applications (1989), Ellis Horwood, Chichester
7. Yang T. Impulsive systems and control: theory and applications (2001), Nova Science Publishers, Huntington, NY
8. Li Y.K. Global exponential stability of BAM neural networks with delays and impulses. Chaos, Solitons & Fractals 24 (2005) 279-285
9. Xia Y.H., Huang Z.K., and Han M.A. Existence and globally exponential stability of equilibrium for BAM neural networks with impulses. Chaos, Solitons & Fractals 37 (2008) 588-597
10. Huang Z.K., and Xia Y.H. Global exponential stability of BAM neural networks with transmission delays and nonlinear impulses. Chaos, Solitons & Fractals 38 (2008) 489-498
11. Bai C.Z. Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses. Chaos, Solitons & Fractals 35 (2008) 263-267
12. Clarke F.H., Leyaev Yu., Stern R., and Wolenski P. Nonsmooth analysis and control theory (1998), Springer, New York
13. Clarke F.H. Optimization and nonsmooth analysis (1983), Wiley, New York
14. Pourciau B.H. Hadamard theorem for locally Lipschitzian maps. J Math Anal Appl 85 (1982) 279-285
15. Qi H.D., and Qi L.Q. Deriving sufficient conditions for global asymptotic stability of delayed neural networks via nonsmooth analysis. IEEE Trans Neural Netw 15 (2004) 99-109
16. Yuan K., and Cao J.D. An analysis of global asymptotic stability of delayed Cohen-Grossberg neutral networks via nonsmooth analysis. IEEE Trans Circuits Syst I Regular Pap 52 (2005) 1854-1861
17. Yu W.W., Cao J.D., and Wang J. An LMI approach to global asymptotic stability of the delayed Cohen-Grossberg neural network via nonsmooth analysis. Neural Netw 20 (2007) 810-818
18. Lu H.T., and He Z. Global exponential stability of delayed competitive neural networks with different time scale. Neural Netw 18 (2005) 243-250
19. Wen Z., and Sun J.T. Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis. Neurocomputing 71 (2008) 1543-1549