Stability analysis of impulsive BAM fuzzy cellular neural networks with distributed delays and reaction-diffusion terms

International Journal of Computational and Mathematical Sciences

Volumn 4, Issue 3, 2010, Pages 112-122

  Zhang, Xinhua ^a   Li, Kelin ^b  

^a SOUTHWEST UNIVERSITY   (China)

^b SICHUAN NORMAL UNIVERSITY   (China)

Author keywords

Bi directional associative memory; Delays; Fuzzy cellular neural networks; Global exponential stability; Impulses; Reaction diffusion

Indexed keywords

BI-DIRECTIONAL ASSOCIATIVE MEMORIES; DELAYS; FUZZY CELLULAR NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; IMPULSES; REACTION DIFFUSION;

ASSOCIATIVE PROCESSING; ASSOCIATIVE STORAGE; DIFFUSION IN LIQUIDS; EXPONENTIAL FUNCTIONS; FUZZY NEURAL NETWORKS; STABILITY; TIME VARYING NETWORKS;

CELLULAR NEURAL NETWORKS;

EID: 77955820991     PISSN: 20103905     EISSN: 20103913     Source Type: Journal    
DOI: None     Document Type: Article

References (29)

1. L. O. Chua, "Passivity and Complexity", IEEE Trans. Circ. Syst.-I: Fundamental Theory and Applications 46 (1999) 71-82.
2. M. Itoh, L. O. Chua, "Complexity of Reaction-diffusion CNN", Int. J. Bifurc. Chaos 16 (2006) 2499-2527.
3. L. Wang, D. Xu, "Global exponential stability of Hopfield reactiondiffusion neural networks with variable delays", Sci. China Ser. F 46 (2003) 466-474.
4. J. Liang, J. Cao, "Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays", Phys. Lett. A 314 (2003) 434-442.
5. A. Chen, L. Huang, J. Cao, "Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms", Int. J. Syst. Sci. 38 (2007) 421-432.
6. X. Lou, B. Cui, "New criteria on global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms", Int. J. Neural Syst. 17 (2007) 43-52.
7. X. Lou, B. Cui, "Asymptotic synchronization of a class of neural networks with reaction-diffusion terms and time-varying delays", Computers & Mathematics with Applications 52 (2006) 897-904.
8. B. Cui, X. Lou, "Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms", Chaos, Solitons & Fractals 27 (2006) 1347-1354.
9. H. Zhao, G. Wang, "Existence of periodic oscillatory solution of reactiondiffusion neural networks with delays", Phys. Lett. A 343 (2005) 372-383.
10. Q. Song, Z. Wang, "An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays", Nonlinear Analysis: Real World Applications 8 (2007) 1224-1234.
11. Q. Song, J. Cao, "Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms", Chaos, Solitons & Fractals 23 (2005) 421-430.
12. Q. Song, Z. Zhao, Y. Li, "Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms", Phys. Lett. A 335 (2005) 213-225.
13. Q. Song, J. Cao, "Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms", Nonlinear Anal.: Real World Applications 8 (2007) 345-361.
14. Q. Song, J. Cao, "Exponential stability for impulsive BAM neural networks with time-varying delays and reaction-diffusion terms", Advances in Difference Equations 2007, art. no. 781608.
15. Q. Song, Z. Wang, "Dynamical behaviors of fuzzy reaction-diffusion periodic cellular neural networks with variable coefficients and delays", Appl. Math. Model. 33 (2009) 3533-3545.
16. Q. Zhou, J. Sun, G. Chen, "Global exponential stability and periodic oscillations of reaction-diffusion BAM neural networks with periodic coefficients and general delays", Int. J. Bifurc. Chaos 17 (2007) 129-142.
17. J. G. Lu, "Global exponential stability and periodicity of reactiondiffusion delayed recurrent neural networks with Dirichlet boundary conditions", Chaos, Solitons & Fractals 35 (2008) 116-125.
18. J. Wang, J. G. Lu, "Global exponential stability of fuzzy cellular neural networks with delays and reaction-diffusion terms", Chaos, Solitons & Fractals 38 (2008) 878-885.
19. J. G. Lu, L. J. Lu, "Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions", Chaos, Solitons & Fractals 39 (2009) 1538-1549.
20. K. Li, Q. Song, "Stability analysis of BAM fuzzy neural networks with distributed delays and reaction-diffusion terms", Dyn. Contin. Disc. Impul. Syst.-A: Math. Anal. 16 (2009) 375-396.
21. K. Li, "Stability analysis of impulsive fuzzy cellular neural networks with time-varying delays and reaction-diffusion terms", Far East J. Dynamical Systems 9 (2007) 325-344.
22. K. Li, Q. Song, "Exponential stability of impulsive Cohen-Grossberg neural networks with time-varying delays and reaction-diffusion terms", Neurocomputing 72 (2008) 231-240.
23. Z. Li, K. Li, "Stability analysis of impulsive Cohen-Grossberg neural networks with distributed delays and reaction-diffusion terms", Appl. Math. Model. 33 (2009) 1337-1348.
24. K. Li, "Global exponential stability of impulsive fuzzy cellular neural networks with delays and diffusion", Int. J. Bifurc. Chaos 19 (2009) 245-261.
25. J. Qiu, "Exponential stability of impulsive neural networks with timevarying delays and reaction-diffusion terms", Neurocomputing 70 (2007) 1102-1108.
26. T. Yang, L. Yang, "The global stability of fuzzy celluar neural networks", IEEE Trans. Cric. Syst. I 43 (1996) 880-883.
27. D. Xu, Z. Yang, "Impulsive delay differential inequality and stability of neural networks", J. Math. Anal. Appl. 305 (2005) 107-120.
28. X. Wang, D. Xu, "Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms", Chaos, Solitons & Fractals 42 (2009) 2713-2721.
29. B. Kosko, "Adaptive bi-directional associative memories", Appl Opt. 26 (1987) 4947-4960.