Stability analysis of neural networks with both variable and unbounded delays

Chaos, Solitons and Fractals

Volumn 40, Issue 2, 2009, Pages 697-707

  Zhao, Weirui ^a,b   Yan, Anzhi ^b,c  

^a WUHAN UNIVERSITY OF TECHNOLOGY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

^c HENAN POLYTECHNIC UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONS;

ACTIVATION FUNCTIONS; GLOBAL ASYMPTOTIC STABILITY; LYAPUNOV FUNCTIONALS; STABILITY ANALYSIS; STABILITY OF EQUILIBRIUM; UNBOUNDED DELAYS;

NEURAL NETWORKS;

EID: 64949090971     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.08.017     Document Type: Article

References (29)

1. Arik S., and Orman Z. Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Phys Lett A 341 (2005) 410-421
2. Arik S. An analysis of exponential stability of delayed neural networks with time varying delays. Neural Networks 17 (2004) 1027-1031
3. Arik S. On the global dissipativity of dynamical neural networks with time delays. Phys Lett A 326 (2004) 126-132
4. Cao J., and Chen T. Globally exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons & Fractals 22 4 (2004) 957-963
5. Cao J., Huang D., and Qu Y. Global robust stability of delayed recurrent neural networks. Chaos, Solitons & Fractals 23 1 (2005) 221-229
6. Chen A., Cao J., and Huang L. Global robust stability of interval cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 3 (2005) 787-799
7. Chen Z., Zhao D.H., and Ruan J. Dynamic analysis of high-order Cohen-Grossberg neural networks with time delay. Chaos, Solitons & Fractals 32 4 (2007) 1538-1546
8. Forti M. On global asymptotic stability of a class of nonlinear systems arising in neural network theory. J Diff Equat 113 1 (1994) 246-264
9. Forti M., and Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circ Syst I 42 7 (1995) 354-366
10. Huang H., Ho D., and Cao J. Analysis of global exponential stability and periodic solutions of neural networks with time-varying delays. Neural Networks 18 (2005) 161-170
11. Hwang C., Cheng C., and Liao T. Globally exponential stability of generalized Cohen-Grossberg neural networks with delays. Phys Lett A 319 (2003) 157-166
12. Huang T., Li C., and Chen G. Stability of Cohen-Grossberg neural networks with unbounded distributed delays. Chaos, Solitons & Fractals 34 3 (2007) 992-996
13. Huang Z.T., Luo X.S., and Yang Q.G. Global asymptotic stability analysis of bidirectional associative memory neural networks with distributed delays and impulse. Chaos, Solitons & Fractals 34 3 (2007) 878-885
14. Li C.H., and Yang S.Y. A further analysis on harmless delays in Cohen-Grossberg neural networks. Solitons & Fractals 34 2 (2007) 645-653
15. Li X., Huang L., and Zhu H. Global stability of cellular neural networks with constant and variable delays. Nonlinear Anal: Theor, Meth Appl 53 (2003) 319-333
16. Liang J., and Cao J. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delay. Chaos, Solitons & Fractals 22 4 (2004) 773-785
17. Liao X., and Wang J. Global dissipativity of continuous-time recurrent neural networks with time delay. Phys Rev E 68 (2003) 1-7
18. Lien C.H., and Chung L.Y. Global asymptotic stability for cellular neural networks with discrete and distributed time-varying delays. Chaos, Solitons & Fractals 34 4 (2007) 1213-1219
19. Lu H. Absolute exponential stability analysis of delayed neural networks. Phys Lett A 336 (2005) 133-140
20. Lu W., Rong L., and Chen T. Global convergence of delayed dynamical systems. Int J Neural Syst 13 (2003) 1-12
21. Park J.H., and Cho H.J. A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays. Chaos, Solitons & Fractals 33 2 (2007) 436-442
22. Sanchez E.N., Perez E.N., and Perez J.P. Input-to-state stability (ISS) analysis for dynamic neural networks. IEEE Trans Circ Syst I 46 11 (1999) 1395-1398
23. Singh V. Some remarks on global asymptotic stability of neural networks with constant time delay. Chaos, Solitons & Fractals 32 5 (2007) 1720-1724
24. Song Q., and Zhao Z. Global dissipativity of neural networks with both variable and unbounded delays. Chaos, Solitons & Fractals 25 (2005) 393-401
25. Song Q., and Cao J. Global exponential stability and existence of periodic solutions in BAM networks with delays and reaction-diffusion terms. Chaos, Solitons & Fractals 23 2 (2005) 421-430
26. Wu W., Cui B.T., and Huang M. Global asymptotic stability of delayed Cohen-Grossberg neural networks. Chaos, Solitons & Fractals 34 3 (2007) 872-877
27. Zhang J. Absolute stability of a class of neural networks with unbounded delay. Int J Circ Theor Appl 32 (2004) 11-21
28. Zhao W., and Zhang H. Globally exponential stability of neural network with constant and variable delays. Phys Lett A 352 4-5 (2006) 350-357
29. Hale J. Theory of Functional differential Equations (1977), Springer-Verlag