Global robust stability of neural networks with multiple discrete delays and distributed delays

Chaos, Solitons and Fractals

Volumn 40, Issue 4, 2009, Pages 1823-1834

  Gao, Ming ^a   Cui, Baotong ^a  

^a JIANGNAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); STABILITY; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

COMPUTATIONALLY EFFICIENT; DISCRETE TIME-VARYING DELAYS; GLOBAL ROBUST STABILITY; LINEAR MATRIX INEQUALITY TECHNIQUES; LIPSCHITZ CONTINUOUS; LYAPUNOV STABILITY THEORY; ROBUST STABILITY CONDITIONS; UNCERTAIN NEURAL NETWORKS;

NEURAL NETWORKS;

EID: 65449128182     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.09.065     Document Type: Article

References (27)

1. Forti M., and Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circuits Syst I 42 (1995) 354-365
2. Joya G., Atencia M.A., and Sandoval F. Hopfield neural networks for optimization: study of the different dynamics. Neurocomputing 43 (2002) 219-237
3. Cao J., and Wang J. Global exponential stability and periodicity of recurrent neural networks with time delays. IEEE Trans Circuits Syst I 52 5 (2005) 920-931
4. Cao J., and Ho D.W.C. A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Chaos, Solitons & Fractals 24 (2005) 1317-1329
5. Huang H., Ho D.W.C., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans Circuits Syst II 52 5 (2005) 251-255
6. Chen B., and Wang J. Global exponential periodicity of a class of recurrent neural networks with oscillating parameters and time-varying delays. IEEE Trans Neural Networks 16 6 (2005) 1440-1448
7. Lou X., and Cui B. Absolute exponential stability analysis of delayed bi-directional associative memory neural networks. Chaos, Solitons & Fractals 31 (2007) 695-701
8. Zhang Q., Wei X., and Xu J. Stability analysis for cellular neural networks with variable delays. Chaos Solitons & Fractals 28 (2006) 331-336
9. Liao X., Li C., and Wong K. Criteria for exponential stability of Cohen-Grossberg neural networks. Neural Networks 17 10 (2004) 1401-1414
10. Li C., Liao X., and Zhang R. Global robust asymptotical stability of multi-delayed interval neural networks: an LMI approach. Phys Lett A 328 (2004) 452-462
11. Xu S., Lam J., and Ho D.W.C. Novel global robust stability criteria for interval neural networks with multiple time-varying delays. Phys Lett A 342 (2005) 322-330
12. Zuo Z., and Wang Y. Robust stability criterion for delayed cellular neural networks with norm-bounded uncertainties. IET Control Theory Appl 1 (2007) 387-392
13. Ruan S., and Filfil R.S. Dynamics of a two-neuron system with discrete and distributed delays. Physica D 191 (2004) 323-342
14. Wang Z., Liu Y., and Liu X. On global asymptotic stability of neural networks with discrete and distributed delays. Phys Lett A 345 (2005) 299-308
15. Cao J., Yuan K., and Li H. Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays. IEEE Trans Neural Networks 17 6 (2006) 1646-1651
16. Park J. An analysis of global robust stability of uncertain cellular neural networks with discrete and distributed delays. Chaos, Solitons & Fractals 32 (2007) 800-807
17. Yuan K., Cao J., and Li H. Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays. IEEE Trans Syst Man Cybernet-Part B 36 6 (2006) 1356-1363
18. Cao J., and Chen T. Globally exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons & Fractals 22 (2004) 957-963
19. Rong L. LMI-based criteria for robust stability of Cohen-Grossberg neural networks with delay. Phys Lett A 339 (2005) 63-73
20. Lou X., and Cui B. On the global robust asymptotic stability of BAM neural networks with time-varying delays. Neurocomputing 70 (2006) 273-279
21. Wang Z., Lauria S., Fang J., and Liu X. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitons & Fractals 32 (2007) 62-72
22. Ozcan N., and Arik S. Global robust stability analysis of neural networks with multiple time delays. IEEE Trans Circuits Syst I 53 1 (2006) 166-176
23. Li C., and Liao X. Global robust stability criteria for interval delayed neural networks via an LMI approach. IEEE Trans Circuits Syst II 53 9 (2006) 901-905
24. Wang W., and Cao J. LMI-based criteria for globally robust stability of delayed Cohen-Crossberg neural networks. IEE Proc Control Theory Appl 153 (2006) 397-402
25. Boyd S., EI Ghaoui L., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM, Philadelphia (PA)
26. Gu K., Kharitonov V., and Chen J. Stability of time-delay systems (2003), Birkhauser, Boston (MA)
27. Cao Y., Sun Y., and Cheng C. Delay-dependent robust stabilization of uncertain system with multiple state delays. IEEE Trans Automat Contr 43 (1998) 1608-1612