Delay-dependent stability of neutral type neural networks with distributed delays

Neurocomputing

Volumn 72, Issue 10-12, 2009, Pages 2576-2580

  Feng, Jun e ^a,b   Xu, Shengyuan ^b   Zou, Yun ^b  

^a SHANDONG UNIVERSITY   (China)

^b NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Delay dependent conditions; Discrete delays; Distributed delays; Global asymptotic stability; Linear matrix inequality; Neural networks

Indexed keywords

DELAY-DEPENDENT CONDITIONS; DELAY-DEPENDENT STABILITIES; DELAYED NEURAL NETWORKS; DISCRETE DELAYS; DISTRIBUTED DELAYS; EQUILIBRIUM POINTS; GLOBAL ASYMPTOTIC STABILITY; GLOBALLY ASYMPTOTICALLY STABLES; NEUTRAL-TYPE NEURAL NETWORKS; NUMERICAL EXAMPLES; STABILITY ANALYSIS; STABILITY CONDITIONS; UNBOUNDED DISTRIBUTED DELAYS;

ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; DELAY CONTROL SYSTEMS; FUZZY CONTROL; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

NEURAL NETWORKS;

ANALYTIC METHOD; ARTICLE; ARTIFICIAL NEURAL NETWORK; LINEAR SYSTEM; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL PARAMETERS; MATHEMATICS; PRIORITY JOURNAL;

EID: 67349191474     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2008.10.018     Document Type: Article

References (28)

1. Chua L.O. CNN: A Paradigm for Complexity (1998), World Scientific, Singapore
2. Fang Y., and Kincaid T.G. Stability analysis of dynamical neural network networks. IEEE Trans. Neural Networks 7 (1996) 996-1006
3. Michel A.N., and Liu D. Qualitative Analysis and Synthesis of Recurrent Neural Networks (2002), Marcel Dekker, New York
4. 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
5. Hahnloser R.L.T. On the piecewise analysis of linear threshold neural networks. Neural Networks 11 (1998) 691-697
6. Liu X., and Chen T. A new result on the global convergence of Hopfield neural networks. IEEE Trans. Circuits Syst. I 49 (2002) 1514-1516
7. Meyer-Base A., Roberts R., and Yu H.G. Robust stability analysis of competitive neural networks with different time-scales under perturbations. Neurocomputing 71 (2007) 417-420
8. Arik S. An analysis of exponential stability of delayed neural networks with time varying delays. Neural Networks 17 (2004) 1027-1031
9. Cao J., Liang J., and Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D 199 (2005) 425-436
10. Cao J., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans. Circuits Syst. I 52 2 (2005) 417-426
11. Li T., Guo L., and Sun C. Further result on asymptotic stability criterion of neural networks with time-varying delays. Neurocomputing 71 (2007) 439-447
12. Wu W., Cui B.T., and Lou X.Y. Some criteria for asymptotic stability of Cohen-Grossberg neural networks with time-varying delays. Neurocomputing 70 (2007) 1085-1088
13. 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
14. Xu S., Lam J., Ho D.W.C., and Zou Y. Global robust exponential stability analysis for interval recurrent neural networks. Phys. Lett. A 325 (2004) 124-133
15. Cao J., Yuan K., and Li H.-X. Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays. IEEE Trans. Neural Networks 17 (2006) 1646-1651
16. Park J.H. Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays. Appl. Math. Comput. 182 (2006) 1661-1666
17. Park J.H. An analysis of global robust stability of uncertain cellular neural networks with discrete and distributed delays. Chaos Solitons Fractals 32 (2007) 800-807
18. Chen W.-H., and Zheng W.X. Global asymptotic stability of a class of neural networks with distributed delays. IEEE Trans. Circuits Syst. I 53 (2007) 644-652
19. Guo S., and Huang L. Exponential stability and periodic solutions of neural networks with continuously distributed delays. Phys. Rev. E 67 (2003) 011902
20. Song Q., and Cao J. Global exponential stability of bidirectional associative memory neural networks with distributed delays. J. Comput. Appl. Math. 202 (2006) 266-279
21. Yang H., and Chu T. LMI conditions for stability of neural networks with distributed delays. Chaos Solitons Fractals 34 (2007) 557-563
22. Rakkiyappan R., and Balasubramaniam P. New global exponential stability results for neutral type neural networks with distributed time delays. Neurocomputing 71 (2008) 1039-1045
23. Gu K., Kharitonov V.L., and Chen J. Stability of Time-Delay Systems (2003), Birkhäuser, Boston
24. Lin C., Wang Q.-G., and Lee T.H. A less conservative robust stability test for linear uncertain time-delay systems. IEEE Trans. Automat. Control 51 (2006) 87-91
25. Boyd S., El Ghaoui L., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory. SIAM Studies in Applied Mathematics (1994), SIAM, Philadelphia, PA
26. K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, December, 2000, pp. 2805-2810.
27. Kolmanovskii V.B., and Myshkis A.D. Introduction to the Theory and Applications of Functional Differential Equations (1999), Kluwer Academic Publishers, Dordrecht
28. Xu S., Lam J., Ho D.W.C., and Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays. J. Comput. Appl. Math. 183 (2005) 16-28