Improved result on stability analysis of discrete stochastic neural networks with time delay

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 17, 2009, Pages 1546-1552

  Wu, Zhengguang ^a   Su, Hongye ^a   Chu, Jian ^a   Zhou, Wuneng ^b  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

^b DONGHUA UNIVERSITY   (China)

Author keywords

Delay dependent; Exponential stability; Linear matrix inequality (LMI); Stochastic neural networks; Time varying delays

Indexed keywords

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; NUMERICAL METHODS; STABILITY CRITERIA; TIME DELAY; TIMING CIRCUITS;

DELAY DEPENDENT; DELAY DEPENDENT EXPONENTIAL STABILITY; LINEAR MATRIX INEQUALITY APPROACH; LYAPUNOV FUNCTIONALS; STABILITY CONDITION; STOCHASTIC NEURAL NETWORK; STOCHASTIC TIME DELAY; TIME VARYING- DELAYS;

STOCHASTIC SYSTEMS;

EID: 62649106578     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.02.056     Document Type: Article

References (42)

1. Arik S. IEEE Trans. Circuits Syst. I Fund. Theory Appl. 47 (2000) 568
2. Hale J. Theory of Functional Differential Equations (1977), Springer-Verlag, New York
3. In: Niculescu S.I., and Gu K. (Eds). Advances in Time-Delay Systems (2006), Springer, Berlin
4. He Y., Wu M., and She J. IEEE Trans. Neural Networks 17 (2006) 250
5. He Y., Liu G., and Rees D. IEEE Trans. Neural Networks 18 (2007) 310
6. Huang H., Cao J., and Wang J. Phys. Lett. A 298 (2002) 393
7. Yue D., Zhang Y., and Tian E. Int. J. Comput. Math. 85 (2008) 1265
8. Xu S., and Lam J. Neural Networks 19 (2006) 76
9. Cao J., and Wang J. IEEE Trans. Circuits Syst. I Reg. Papers 52 (2005) 417
10. Cao J., Yuan K., and Li H. IEEE Trans. Neural Networks 17 (2006) 1646
11. Kwon O.M., and Park J.H. Phys. Lett. A 373 (2009) 53
12. Kwon O.M., and Park J.H. Appl. Math. Comput. 203 (2008) 813
13. Song Q. Neurocomputing 71 (2008) 2823
14. Song Q., and Cao J. IEEE Trans. Syst. Man Cybern. Part B Cybern. 37 (2007) 733
15. Song Q., and Wang Z. Phys. Lett. A 368 (2007) 134
16. Chen W., Lu X., and Liang D. Phys. Lett. A 358 (2006) 186
17. Wu M., Liu F., Shi P., He Y., and Yokoyama R. IEEE Trans. Circuits Syst. II Express Briefs 55 (2008) 690
18. Zhao Y., Gao H., and Mou S. Neurocomputing 71 (2008) 2848
19. Mou S., Gao H., Lam J., and Qiang W. IEEE Trans. Neural Networks 19 (2008) 532
20. Liu Y., Wang Z., and Liu X. Neural Networks 19 (2006) 667
21. Wang Z., Shu H., Liu Y., Ho D.W.C., and Liu X. Chaos Solitons Fractals 30 (2006) 886
22. Xu S., Lam J., and Ho D.W.C. IEEE Trans. Circuits Syst. II Express Briefs 53 (2006) 230
23. Chen W., and Lu X.M. Phys. Lett. A 351 (2006) 53
24. Liu Y., Wang Z., Serrano A., and Liu X. Phys. Lett. A 362 (2007) 480
25. Zhang B., Xu S., and Zou Y. Neurocomputing 72 (2008) 321
26. Wang Z., Liu Y., Fraser K., and Liu X. Phys. Lett. A 354 (2006) 288
27. Wang Z., Liu Y., Li M., and Liu X. IEEE Trans. Neural Networks 17 (2006) 814
28. Li H., Chen B., Zhou Q., and Fang S. Phys. Lett. A 372 (2008) 3385
29. Liu Y., Wang Z., and Liu X. Nonlinear Dyn. 54 (2008) 199
30. Rakkiyappan R., Balasubramaniam R., and Lakshmanan S. Phys. Lett. A 372 (2008) 5290
31. Shu Z., and Lam J. Neurocomputing 71 (2008) 2950
32. Su W., and Chen Y. Commun. Nonlinear Sci. Numer. Simul. 14 (2009) 520
33. Wan L., Zhou Q., and Sun J. Int. J. Bifur. Chaos 17 (2007) 3219
34. Wang Z., Fang J., and Liu X. Chaos Solitons Fractals 36 (2008) 388
35. Liu Y., Wang Z., and Liu X. Neurocomputing 71 (2008) 823
36. Song Q., Liang J., and Wang Z. Neurocomputing 72 (2009) 1782
37. Luo M., Zhong S., Wang R., and Kang W. Appl. Math. Comput. 209 (2008) 305
38. He Y., Wu M., She J., and Liu G. IEEE Trans. Automat. Control 49 (2004) 828
39. He Y., Wang Q., Xie L., and Lin C. IEEE Trans. Automat. Control 52 (2007) 293
40. Xu S., and Lam J. IEEE Trans. Automat. Control 52 (2007) 95
41. Peng C., and Tian Y. J. Comput. Appl. Math. 214 (2008) 480
42. Peng C., and Tian Y. IET Control Theory Appl. 2 (2008) 752