New LMI-based condition on global asymptotic stability concerning BAM neural networks of neutral type

Neurocomputing

Volumn 81, Issue , 2012, Pages 24-32

  Zhang, Zhengqiu ^a   Liu, Kaiyu ^a   Yang, Yan ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

BAM neural networks of neutral type; Global asymptotic stability; Homeomorphism theory; Lyapunov functional; Matrix equations; The existence and uniqueness of an equilibrium point

Indexed keywords

EXISTENCE AND UNIQUENESS; GLOBAL ASYMPTOTIC STABILITY; HOMEOMORPHISM THEORY; LYAPUNOV FUNCTIONALS; MATRIX EQUATIONS; NEUTRAL TYPE;

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS;

NEURAL NETWORKS;

ARTICLE; GLOBAL ASYMPTOTIC STABILITY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; NERVE CELL NETWORK; PRIORITY JOURNAL; STATISTICAL CONCEPTS;

EID: 84856402282     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2011.10.006     Document Type: Article

References (33)

1. Kosko B. Adaptive bi-directional associative memories. Appl. Opt. 1987, 26:4947-4960.
2. Kosko B. Bi-directional associative memories. IEEE Trans. Syst. Man Cybern. 1988, 18:49-60.
3. Chen A., Huang L., Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays. Appl. Math. Comput. 2003, 137(1):177-193.
4. Liu H.Y., Ou Y., Hu J., Liu T.T. Delay-dependent stability analysis for continuous-time BAM neural networks with Markovian jumping parameters. Neural Networks 2010, 23(3):315-321.
5. Cao J. Global asymptotic stability of delayed bi-directional associative memory neural networks. Appl. Math. Comput. 2003, 142(2-3):333-339.
6. Cao J., Ho D.W.C. A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Chaos Solitons Fractals 2005, 24(5):1317-1329.
7. Cao J., Hob D.W.C., Luang X. LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay. Nonlinear Anal. 2007, 66(7):1558-1572.
8. Lou X., Cui B. On the global robust asymptotic stability of BAM neural networks with time-varying delays. Neurocomputing 2006, 70(1-3):273-279.
9. Arik S. Global asymptotic stability of hybrid BAM neural networks with time delays. Phys. Lett. A 2006, 351(1-2):85-91.
10. Yang H., Chu T., Zhang C. Exponential stability of neural networks with variable delays via LMI approach. Chaos Solitons Fractals 2006, 30(1):133-139.
11. Liou T., Yan J., Cheng C., Huang C. Global exponential stability condition of a class of neural networks with time-varying delays. Phys. Lett. A 2003, 339(3-5):333-342.
12. Zhang Y., Guo L., Feng C. Stability analysis on a neutral neural networks model. Lecture Notes in Computer Science 2005, vol. 3644:697-706.
13. Park J.H., Park C.H., Kwon O.M., Lee S.M. A new stability criterion for bidirectional associative memory neural networks of neutral-type. Appl. Math. Comput. 2008, 199(2):716-722.
14. Park J.H., Kwon O.M., Lee S.M. LMI optimization approach on stability for delayed neural networks of neutral-type. Appl. Math. Comput. 2008, 196(1):236-244.
15. Qiu J., Cao J. Delay-dependent robust stability of neutral-type neural networks with time delays. J. Math. Control Sci. Appl. 2007, 1:179-188.
16. Xu S., Lam J., Ho D.W.C., Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays. J. Comput. Appl. Math. 2005, 183(1):16-28.
17. Xu S., Lam J., Ho D.W.C., Zou Y. Novel global asymptotic stability criteria for delayed cellular neural networks. IEEE Trans. Circuits Syst. II 2005, 52(6):349-353.
18. Xu S., Lam J. A new approach to exponential stability analysis of neural networks with time-varying delays. Neural Networks 2006, 19(1):76-83.
19. S. Xu, J. Lam, A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks, IEEE Trans. Circuits Syst. 53(3) (2006) 230-234.
20. J.F., S.Y. Xu, Y. Zou, Delay-dependent stability of neutral type neural networks with distributed delays, Neurocomputing 72(10-12) (2009) 2576-2580.
21. Liu J., Zong G.D. New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type. Neurocomputing 2009, 72(10-12):2549-2555.
22. Zhang H.G., Liu Z.W., Huang G.B. Novel Delay-dependent robust stability analysis for switched neutral-type neural networks with time-varying delays. IEEE Trans. Syst. Man Cybern. B Cybern. 2010, 40(6):1480-1490.
23. Cheng C., Liao C., Yan J., Hwang C. Global asymptotic stability of a class of neutral-type neural networks with delays. IEEE Trans. Syst. Man Cybern. B Cybern. 2006, 36(5):1191-1195.
24. Wang Z.S., Zhang H.G., Li P. An LMI approach to stability analysis of reaction-diffusion Cohen-Grossberg neural networks concerning Dirichlet boundary conditions and distributed delays. IEEE Trans. Syst. Man Cybern. B Cybern. 2010, 40(6):1596-1606.
25. Zhang H.G., Wang Z.S., Liu D.R. Global asymptotic stability and robust stability of a class of Cohen-Grossberg neural networks with mixed delays. IEEE Trans. Circuit Syst. 1: Regular Papers 2009, 56(3):616-628.
26. Phat V.N., Trinh H. Exponential stabilization of neural networks with various activation functions and mixed time-varying delays. IEEE Trans. Neural Networks 2010, 21(7):1180-1184.
27. Wang L.S., Zhang Y., Zhang Z., Wang Y.F. LMI-based approach for global exponential robust stability for reaction-diffusion uncertain neural networks with time-varying delay. Chaos Solitons Fractals 2009, 41(2):900-905.
28. Chen L., Zhao H.Y. New LMI conditions for global exponential stability of cellular neural networks with delays. Nonlinear Anal. Real World Appl. 2009, 10(1):287-297.
29. Forti M., Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problem. IEEE Trans. Circuit Syst. I Fund. Theory Appl. 1995, 42(7):354-366.
30. Park J.H., Kwon O.M. Delay-dependent stability criterion for bidirectional associative memory neural networks with interval time-varying delays. Mod. Phys. Lett. B 2009, 23(1):35-46.
31. Park J.H., Kwon O.M. On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays. Appl. Math. Comput. 2008, 99(2):435-446.
32. Park J.H., Lee S.M., Kwon O.M. On exponential stability of bidirectional associative memory neural networks with time-varying delays. Chaos Solitons Fractals 2009, 39(3):1083-1091.
33. Lee S.M., Kwon O.M., Park J.H. A novel delay-dependent criterion for delayed neural networks of neutral type. Phys. Lett. A 2010, 374(17-18):1843-1848.