On exponential stability of bidirectional associative memory neural networks with time-varying delays

Chaos, Solitons and Fractals

Volumn 39, Issue 3, 2009, Pages 1083-1091

  Park, Ju H ^a   Lee, S M ^b   Kwon, O M ^c  

^a Yeungnam University   (South Korea)

^b KT Cooperation   (South Korea)

^c Chungbuk National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ASSOCIATIVE PROCESSING; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

BI-DIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS; DELAY DEPENDENT; EXPONENTIAL CONVERGENCE RATE; LINEAR MATRIX INEQUALITY TECHNIQUES; LYAPUNOV FUNCTIONAL METHOD; NOVEL CRITERION; TIME VARYING- DELAYS;

NEURAL NETWORKS;

EID: 62949167983     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.05.003     Document Type: Article

References (32)

1. Hopfield J. Neuron with graded response have collective computational properties like those of two-state neurons. Proc Natl Acad Sci USA 81 (1984) 3088-3092
2. Kosko B. Bidirectional associative memories. IEEE Trans Syst Man Cybernet 18 (1988) 49-60
3. Gopalsamy K., and He X.Z. Delay-independent stability in bidirectional associative memory networks. IEEE Trans Neural Networks 5 (1994) 998-1002
4. Cao J., and Wang L. Periodic oscillatory solution of bidirectional associative memory networks. Phys Rev E 61 (2000) 1825-1828
5. Guo S.J., Huang L.H., Dai B.X., and Zhang Z.Z. Global existence of periodic solutions of BAM neural networks with variable coefficients. Phys Lett A 317 (2003) 97-106
6. Cao J. Global asymptotic stability of delayed bi-directional associative memory neural networks. Appl Math Comput 142 (2003) 333-339
7. Zhao H. Global stability of bidirectional associative memory neural networks with distributed delays. Phys Lett A 297 (2002) 182-190
8. Chen A., Huang L., and Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays. Appl Math Comput 137 (2003) 177-193
9. Liang J., and Cao J. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays. Chaos, Solitons & Fractals 22 (2004) 773-785
10. Huang L., Huang C., and Liu B. Dynamics of a class of cellular neural networks with time-varying delays. Phys Lett A 345 (2005) 330-334
11. Park J.H. Delay-dependent criterion for guaranteed cost control of neutral delay systems. J Optim Theory Appl 124 (2005) 491-502
12. Hale J., and Verduyn Lunel S.M. Introduction to functional differential equations (1993), Springer-Verlag, New York
13. Park J.H. LMI optimization approach to asymptotic stability of certain neutral delay differential equation with time-varying coefficients. Appl Math Comput 160 (2005) 335-361
14. Park J.H. Robust stabilization for dynamic systems with multiple time-varying delays and nonlinear uncertainties. J Optim Theory Appl 108 (2001) 155-174
15. Kwon O.M., and Park J.H. Robust stabilization of uncertain systems with delays in control input: a matrix inequality approach. Appl Math Comput 172 2 (2006) 1070-1080
16. Park J.H., and Kwon O. On guaranteed cost control of neutral systems by retarded integral state feedback. Appl Math Comput 165 (2005) 393-404
17. Park J.H. Stability for a competitive Lotka-Volterra system with delays: LMI optimization approach. Appl Math Lett 18 (2005) 689-694
18. Park J.H., and Kwon O. On new stability criterion for delay-differential systems of neutral type. Appl Math Comput 162 (2005) 627-637
19. Park J.H. Robust non-fragile control for uncertain discrete-delay large-scale systems with a class of controller gain variations. Appl Math Comput 149 (2004) 147-164
20. Cao J., Liang J., and Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delay. Physica D 199 (2004) 425-436
21. Park J.H. A novel criterion for global asymptotic stability of BAM neural networks with time delays. Chaos, Solitons & Fractals 29 (2006) 446-453
22. Liao X., Chen G., and Sanchez E. Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Networks 15 (2002) 855-866
23. Yucel E., and Arik S. New exponential stability results for delayed neural networks with time varying delays. Physica D 191 (2004) 314-322
24. Li Y. Global exponential stability of BAM neural networks with delays and impulses. Chaos, Solitons & Fractals 24 (2005) 279-285
25. Huang X., Cao J., and Huang D.S. LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks. Chaos, Solitons & Fractals 24 (2005) 885-898
26. Huang X., Cao J., and Huang D. LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks. Chaos, Solitions & Fractals 24 (2005) 885-898
27. Cao J., and Dong M. Exponential stability of delayed bidirectional associative memory networks. Appl Math Comput 135 (2003) 105-112
28. Cao J., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delay. IEEE Trans Neural Networks 13 (2002) 457-463
29. Zhang Q., Wei X., and Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 (2005) 1363-1369
30. Boyd B., Ghaoui L.E., Feron E., and Balakrishnan V. Linear matrix inequalities in systems and control theory (1994), SIAM, Philadelphia
31. Gahinet P., Nemirovski A., Laub A., and Chilali M. LMI control toolbox user's guide (1995), The Mathworks, Massachusetts
32. Gu K. An integral inequality in the stability problem of time-delay systems. In: Proceedings of IEEE conference decision control. Sydney, Australia: December 2000. p. 2805-10.