Stability of non-autonomous bidirectional associative memory neural networks with delay

Neurocomputing

Volumn 71, Issue 4-6, 2008, Pages 863-874

  Jiang, Minghui ^a   Shen, Yi ^b  

^a CHINA THREE GORGES UNIVERSITY   (China)

^b HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Exponential stability; Matrix function inequality; Non autonomous bidirectional associative memory neural networks; Periodic solution

Indexed keywords

ALGORITHMS; ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; TIME VARYING SYSTEMS;

GAINES AND MAWHIN'S CONTINUATION THEOREM; MATRIX FUNCTION INEQUALITY; NON-AUTONOMOUS BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS; PERIODIC SOLUTION;

NEURAL NETWORKS;

ALGORITHM; ARTICLE; ARTIFICIAL NEURAL NETWORK; ASSOCIATIVE MEMORY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; THEORETICAL STUDY;

EID: 38649109185     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2007.03.002     Document Type: Article

References (24)

1. Arik S. Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays. IEEE Trans. Neural Networks 16 (2005) 580-586
2. Arik S., and Tavsanoglu V. Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays. Neurocomputing 68 (2005) 161-176
3. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Philadelphia
4. Cao J., Ho D.W.C., and Huang X. LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay. Nonlinear Anal. 66 (2007) 1558-1572
5. Cao J., and Liang J. Boundedness and stability for Cohen-Grossberg neural networks with time-varying delays. J. Math. Anal. Appl. 296 (2004) 665-685
6. Cao J., Liang J., and Lam J. Exponential stability of high-order bidirectional associative memory neural networks with time delays. Physica D 199 (2004) 425-436
7. Cao J., and Song Q. Stability in Cohen-Grossberg type BAM networks with time-varying delays. Nonlinearity 19 (2006) 1601-1617
8. Cao J., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans. Neural Networks 13 (2002) 457-463
9. Chen M., Chen Z., and Chen G. Approximate Solution of Operation Equations (1997), World Scientific, Singapore
10. Feng C., and Plamondon R. Robust stability of interval bidirectional associative memory neural network with time delays. IEEE Trans. Neural Networks 14 (2003) 1560-1565
11. Jiang M., Shen Y., and Liao X. Global stability of periodic solution for bidirectional associative memory neural networks with varying-time delay. Appl. Math. Comput. 182 (2006) 509-520
12. Jiang H., and Teng Z. Boundedness and stability for nonautonomous bidirectional associative neural networks with delay. IEEE Trans. Circuits Syst. II 51 (2004) 174-180
13. Kosko B. Bidirectional associative memories Systems. IEEE Trans. Man Cybern. 18 (1988) 49-60
14. Liao X., and Yu J. Qualitative analysis of bi-directional associative memory with time delay. Int. J. Circuit Theory Appl. 26 (1998) 219-229
15. Liao X., Yu J., and Chen G. Novel stability criteria for bidirectional associative memory neural networks with time delays. Int. J. Circuit Theory Appl. 30 (2002) 519-546
16. Liao X., and Wong K. Robust stability of interval bidirectional associative memory neural network with time delays. IEEE Trans. Systems Man Cybern. Part B: Cybern. 34 (2004) 124-131
17. Libin R. LMI approach for global periodicity of neural networks with time-varying delays. IEEE Trans. Circuits Syst. I 52 (2005) 1451-1458
18. Maundy B., and Masry E. A switched capacitor bidirectional associative memory. IEEE Trans. Circuits Syst. 37 (1990) 1568-1572
19. Mohamad S. Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks. Physica D 159 (2001) 233-251
20. Park H. A novel criterion for global asymptotic stability of BAM neural networks with time delays. Chaos, Solitons and Fractals 29 (2006) 446-453
21. Rouche N., and Mawhin J. Ordinary Differential Equations: Stability and Periodic Solutions (1980), Pitman, Boston
22. Singh V. A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans. Neural Networks 15 (2004) 223-225
23. Yi Z., and Tan K.K. Convergence Analysis of Recurrent Neural Networks (2003), Kluwer Academic Publishers, Dordrecht
24. Zhao H. Global stability of bidirectional associative memory neural networks with distributed delays. Phys. Lett. A 30 (2002) 519-546