LMI-based criteria for global robust stability of bidirectional associative memory networks with time delay

Nonlinear Analysis, Theory, Methods and Applications

Volumn 66, Issue 7, 2007, Pages 1558-1572

  Cao, Jinde ^a   Ho, Daniel W C ^b   Huang, Xia ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

BAM neural networks; Global robust stability; Linear Matrix Inequality (LMI); Lyapunov function

Indexed keywords

LYAPUNOV METHODS; MATRIX ALGEBRA; NEURAL NETWORKS; ROBUSTNESS (CONTROL SYSTEMS);

BIDIRECTIONAL ASSOCIATIVE MEMORY (BAM); EQUILIBRIUM POINT; GLOBAL ROBUST STABILITY; LINEAR MATRIX INEQUALITY (LMI);

DATA STORAGE EQUIPMENT;

EID: 33846058657     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.02.009     Document Type: Article

References (28)

1. Kosko B. Neural Networks and Fuzzy Systems-A Dynamical System Approach to Machine Intelligence (1992), Prentice-Hall, Englewood Cliffs, NJ
2. Kosko B. Adaptive bi-directional associative memories. Appl. Opt. 26 23 (1987) 4947-4960
3. Kosko B. Bi-directional associative memories. IEEE Trans. Syst. Man Cybernet. 18 1 (1988) 49-60
4. Chen A., Huang L., and Cao J. Existence and stability of almost periodic solution for BAM neural networks with delays. Appl. Math. Comput. 137 1 (2003) 177-193
5. Cao J., and Wang L. Periodic oscillatory solution of bidirectional associative memory networks with delays. Phys. Rev. E 61 2 (2000) 1825-1828
6. Cao J., and Dong M. Exponential stability of delayed bidirectional associative memory networks. Appl. Math. Comput. 135 (2003) 105-112
7. Cao J., Huang D.-S., and Qu Y. Global robust stability of delayed recurrent neural networks. Chaos Solitons Fractals 23 1 (2005) 221-229
8. Liao X.F., Liu G.Y., and Yu J.B. Neural networks of bi-directional associative memory with axonal signal transmission delays. J. Electron. 19 4 (1997) 439-444 (in Chinese)
9. Liao X.F., and Yu J.B. Qualitative analysis of bi-directional associative memory with time delays. Int. J. Circuit Theory Appl. 26 3 (1998) 219-229
10. Liao X.F., Liu G.Y., and Yu J.B. Qualitative analysis of continuous bi-directional associative memory model. J. Circuits Syst. 2 2 (1996) 13-18 (in Chinese)
11. Cao J., and Wang L. Exponential stability and periodic oscillatory solution in BAM networks with delays. IEEE Trans. Neural Networks 13 2 (2002) 457-463
12. Zhang Y. Qualitative analysis of bi-directional associative memory neural networks with delays. J. Comput. Res. Dev. 36 2 (1999) 150-155 (in Chinese)
13. Gopalsamy K., and He X.Z. Delayed-independent stability in bidirectional associative memory networks. IEEE Trans. Neural Networks 5 6 (1994) 998-1002
14. Sree Hari Rao V., Phaneendra Bh.R.M., and Prameela V. Global dynamics of bidirectional associative memory networks with transmission delays. Differ. Equ. Dyn. Syst. 4 (1996) 453-471
15. Sree Hari Rao V., and Phaneendra Bh.R.M. Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones. Neural Netw. 12 (1999) 455-465
16. Zhao H. Global stability of bidirectional associative memory neural networks with distributed delays. Phys. Lett. A 297 (2002) 182-190
17. Gopalsamy K., and He X. Stability in asymmetric Hopfield nets with transmission delays. Physica D 76 (1994) 344-358
18. Boyd S., EI Ghaoui L., Feron E., and Balakrishman V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Phiadelphia, PA
19. Wei J.J., and Ruan S.G. Stability and bifurcation in a neural network model with two delays. Physica D 130 (1999) 255-272
20. Liao X.F., Chen G.R., and Sanchez E.N. LMI-based approach for asymptotical stability analysis of delayed neural networks. IEEE Trans. Circuits Syst. I 49 7 (2002) 1033-1039
21. Liao X.F., Chen G.R., and Sanchez E.N. Delay-dependent exponential stability analysis of delayed neural networks: an LMI approach. Neural Netw. 15 (2002) 855-866
22. Cao J. Global asymptotic stability of delayed bidirectional associative memory neural networks. Appl. Math. Comput. 142 2-3 (2003) 333-339
23. Ye H., and Michel A.N. Robust stability of nonlinear time-delay systems with applications to neural networks. IEEE Trans. Circuits Syst. I 43 (1996) 532-543
24. Hu S.Q., and Wang J. Global exponential stability of continuous-time interval neural networks. Phys. Rev. E 65 art. no. 036133 (2002)
25. Liao X.F., and Yu J.B. Robust stability for interval Hopfield neural networks with time delay. IEEE Trans. Neural Netw. 9 (1998) 1042-1045
26. Liao X.F., Wong K.W., Wu Z., and Chen G. Novel robust stability for interval-delayed hopfield neural networks. IEEE Trans. Circuits Syst. I 48 (2001) 1355-1359
27. Arik S. Global robust stability of delayed neural networks. IEEE Trans. Circuits Syst. I 50 1 (2003) 156-160
28. Cao J., and Chen T. Globally exponentially robust stability and periodicity of delayed neural networks. Chaos Solitons Fractals 22 4 (2004) 957-963