LMI-based criteria for robust stability of Cohen-Grossberg neural networks with delay

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

Volumn 339, Issue 1-2, 2005, Pages 63-73

  Rong, Libin ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Delayed Cohen Grossberg neural networks; Global robust stability; LMI; Lyapunov functionals

Indexed keywords

LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA;

COHEN-GROSSBERG NEURAL NETWORKS; EQUILIBRIUM POINT; GLOBAL ROBUST STABILITY; LINEAR MATRIX INEQUALITY TECHNIQUES; LYAPUNOV FUNCTIONALS; LYAPUNOV STABILITY THEORY; ROBUST STABILITY; ROBUST STABILITY ANALYSIS;

NEURAL NETWORKS;

ANALYTICAL ERROR; ARTICLE; ARTIFICIAL NEURAL NETWORK; MATHEMATICAL ANALYSIS;

EID: 17144364278     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.03.023     Document Type: Article

References (34)

1. X. Liao, and J. Yu IEEE Trans. Neural Networks 9 1998 1042
2. X. Liao, K. Wong, Z. Wu, and G. Chen IEEE Trans. Circuits Systems I 48 11 2001 1355
3. X. Liao, J. Wang, and J. Cao Int. J. Neural Systems 13 3 2003 171
4. V. Singh IEEE Proc. Control Theory Appl. 151 1 2004 125
5. S. Arik IEEE Trans. Circuits Systems I 50 1 2003 156
6. S. Arik, and V. Tavsanoglu IEEE Trans. Circuits Systems I 47 4 2000 571
7. S. Arik IEEE Trans. Circuits Systems I 47 2000 1089
8. H. Ye, A. Michel, and K. Wang IEEE Trans. Circuits Systems I 43 7 1996 532
9. T. Chen, and L. Rong IEEE Trans. Neural Networks 15 1 2004 203
10. W. Lu, L. Rong, and T. Chen Int. J. Neural Systems 13 3 2003 193
11. M. Cohen, and S. Grossberg IEEE Trans. Systems Man Cybernet. 13 1983 815
12. K. Gopalsamy, and X. He Physica D 76 1994 344
13. M. Joy J. Math. Anal. Appl. 232 1999 61
14. T. Liao, and F. Wang IEEE Trans. Neural Networks 11 6 2000 1481
15. J. Cao IEEE Trans. Circuits Systems I 48 11 2001 1330
16. Y. Li Chaos Solitons Fractals 20 2004 459
17. S. Arik IEEE Trans. Neural Networks 13 5 2002 1239
18. S. Arik IEEE Trans. Circuits Systems I 49 8 2002 1211
19. C. Hwang, C. Cheng, and T. Liao Phys. Lett. A 319 2003 157
20. X. Liao, G. Chen, and E. Sanchez Neural Networks 15 2002 855
21. X. Liao, G. Chen, and E. Sanchez IEEE Trans. Circuits Systems I 49 7 2002 1033
22. P. Van Den Driessche, and X. Zou SIAM J. Appl. Math. 58 6 1998 1878
23. T. Chen, and L. Rong Phys. Lett. A 317 2003 436
24. L. Wang, and X. Zou Physica D 170 2002 162
25. L. Wang, and X. Zou Neural Networks 15 2002 415
26. H. Ye, A. Michel, and K. Wang Phys. Rev. E 51 1995 2611
27. S. Xu, J. Lam, D. Ho, and Y. Zou Phys. Lett. A 325 2004 124
28. L. Xie, M. Fu, and C. de Souza IEEE Trans. Automat. Control 37 8 1992 1253
29. C. Du, and L. Xie IEEE Trans. Circuits Systems I 46 11 1999 1371
30. F. Yang, and Y. Hung IEEE Trans. Circuits Systems I 49 8 2002 1236
31. L. Rong, W. Lu, and T. Chen Chin. Ann. Math. 25 2 2004 255
32. S. Boyd Linear Matrix Inequalities in System and Control Theory 1994 SIAM Philadelphia
33. L. Shampine, and S. Thompson Appl. Numer. Math. 37 2001 441
34. P. Gahinet, A. Nemirovski, A.J. Laub, and M. Chilali LMI Control Toolbox - For Use with Matlab 1995 MATH Works