New results on global exponential stability of recurrent neural networks with time-varying delays

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

Volumn 352, Issue 4-5, 2006, Pages 371-379

  Xu, Shengyuan ^a   Chu, Yuming ^b   Lu, Junwei ^c  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b HUZHOU UNIVERSITY   (China)

^c NANJING NORMAL UNIVERSITY   (China)

Author keywords

Exponential stability; Linear matrix inequality; Recurrent neural networks; Time varying delays

Indexed keywords

ASYMPTOTIC STABILITY; CHEMICAL ACTIVATION; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

ACTIVATION FUNCTIONS; EQUILIBRIUM POINT; GLOBAL EXPONENTIAL STABILITY; HALANAY INEQUALITY; LIPSCHITZ CONTINUOUS; MONOTONE NONDECREASING ACTIVATION FUNCTIONS; STABILITY RESULTS; TIME VARYING- DELAYS;

RECURRENT NEURAL NETWORKS;

EID: 33644982553     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.12.031     Document Type: Article

References (30)

1. S. Arik Phys. Lett. A 311 2003 504
2. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan Linear Matrix Inequalities in System and Control Theory SIAM Studies in Applied Mathematics 1994 SIAM Philadelphia, PA
3. J. Cao, and J. Wang IEEE Trans. Circuits Systems I 50 2003 34
4. J. Cao, and J. Wang Neural Networks 17 2004 379
5. J. Cao, and D. Zhou Neural Networks 11 1998 1601
6. L.O. Chua CNN: A Paradigm for Complexity 1998 World Scientific Singapore
7. L.O. Chua, and L. Yang IEEE Trans. Circuits Systems 35 1988 1273
8. M. Forti, and A. Tesi IEEE Trans. Circuits Systems I 42 1995 354
9. I. Györi, and F. Hartung J. Comput. Appl. Math. 157 2003 73
10. A. Halanay Differential Equations: Stability, Oscillations, Time Lags 1966 Academic Press New York
11. C.-C. Hwang, C.-J. Cheng, and T.-L. Liao Phys. Lett. A 319 2003 157
12. M. Joy Neural Networks 13 2000 613
13. E. Kaszkurewicz, and A. Bhaya IEEE Trans. Circuits Systems I 41 1994 171
14. X. Liao, and K. Wong IEEE Trans. Systems Man Cybernet. Part B 34 2004 1142
15. W. Lu, L. Rong, and T. Chen Int. J. Neural Systems 13 2003 193
16. K. Matsuoka Neural Networks 5 1992 495
17. A.N. Michel, J.A. Farrel, and W. Porod IEEE Trans. Circuits Systems 36 1989 229
18. A.N. Michel, and D. Liu Qualitative Analysis and Synthesis of Recurrent Neural Networks 2002 Marcel Dekker New York
19. S. Mohamad Physica D 159 2001 233
20. H. Qiao, J. Peng, B. Xu, and Z.-B. Zhang IEEE Trans. Systems Man Cybernet. Part B 33 2003 925
21. P. Van Den Driessche, and X. Zou SIAM J. Appl. Math. 6 1998 1878
22. L. Wang, and X. Zou Physica D 170 2002 162
23. D. Xu, H. Zhao, and H. Zhu Comput. Math. Appl. 42 2001 39
24. S. Xu, T. Chen, and J. Lam IEEE Trans. Automat. Control 48 2003 900
25. S. Xu, J. Lam, and D.W.C. Ho Phys. Lett. A 342 2005 322
26. S. Xu, J. Lam, D.W.C. Ho, and Y. Zou Phys. Lett. A 325 2004 124
27. E. Yucel, and S. Arik Physica D 191 2004 314
28. J. Zhang IEEE Trans. Circuits Systems I 50 2003 288
29. Q. Zhang, X. Wei, and J. Xu Phys. Lett. A 38 2003 537
30. D. Zhou, and J. Cao Appl. Math. Comput. 131 2002 487