Global robust asymptotical stability of multi-delayed interval neural networks: An LMI approach

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

Volumn 328, Issue 6, 2004, Pages 452-462

  Li, Chuandong ^a   Liao, Xiaofeng ^a   Zhang, Rong ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

Interval delayed neural networks (IDNN); Linear matrix inequality (LMI); Lyapunov functional; Multiple time varying delays; Robust stability

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NEURAL NETWORKS; ROBUSTNESS (CONTROL SYSTEMS); TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

FUNCTIONAL DIFFERENTIAL EQUATIONS; GLOBAL ROBUST ASYMPTOTIC STABILITIES; INTERVAL DELAYED NEURAL NETWORKS; LINEAR MATRIX INEQUALITY TECHNIQUES; LYAPUNOV FUNCTIONALS; LYAPUNOV-KRASOVSKII STABILITY THEORY; MULTIPLE TIME VARYING DELAYS; ROBUST STABILITY;

STABILITY CRITERIA;

ARTICLE; ARTIFICIAL NEURAL NETWORK; LINEAR SYSTEM; MATHEMATICAL ANALYSIS; PHYSICS; THEORY;

EID: 3242878507     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2004.06.053     Document Type: Article

References (22)

1. S. Arik Phys. Lett. A 311 2003 504
2. J. Cao Phys. Lett. A 307 2003 136
3. Q. Zhang Phys. Lett. A 318 2003 182
4. S. Arik IEEE Trans. Circuits Systems I 47 2000 1089
5. T. Roska, C.W. Wu, M. Balsi and L.O. Chua IEEE Trans. Circuits Systems 39 1992 487
6. H. Rao and R.M. Phaneendra Neural Networks 12 1999 455
7. X. Liao and J. Yu Int. J. Circuit Theory Appl. 26 1998 219
8. X. Liao, K.W. Wong and J. Yu Int. J. Bifur. Chaos 11 7 2001 1835
9. X. Liao, J. Yu and G. Chen Int. J. Circuit Theory Appl. 30 2002 519
10. X. Liao, K.W. Wong, Z. Wu and G. Chen IEEE Trans. Circuits Systems 49 11 2001 1355
11. X. Liao, Z. Wu and J. Yu J. Comput. Appl. Math. 143 2002 29
12. X. Liao, G. Chen and E.N. Sanchez IEEE Trans. Circuits Systems 49 7 2002 1033
13. X. Liao, G. Chen and E.N. Sanchez Neural Networks 15 2002 855
14. S. Boyd, L. El Ghaoui, E. Feron and V. Balakrishnan Linear Matrix Inequalities in System and Control Theory 1994 SIAM Philadelphia, PA
15. Y. Nesterov and A. Nemirovsky Interior Point Polynomial Methods in Convex Programming 1994 SIAM Philadelphia, PA
16. X. Liao and J. Yu IEEE Trans. Neural Networks 9 1998 1042
17. X. Liao, K.-W. Wong, Z. Wu and G. Chen IEEE Trans. Circuits Systems I 48 2001 1355
18. X. Liao and J. Wang Int. J. Neural Systems 13 2 2003
19. S. Arik IEEE Trans. Circuits Systems I 50 2003 156
20. J.K. Hale and S.M.V. Lunel Introduction to the Theory of Functional Differential Equations 1991 Springer New York
21. J. Cao and Q. Li J. Math. Anal. Appl. 252 2000 50
22. J. Cao Phys. Lett. A 270 2000 157