Boundedness and stability for recurrent neural networks with variable coefficients and time-varying delays

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

Volumn 318, Issue 1-2, 2003, Pages 53-64

  Liang, Jinling ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Global exponential stability; Lyapunov functional; Non autonomous system; Recurrent neural networks; Ultimate boundedness; Young inequality

Indexed keywords

LYAPUNOV FUNCTIONS; LYAPUNOV METHODS; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

GLOBAL EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONALS; NON-AUTONOMOUS SYSTEM; ULTIMATE BOUNDEDNESS; YOUNG INEQUALITY;

RECURRENT NEURAL NETWORKS;

ARTICLE; EQUILIBRIUM CONSTANT; MATHEMATICAL ANALYSIS; MODEL; MOLECULAR DYNAMICS; MOLECULAR STABILITY; PHYSICS; SIMULATION;

EID: 0242318422     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2003.09.020     Document Type: Article

References (28)

1. L.O. Chua, L. Yang, IEEE Trans. Circuits Systems 35 (10) (1988) 1257.
2. L.O. Chua, L. Yang, IEEE Trans. Circuits Systems 35 (10) (1988) 1273.
3. T. Roska, L.O. Chua, Int. J. Circuit Theory Appl. 20 (1992) 469.
4. X.X. Liao, Sci. China Ser. A 24 (10) (1994) 1037 (in Chinese).
5. P.P. Civalleri, M. Gilli, L. Pandolfi, IEEE Trans. Circuits Systems 140 (3) (1993) 157.
6. J. Cao, Phys. Rev. E 59 (5) (1999) 5940.
7. H. Lu, Neural Networks 13 (2000) 1135.
8. H. Jiang, Z. Li, Z.D. Teng, Phys. Lett. A 306 (2003) 313.
9. J. Cao, Phys. Lett. A 267 (6-7) (2000) 312.
10. H. Huang, J. Cao, J. Wang, Phys. Lett. A 298 (5-6) (2002) 393.
11. M. Joy, Neural Networks 13 (2000) 613.
12. J. Cao, IEEE Trans. Circuits Systems 148 (11) (2001) 1330.
13. S. Arik, V. Tavsanoglu, IEEE Trans. Circuits Systems 147 (4) (2000) 571.
14. J. Cao, J. Comput. Systems Sci. 60 (1) (2000) 38.
15. J. Cao, Q. Li, J. Math. Anal. Appl. 252 (1) (2000) 50.
16. J. Cao, Phys. Lett. A 270 (2000) 157.
17. J. Cao, IEEE Trans. Circuits Systems 148 (4) (2001) 494.
18. J. Cao, Int. J. Systems Sci. 32 (2) (2001) 233.
19. T.A. Burton, Stability and Periodic Solutions of Ordinary and Functional Differential Equations, Academic Press, New York, 1985.
20. S. Li, L. Wen, Functional Differential Equations, Hunan Science and Technique Press, Changsha, 1987.
21. J. Cao, Phys. Lett. A 307 (2003) 136.
22. X. Huang, J. Cao, Phys. Lett. A 314 (3) (2003) 222.
23. J. Liang, J. Cao, Phys. Lett. A 314 (5-6) (2003) 434.
24. J. Cao, M. Dong, Appl. Math. Comput. 135 (1) (2003) 105.
25. J. Cao, J. Wang, IEEE Trans. Circuits Systems 150 (1) (2003) 34.
26. J. Cao, Appl. Math. Comput. 142 (2-3) (2003) 333.
27. D.S. Huang, H.H.S. Ip, Z. Chi, H.S. Wong, Phys. Lett. A 309 (2003) 443.
28. D.S. Huang, IEEE Trans. Systems Man Cybernet., Part B 28 (1998) 477.