A delay-decomposition approach for stability of neural network with time-varying delay

Chinese Physics B

Volumn 18, Issue 12, 2009, Pages 5203-5211

  Qiu, Fang ^a,b   Cui, Bao Tong ^a   Ji, Yan ^a  

^a JIANGNAN UNIVERSITY   (China)

^b BINZHOU UNIVERSITY   (China)

Author keywords

Global asymptotical stability; Neural system; Time varying delay

Indexed keywords

ASYMPTOTICAL STABILITY; DECOMPOSITION APPROACH; DELAY-DEPENDENT; DELAY-DEPENDENT STABILITY CONDITION; GLOBAL ASYMPTOTICAL STABILITY; LYAPUNOV MATRIX; NEURAL SYSTEMS; NUMERICAL EXAMPLE; TIME-VARYING DELAY;

NEURAL NETWORKS; NUMERICAL METHODS; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

SYSTEM STABILITY;

EID: 75849121638     PISSN: 16741056     EISSN: None     Source Type: Journal    
DOI: 10.1088/1674-1056/18/12/017     Document Type: Article

References (27)

1. Arik S 2004 Neural Netw. 17 1027
2. Chen T and Rong L 2003 Phys. Lett. A 317 436
3. Cao J D and Wang L 2002 IEEE Trans. Neural Netw. 13 457
4. Cao J D and Li X L 2005 Phys. D 212 54
5. Cao J D, Yuan K and Li H X 2006 IEEE Trans. Neural Netw. 17 1646
6. Cui B T, Chen J and Lou X Y 2008 Chin. Phys. B 17 1670
7. Wu W and Cui B T 2007 Chin. Phys. 16 1889
8. Zhang Q, Ma R N, Wang C and Xu J 2003 Chin. Phys. 12 22
9. Li D, Wang H, Yang D, Zhang X H and Wang S L 2008 Chin. Phys. B 17 4091
10. He Y, Liu G P and Rees D 2007 IEEE Trans. Neural Netw. 18 310
11. Tan W and Wang Y N 2005 Chin. Phys. 14 72
12. Chen D L and Zhang W D 2008 Chin. Phys. B 17 1506
13. Hua C C, Long C N and Guan X P 2006 Phys. Lett. A 352 335
14. Xu S Y, Lam J, Ho D W C and Zhou Y 2005 IEEE Trans. Circuits Syst. II 52 349
15. Shao H Y 2008 IEEE Trans. Circuits Syst. II 55 1071
16. Wang W and Cao J D 2006 IEE Proc. Control Theor. Appl. 153 397
17. Liao X F and Li C D 2005 Phys. D 200 139
18. Li C D, Liao X F and Zhang R 2004 Phys. Lett. A 328 452
19. Yu G J, Lu C Y, Tsai J S H, Su T J and Liu B D 2003 IEEE Trans. Circuits Syst. I 50 677
20. Liao T L, Yan J J, Cheng C J and Wang C C 2005 Phys. Lett. A 339 333
21. Luo Q, Deng F Q and Bao J D 2006 Acta Mathematica Scientia A 26 968 (in Chinese)
22. Zeng Z G and Liao X X 2005 Acta Mathematica Scientia A 25 621 (in Chinese)
23. Zhang Q and Ma R N 2004 Acta Mathematica Scientia A 24 694 (in Chinese)
24. He Y, Wu M, She J H and Liu G P 2004 IEEE Trans. Autom. Control 49 828
25. Wu M, He Y and She J H 2004 IEEE Trans. Autom. Control 49 2266
26. Li X G, Zhu X J and Cao G Y 2008 Control Decision 23 473
27. Hale J K and Verduyn Lunel S M 1993 Introduction to Functional Differential Equations (Applied Mathematical Sciences) (New York: Springer-Verlag)