Delay-dependent stability criterion for delayed Hopfield neural networks

Chaos, Solitons and Fractals

Volumn 39, Issue 5, 2009, Pages 2133-2137

  Jiang, Yanhong ^a   Yang, Bin ^a   Wang, Jincheng ^a   Shao, Cheng ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; STABILITY CRITERIA;

DELAY DEPENDENT STABILITY CRITERION; DELAYED HOPFIELD NEURAL NETWORKS; FREE-WEIGHTING MATRICES; LYAPUNOV-KRASOVSKII FUNCTIONALS; S-PROCEDURES;

HOPFIELD NEURAL NETWORKS;

EID: 64049112587     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.06.039     Document Type: Article

References (22)

1. Chua L., and Yang L. Celluar neural networks: theory and applications. IEEE Trans Circ Syst I 35 (1998) 1257-1290
2. Chen C.J., Liao T.L., and Hwang C.C. Exponential synchronizations of a class of chaotic neural networks. Chaos, Solitons & Fractals 24 (2005) 197-206
3. Singh V., and Simplified L.M.I. Condition for globe asymptotic stability of delayed neural networks. Chaos, Solitons & Fractals 29 (2006) 470-473
4. Park Ju.H. On global stability criterion for neural networks with discrete and distributed delays. Chaos, Solitons & Fractals 30 (2006) 897-902
5. Chen T. Global exponential stability of delayed Hopfield neural networks. Neural Networks 14 (2001) 977-980
6. Lu H., Chung F.L., and He Z. Some sufficient conditions for global exponential stability of delayed Hopfield neural networks. Neural Networks 17 (2004) 537-544
7. Chen A., Cao J., and Huang L. An estimation of upperbound of delays for global asymptoticstability of delayed Hopfield neural networks. IEEE Trans Circuits Syst I: Fundam Theory Appl 49 7 (2002) 1028-1032
8. Xu B., Liu X., and Liao X. Global asymptotic stability of high-order Hopfield type neural networks with time delays. Comput Math 45 (2003) 1729-1737
9. Zhang J. Global stability analysis in Hopfield neural networks. Appl Math Lett 16 (2003) 925-931
10. Zhao H. Global asymptotic stability of Hopfield neural networks involving distributed delays. Neural Networks 17 (2004) 47-53
11. Yucel E., and Arik S. New exponential stability results for delayed neural networks with time varying delays. Physica D 191 (2004) 314-322
12. Cao J., and Ho D.W.C. A general framework for global asymptotic stability analysis of delayed neural networks based on LMI approach. Chaos, Solitons & Fractals 24 (2005) 1317-1329
13. Cao J., and Wang J. Global asymptotic robust stability of recurrent neural networks with time delays. IEEE Trans Circ Syst I: Fundam Theory Appl 52 2 (2005) 417-426
14. Monhamad S. Exponential stability in Hopfield-type neural networks with impulses. Chaos, Solitons & Fractals 32 (2007) 456-467
15. Zhang Q., Wei X., and Xu J. Global asymptotic stability of Hopfield neural networks with transmission delays. Phys Lett A 318 (2003) 399-405
16. Zhang Q., Wei X., and Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 (2005) 1363-1369
17. He H., Michel A.N., and wang K. Globe stability and local stability of Hopfield neural networks with delays. Phys Rev E 50 (1994) 4206-4213
18. Xu S., Lam J., Ho D.W.C., and Zou Y. Novel globe asymptotic stability criteria for delayed cellular neural networks. IEEE Trans Circ Syst II: Analog Digit Signal Process l52 6 (2005) 253-349
19. Xu S., and Lam J. A new LMI condition for delay-dependent asymptotic stability of delayed Hopfield neural networks. IEEE Trans Circ Syst-II: Express Briefs 53 3 (2006) 230-234
20. Gahinet P, Nemirovskii A, Laub AJ, Chilali M. LMI control toolbox, Math Works, Naticvk, Massachusetts, 1995.
21. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear matrix inequalities in system and control theory (1994), SIAM, Philadelphia, PA
22. Yong H., Qing-Guo W., Chong L., and Min W. Augment Lyapunov functional and delay-dependent stability criteria for neutral systems. Int J Robust Nonlin Control 15 (2005) 923-933