Exponential stability of delayed Hopfield neural networks with various activation functions and polytopic uncertainties

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

Volumn 374, Issue 25, 2010, Pages 2527-2533

  Phat, Vu N ^a   Nam, Phan T ^b  

^a GRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Viet Nam)

^b Quy Nhon University   (Viet Nam)

Author keywords

Exponential stability; Hopfield neural networks; Linear matrix inequalities; Lyapunov function; Polytopic systems; Time varying delays

Indexed keywords

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

ACTIVATION FUNCTIONS; DELAY DEPENDENT CONDITIONS; DELAYED HOPFIELD NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; LYAPUNOV-KRASOVSKII FUNCTIONALS; POLYTOPIC SYSTEM; POLYTOPIC UNCERTAINTIES; TIME VARYING- DELAYS;

HOPFIELD NEURAL NETWORKS;

EID: 77953293963     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2010.04.018     Document Type: Article

References (19)

1. Arik S. Phys. Lett. A 311 (2003) 504
2. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory (1994), SIAM, Philadelphia
3. Chu T.G. Phys. Lett. A 283 (2001) 113
4. Chen B., and Wang J. Neural Networks 20 (2007) 1067
5. Hale J.K., and Lunel S.M.V. Introduction to Functional Differential Equations (1993), Springer-Verlag, New York
6. He Y., Wang Q.G., and Zheng W.X. Chaos Solitons Fractals 26 (2005) 1349
7. Henrion D., Arzelier D., Peaucelle D., and Sebek M. Automatica 37 (2001) 461
8. Hopfield J.J. Proc. Natl. Acad. Sci. USA 79 (1982) 2554
9. Hopfield J.J. Proc. Natl. Acad. Sci. USA 81 (1984) 3088
10. Huang H., Qu Y., and Li H.X. Phys. Lett. A 345 (2005) 345
11. Kwon O.M., and Park J.H. Appl. Math. Comput. 212 (2009) 530
12. Liu X.Z., and Dickson R. Math. Comput. Modelling 34 (2001) 353
13. Mondie S., and Kharitonov V.L. IEEE Trans. Aut. Contr. 50 (2005) 268
14. Park J.H. Appl. Math. Comput. 188 (2007) 850
15. Park J.H., Lee S.M., and Kwon O.M. Appl. Math. Comput. 183 (2006) 1214
16. Park J.H. Chaos Solitons Fractals 39 (2009) 1083
17. Phat V.N., and Savkin A.V. Syst. Control Lett. 47 (2002) 237
18. Phat V.N., and Nam P.T. Int. J. Control 80 (2007) 1333
19. Wang Z., Liu Y., and Liu X. Phys. Lett. A 345 (2005) 299