Robust exponential stability of uncertain fuzzy Cohen-Grossberg neural networks with time-varying delays

Fuzzy Sets and Systems

Volumn 161, Issue 4, 2010, Pages 608-618

  Balasubramaniam, P ^a   Ali, M Syed ^a  

^a GANDHIGRAM RURAL UNIVERSITY   (India)

Author keywords

Cohen Grossberg neural networks; Global exponential stability; Linear matrix inequality; Lyapunov functional; T S fuzzy model; Time varying delays

Indexed keywords

COHEN-GROSSBERG NEURAL NETWORKS; GLOBAL EXPONENTIAL STABILITY; LYAPUNOV FUNCTIONALS; T-S FUZZY MODELS; TIME-VARYING DELAY;

CONVERGENCE OF NUMERICAL METHODS; LINEAR MATRIX INEQUALITIES; STABILITY CRITERIA; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNMANNED AERIAL VEHICLES (UAV);

FUZZY NEURAL NETWORKS;

EID: 72149129478     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2009.10.013     Document Type: Article

References (38)

1. Arik S., and Orman Z. Global stability analysis of Cohen-Grossberg neural networks with time varying delays. Phys. Lett. A 341 (2005) 410-421
2. Boyd B., Ghoui L.E., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Philadelphia, PA
3. Cao Y.Y., and Frank P.M. Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models. Fuzzy Sets and Systems 124 (2001) 213-229
4. Cao J., and Li X. Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Physica D 212 (2005) 54-65
5. Cao J., Yuan K., and Li H.X. Global asymptotic stability of recurrent neural networks with multiple discrete delays and distributed delays. IEEE Trans. Neural Networks 17 (2006) 1646-1651
6. Chen T.P., and Rong L.B. Delay-independent stability analysis of Cohen-Grossberg neural networks. Phys. Lett. A 317 (2003) 436-449
7. Chen A., Cao J., and Huang L. Global robust stability of interval cellular neural networks with time varying delays. Chaos Solitons Fractals 23 (2005) 787-799
8. Cohen M.A., and Grossberg S. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Syst. Man Cybern. 13 (1983) 815-826
9. De Souza C.E., and Li X. Delay-dependent robust control of uncertain linear state-delayed systems. Automatica 35 (1999) 1313-1321
10. P. Gahinet, A. Nemirovski, A. Laub, M. Chilali, LMI Control Toolbox User's Guide, The Mathworks, Massachusetts, 1995.
11. Gu K., Kharitonov V.L., and Chen J. Stability of Time Delay Systems (2003), Birkhäuser, Boston
12. Huang H., Ho D.W.C., and Lam J. Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays. IEEE Trans. Circ. Syst. II 52 (2005) 251-255
13. Huang H., and Ho D.W.C. Delay-dependent robust control of uncertain stochastic fuzzy systems with time-varying delay. IET Control Theory Appl. 1 4 (2007) 1075-1085
14. Huang C.C., Cheng C.J., and Liao T.L. Globally exponential stability of generalized Cohen-Grossberg neural networks with delays. Phys. Lett. A 319 (2003) 157-166
15. Ji C., and Zhang H.G. Robust stability of time-delayed Hopfield neural networks with parameter perturbations. Acta Electron. Sin. 33 (2005) 115-118
16. C. Ji, H.G. Zhang, LMI Approach to robust stability analysis of Hopfield neural networks, in: Proc. of 16th IFAC World Congress, Prague, Czech, 2005.
17. Ji C., Zhang H.G., and Wang Z.S. Dynamic analysis for the generalized neural networks with time delay and asymmetric structure. Control Decision 19 (2004) 1416-1419
18. Liao X., Chen G., and Sanchez E.N. LMI-based for asymptotically stability analysis of delayed neural networks. IEEE Trans. Circ. Syst. I 49 (2002) 1033-1039
19. Lin F.J., and Lin C.H. On line gain tuning IP controller using RFNN. IEEE Trans. AeroSpace Electron. Syst. 37 (2001) 655-670
20. Lou X., and Cui B. Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays. Fuzzy Sets and Systems 158 (2007) 2746-2756
21. Lu W., and Chen T.P. New conditions on global stability of Cohen-Grossberg neural networks. Neural Comput. 15 (2003) 1173-1189
22. Otto M., George T., Schierle C., and Wegscheilder W. Fuzzy logic and neural networks-applications to analytic chemistry. Pure Appl. Chem. 64 (1992) 497-502
23. Shitonga W., Duana F., Mina X., and Dewenc H. Advanced fuzzy cellular neural network: application to CT liver images. Artif. Intell. Med. 39 (2007) 65-77
24. Shih C.W., and Weng C.W. Cycle-symmetric matrices and convergent neural networks. Physica D 146 (2000) 213-220
25. Song Q., and Cao J. Impulsive effects on stability of fuzzy Cohen-Grossberg neural networks with time-varying delays. IEEE Trans. Syst. Man Cybern. 37 (2007) 733-741
26. Syed Ali M., and Balasubramaniam P. Robust stability of uncertain stochastic fuzzy BAM neural networks with time varying delay. Phys. Lett. A 372 (2008) 5159-5166
27. Syed Ali M., and Balasubramaniam P. Robust stability of uncertain fuzzy Cohen Grossberg BAM neural networks with time-varying delays. Expert Syst. Appl. 36 (2009) 10583-10588
28. Syed Ali M., and Balasubramaniam P. Global exponential stability of uncertain fuzzy BAM neural networks with time-varying delays. Chaos Solitons Fractals 42 (2009) 2191-2199
29. Takagi T., and Sugeno M. Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. 15 (1985) 116-132
30. Takagi T., and Sugeno M. Stability analysis and design of fuzzy control systems. Fuzzy Sets and Systems 45 (1993) 135-156
31. Takagi T., and Sugeno M. Fuzzy identification of systems and its applications to modelling and control. IEEE Trans. Syst. Man Cybern. 15 (1985) 116-132
32. ∞ control theory, and linear matrix inequalities. IEEE Trans. Fuzzy Syst. 4 (1996) 1-13
33. Takahashi Y. Solving optimization problems with variable-constraint by an extended Cohen-Grossberg model. Theor. Comput. Sci. 158 (1996) 279-341
34. Wang L., and Zou X. Harmless delays in Cohen-Grossberg neural networks. Physica D 170 (2002) 162-173
35. Wang Z., Ho D.W.C., and Liu X. A note on the robust stability of uncertain stochastic fuzzy systems with time-delays. IEEE Trans. Syst. Man Cybern. Part A 34 4 (2004) 570-576
36. Ye H., Michel A.N., and Wang K. Analysis of Cohen-Grossberg neural networks with multiple delays. Phys. Rev. E 51 (1995) 2611-2618
37. Yuan K., Cao J., and Li H.X. Robust stability of switched Cohen-Grossberg neural networks with mixed time-varying delays. IEEE Trans. Syst. Man Cybern. Part B 36 (2006) 1356-1363
38. J. Zhang, D. Ren, W. Zhang, Global exponential stability of fuzzy Cohen-Grossberg neural networks with variable delays and distributed delays, in: Lecture Notes in Computer Science, Springer, Berlin, 2007, pp. 66-74.