Novel stability criterion for cellular neural networks: An improved Gus discretized LKF approach

Journal of the Franklin Institute

Volumn 349, Issue 1, 2012, Pages 25-41

  Zheng, Cheng De ^a   Shan, Qi He ^a   Wang, Zhanshan ^b  

^a DALIAN JIAOTONG UNIVERSITY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EQUILIBRIUM POINT; FREE-WEIGHTING MATRIX METHOD; GLOBALLY ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITY TECHNIQUES; LYAPUNOV-KRASOVSKII FUNCTIONALS; SUBINTERVALS; TIME-VARYING DELAY;

ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; STABILITY CRITERIA; TIME VARYING NETWORKS;

CELLULAR NEURAL NETWORKS;

EID: 84655174956     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2011.09.014     Document Type: Article

References (41)

1. E.N. Sanchez, and J.P. Perez Input-to-state stability (ISS) analysis for dynamic NN IEEE Transactions on Circuits and Systems I 46 1999 1395 1398 (Pubitemid 30519700)
2. W.H. Chen, and W.X. Zheng Improved delay-dependent asymptotic stability criteria for delayed neural networks IEEE Transactions on Neural Networks 19 12 2008 2154 2161
3. M. Forti, and A. Tesi New conditions for global stability of neural networks with application to linear and quadratic programming problems IEEE Transactions on Circuits and Systems I 42 7 1995 354 366
4. E. Fridman Descriptor discretized Lyapunov functional method: analysis and design IEEE Transactions on Automat Control 51 5 2006 890 897 (Pubitemid 43792659)
5. H. Gu, H. Jiang, and Z. Teng Existence and global exponential stability of equilibrium of competitive neural networks with different time scales and multiple delays Journal of the Franklin Institute 347 2010 719 731
6. K. Gu Discretized LMI set in the stability problem of linear time delay systems International Journal of Control 68 1997 923 976
7. K. Gu, V.L. Kharitonov, and J. Chen Stability of Time-Delay Systems 2003 Birkhauser Boston
8. L. Hu, H. Gao, and W.X. Zheng Novel stability of cellular neural networks with interval time-varying delay Neural Networks 21 2008 1458 1463
9. O.M. Kwon, and J.H. Park Delay-dependent stability for uncertain cellular neural networks with discrete and distribute time-varying delays Journal of the Franklin Institute 345 2008 766 778
10. O.M. Kwon, and J.H. Park Improved delay-dependent stability criterion for neural networks with time-varying delays Physics Letters A 373 2009 529 535
11. X. Li, R. Rakkiyappan, and P. Balasubramaniam Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations Journal of the Franklin Institute 348 2011 135 155
12. M.S. Mahmoud, and Y. Xia Improved exponential stability analysis for delayed recurrent neural networks Journal of the Franklin Institute 348 2011 201 211
13. S. Mou, H. Gao, J. Lam, and W. Qiang A new criterion of delay-dependent asymptotic stability for Hopfield neural networks with time delay IEEE Transactions on Neural Networks 19 3 2008 532 535 (Pubitemid 351411577)
14. J. Qiu, and J. Cao Delay-dependent exponential stability for a class of neural networks with time delays and reaction-diffusion terms Journal of the Franklin Institute 346 2009 301 314
15. H. Shao Improved delay-dependent globally asymptotic stability criteria for neural networks with a constant delay IEEE Transactions on Circuits and Systems II 55 10 2008 1071 1075
16. Y. Shen LMI-based stability criteria with auxiliary matrices for delayed recurrent neural networks IEEE Transactions on Circuits and Systems II 53 8 2008 811 815
17. Y. Shen, and J. Wang An improved algebraic criterion for global exponential stability of recurrent neural networks with time-varying delays IEEE Transactions on Neural Networks 19 3 2008 528 531 (Pubitemid 351411576)
18. V. Singh A new criterion for global robust stability of interval delayed neural networks Journal of Computational and Applied Mathematics 221 2008 219 225
19. Q. Song Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach Neurocomputing 71 2008 2823 2830
20. F.O. Souza, L.A. Mozelli, and R.M. Palhares On stability and stabilization of T-S fuzzy time-delayed systems IEEE Transactions on Fuzzy Systems 17 6 2009 1440 1455
21. infin; filter design for uncertain neutral systems IET Control Theory & Applications 2 12 2008 1033 1043
22. F.O. Souza, R.M. Palhares, and P.Y. Ekel Improved asymptotic stability analysis for uncertain delayed state neural networks Chaos, Solitons & Fractals 39 2009 240 247
23. J. Sun, G.P. Liu, J. Chen, and D. Rees Improved stability criteria for neural networks with time-varying delay Physics Letters A 373 2009 342 348
24. M. Wu, F. Liu, P. Shi, Y. He, and R. Yokoyama Exponential stability analysis for neural networks with time-varying delay IEEE Transactions on Systems, Man, and Cybernetics, Part B 38 2008 1152 1156
25. B. Wang, S. Zhong, and X. Liu Asymptotical stability criterion on neural networks with multiple time-varying delays Applied Mathematics and Computation 195 2008 809 818 (Pubitemid 350309659)
26. W. Wu, and B.T. Cui Global robust exponential stability of delayed neural networks Chaos, Solitons,& Fractals 35 2008 747 754 (Pubitemid 47484435)
27. S.P. Xiao, and X.M. Zhang New globally asymptotic stability criteria for delayed cellular neural networks IEEE Transactions on Circuits and Systems II 56 8 2009 659 663
28. S. Xu, Y. Chu, and J. Lu New results on global exponential stability of recurrent neural networks with time-varying delays Physics Letters A 352 2006 371 379 (Pubitemid 43395315)
29. S. Xu, and J. Lam A new approach to exponential stability analysis of neural networks with time-varying delays Neural Networks 19 2006 76 83 (Pubitemid 43088737)
30. Z. Zeng, and J. Wang Global exponential stability of recurrent neural networks with time-varying delays in the presence of strong external stimuli Neural Networks 19 2006 1528 1537 (Pubitemid 44793174)
31. Z. Zeng, and J. Wang Improved conditions for global exponential stability of recurrent neural networks with time-varying delays IEEE Transactions on Neural Networks 17 3 2006 623 635
32. H. Zhang, Z. Liu, G.B. Huang, and Z. Wang Novel weighting-delay-based stability criteria for recurrent neural networks with time-varying delay IEEE Transactions on Neural Networks 21 1 2010 91 106
33. H. Zhang, and Z. Wang Global asymptotic stability of delayed cellular neural networks IEEE Transactions on Neural Networks 18 3 2007 947 950 (Pubitemid 46773762)
34. H. Zhang, Z. Wang, and D. Liu Robust stability analysis for interval CohenGrossberg neural networks with unknown time-varying delays IEEE Transactions on Neural Networks 19 11 2008 1942 1955
35. H. Zhang, Z. Wang, and D. Liu Global asymptotic stability of recurrent neural networks with multiple time-varying delays IEEE Transactions on Neural Networks 19 5 2008 855 873 (Pubitemid 351728821)
36. H. Zhang, Z. Wang, and D. Liu Robust exponential stability of cellular neural networks with multiple time varying delays IEEE Transactions on Circuits and Systems II 54 8 2007 730 734 (Pubitemid 47250016)
37. Q. Zhang, X. Wei, and J. Xu Delay-dependent exponential stability of cellular neural networks with time-varying delays Chaos, Solitons, & Fractals 23 2005 1363 1369
38. X.M. Zhang, and Q.L. Han New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks IEEE Transactions on Neural Networks 20 3 2009 533 539
39. Y. Zhang, D. Yue, and E. Tian New stability criteria of neural networks with interval time-varying delay: a piecewise delay method Applied Mathematics and Computation 208 2009 249 259
40. Q. Zhu, X. Yang, and H. Wang Stochastically asymptotic stability of delayed recurrent neural networks with both Markovian jump parameters and nonlinear disturbances Journal of the Franklin Institute 347 2010 1489 1510
41. X.L. Zhu, and G.H. Yang New delay-dependent stability results for neural networks with time-varying delay IEEE Transactions on Neural Networks 19 10 2008 1783 1791