Novel global robust stability criterion for neural networks with delay

Chaos, Solitons and Fractals

Volumn 41, Issue 1, 2009, Pages 348-353

  Singh, Vimal ^a  

^a ATILIM UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

STABILITY CRITERIA;

GLOBAL ROBUST STABILITY; INTERVAL NEURAL NETWORK; NOVEL CRITERION;

HOPFIELD NEURAL NETWORKS;

EID: 67349096686     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2008.01.001     Document Type: Article

References (74)

1. Arik S. Global robust stability of delayed neural networks. IEEE Trans Circuits Syst I 50 1 (2003) 156-160
2. Singh V. A generalized LMI-based approach to the global asymptotic stability of delayed cellular neural networks. IEEE Trans Neural Networks 15 1 (2004) 223-225
3. Singh V. Robust stability of cellular neural networks with delay: linear matrix inequality approach. IEE Proc Control Theory Appl 151 1 (2004) 125-129
4. Singh V. Global asymptotic stability of cellular neural networks with unequal delays: LMI approach. Electron Lett 40 9 (2004) 548-549
5. Cao J., and Chen T. Globally exponentially robust stability and periodicity of delayed neural networks. Chaos, Solitons & Fractals 22 4 (2004) 957-963
6. Liang J., and Cao J. Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delay. Chaos, Solitons & Fractals 22 4 (2004) 773-785
7. Singh V. Global robust stability of delayed neural networks: an LMI approach. IEEE Trans Circuits Syst II 52 1 (2005) 33-36
8. Singh V. A novel global robust stability criterion for neural networks with delay. Phys Lett A 337 4-6 (2005) 369-373
9. Cao J., Huang D.-S., and Qu Y. Global robust stability of delayed recurrent neural networks. Chaos, Solitons & Fractals 23 1 (2005) 221-229
10. Cao J., and Wang J. Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans Circuits Syst I 52 2 (2005) 417-426
11. Ozcan N., and Arik S. Global robust stability analysis of neural networks with multiple time delays. IEEE Trans Circuits Syst I 53 1 (2006) 166-176
12. Chen A., Cao J., and Huang L. Global robust stability of interval cellular neural networks with time varying delays. Chaos, Solitons & Fractals 23 3 (2005) 787-799
13. Zhang Q., Wei X., and Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 4 (2005) 1363-1369
14. Xu S., Lam J., and Ho D.W.C. Novel global robust stability criteria for interval neural networks with multiple time-varying delays. Phys Lett A 342 4 (2005) 322-330
15. Cao J., and Ho D.W.C. A general framework for global asymptotic stability of delayed neural networks based on LMI approach. Chaos, Solitons & Fractals 24 5 (2005) 1317-1329
16. He Y., Wang Q.G., and Zheng W.X. Global robust stability for delayed neural networks with polytopic type uncertainties. Chaos, Solitons & Fractals 26 5 (2005) 1349-1354
17. Hu J., Zhong S., and Liang L. Exponential stability analysis of stochastic delayed cellular neural network. Chaos, Solitons & Fractals 27 4 (2006) 1006-1010
18. Cui B.T., and Lou X.Y. Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms. Chaos, Solitons & Fractals 27 5 (2006) 1347-1354
19. Liang J., and Cao J. A based-on LMI stability criterion for delayed recurrent neural networks. Chaos, Solitons & Fractals 28 1 (2006) 154-160
20. Zhang Q., Wei X., and Xu J. Stability analysis for cellular neural networks with variable delays. Chaos, Solitons & Fractals 28 2 (2006) 331-336
21. Tu F., Liao X., and Zhang W. Delay-dependent asymptotic stability of a two-neuron system with different time delays. Chaos, Solitons & Fractals 28 2 (2006) 437-447
22. Liu Y., Wang Z., and Liu X. Global asymptotic stability of generalized bi-directional associative memory networks with discrete and distributed delays. Chaos, Solitons & Fractals 28 3 (2006) 793-803
23. Zhu W., and Hu J. Stability analysis of stochastic delayed cellular neural networks by LMI approach. Chaos, Solitons & Fractals 29 1 (2006) 171-174
24. Lu J., Guo Y., and Xu S. Global asymptotic stability analysis for cellular neural networks with time delays. Chaos, Solitons & Fractals 29 2 (2006) 349-353
25. Park J.H. A novel criterion for global asymptotic stability of BAM neural networks with time delays. Chaos, Solitons & Fractals 29 2 (2006) 446-453
26. Singh V. Simplified LMI condition for global asymptotic stability of delayed neural networks. Chaos, Solitons & Fractals 29 2 (2006) 470-473
27. Singh V. Comments on "Global robust stability of delayed neural networks". IEEE Trans Circuits Syst I 53 1 (2006) 214-215
28. Yang H., Chu T., and Zhang C. Exponential stability of neural networks with variable delays via LMI approach. Chaos, Solitons & Fractals 30 1 (2006) 133-139
29. Park J.H. On global stability criterion for neural networks with discrete and distributed delays. Chaos, Solitons & Fractals 30 4 (2006) 897-902
30. Wang Z., Shu H., Liu Y., Ho D.W.C., and Liu X. Robust stability analysis of generalized neural networks with discrete and distributed time delays. Chaos, Solitons & Fractals 30 4 (2006) 886-896
31. Singh V. New global robust stability results for delayed cellular neural networks based on norm-bounded uncertainties. Chaos, Solitons & Fractals 30 5 (2006) 1165-1171
32. Singh V. Improved global robust stability criterion for delayed neural networks. Chaos, Solitons & Fractals 31 1 (2007) 224-229
33. Zhang Q., Wei X., and Xu J. Stability of delayed cellular neural networks. Chaos, Solitons & Fractals 31 2 (2007) 514-520
34. Li C., Chen J., and Huang T. A new criterion for global robust stability of interval neural networks with discrete time delays. Chaos, Solitons & Fractals 31 3 (2007) 561-570
35. Singh V. Global asymptotic stability of neural networks with delay: comparative evaluation of two criteria. Chaos, Solitons & Fractals 31 5 (2007) 1187-1190
36. Wang Z., Lauria S., Fang J., and Liu X. Exponential stability of uncertain stochastic neural networks with mixed time-delays. Chaos, Solitons & Fractals 32 1 (2007) 62-72
37. Singh V. Global robust stability of delayed neural networks: estimating upper limit of norm of delayed connection weight matrix. Chaos, Solitons & Fractals 32 1 (2007) 259-263
38. Singh V. Simplified approach to the exponential stability of delayed neural networks with time varying delays. Chaos, Solitons & Fractals 32 2 (2007) 609-616
39. Park J.H. An analysis of global robust stability of uncertain cellular neural networks with discrete and distributed delays. Chaos, Solitons & Fractals 32 2 (2007) 800-807
40. Cho H.J., and Park J.H. Novel delay-dependent robust stability criterion of delayed cellular neural networks. Chaos, Solitons & Fractals 32 3 (2007) 1194-1200
41. Gau R.S., Lien C.H., and Hsieh J.G. Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach. Chaos, Solitons & Fractals 32 4 (2007) 1258-1267
42. Singh V. On global robust stability of interval Hopfield neural networks with delay. Chaos, Solitons & Fractals 33 4 (2007) 1183-1188
43. Singh V. Novel LMI condition for global robust stability of delayed neural networks. Chaos, Solitons & Fractals 34 2 (2007) 503-508
44. Qi H. New sufficient conditions for global robust stability of delayed neural networks. IEEE Trans Circuits Syst I 54 5 (2007) 1131-1144
45. Wu W., Cui B.T., and Huang M. Global asymptotic stability of delayed Cohen-Grossberg neural networks. Chaos, Solitons & Fractals 34 3 (2007) 872-877
46. Xiong W., Zhou Q., Xiao B., and Yu Y. Global exponential stability of cellular neural networks with mixed delays and impulses. Chaos, Solitons & Fractals 34 3 (2007) 896-902
47. Lien C.-H., and Chung L.-Y. Global asymptotic stability for cellular neural networks with discrete and distributed time-varying delays. Chaos, Solitons & Fractals 34 4 (2007) 1213-1219
48. Chu T., and Yang H. A note on exponential convergence of neural networks with unbounded distributed delays. Chaos, Solitons & Fractals 34 5 (2007) 1538-1545
49. Park J.H. Further results on passivity analysis of delayed cellular neural networks. Chaos, Solitons & Fracals 34 5 (2007) 1546-1551
50. Bai C. Stability analysis of Cohen-Grossberg BAM neural networks with delays and impulses. Chaos, Solitons & Fractals 35 2 (2006) 263-267
51. Chen L., and Zhao H. Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients. Chaos, Solitons & Fractals 35 2 (2006) 351-357
52. Huang Z.-T., Yang Q.-G., and Lou X.-S. Exponential stability of impulsive neural networks with time-varying delays. Chaos, Solitons & Fractals 35 4 (2006) 770-780
53. Zhao Z. Global exponential robust periodicity and stability of interval neural networks with both variable and unbounded delays. Chaos, Solitons & Fractals 36 1 (2006) 91-97
54. Wu W., and Cui B.T. Global robust exponential stability of delayed neural networks. Chaos, Solitons & Fractals 35 4 (2006) 747-754
55. Zheng B., Zhang Y., and Zhang C. Stability and bifurcation of a discrete BAM neural network model with delays. Chaos, Solitons & Fractals 36 3 (2006) 612-616
56. Wang Z., Fang J., and Liu X. Global stability of stochastic high-order neural networks with discrete and distributed delays. Chaos, Solitons & Fractals 36 2 (2006) 388-396
57. Song Q. Novel criteria for global exponential periodicity and stability of recurrent neural networks with time-varying delays. Chaos, Solitons & Fractals 36 3 (2006) 720-728
58. Zhang Q., Wei X., and Xu J. Delay-dependent exponential stability criteria for non-autonomous cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 36 4 (2006) 985-990
59. Lou X., Cui B., and Wu W. On global exponential stability and existence of periodic solutions for BAM neural networks with distributed delays and reaction-diffusion terms. Chaos, Solitons & Fractals 36 4 (2006) 1044-1054
60. Park J.H. On global stability criterion of neural networks with continuously distributed delays. Chaos, Solitons & Fractals 37 2 (2006) 444-449
61. Zheng B., Zhang Y., and Zhang C. Global existence of periodic solutions on a simplified BAM neural network model with delays. Chaos, Solitons & Fractals 37 5 (2009) 1397-1408
62. Huang Z., and Xia Y. Global exponential stability of BAM neural networks with transmission delays and nonlinear impulses. Chaos, Solitons & Fractals 38 2 (2006) 489-498
63. Xia Y., Huang Z., and Han M. Exponential p-stability of delayed Cohen-Grossberg-type BAM neural networks with impulses. Chaos, Solitons & Fractals 38 3 (2007) 806-818
64. Wang J., and Lu J.G. Global exponential stability of fuzzy cellular neural networks with delays and reaction-diffusion terms. Chaos, Solitons & Fractals 38 3 (2007) 878-885
65. Souza F.O., Palhares R.M., and Ekel P.Y. Improved asymptotic stability analysis for uncertain delayed state neural networks. Chaos, Solitons & Fractals 39 1 (2007) 240-247
66. Zhou T., Liu Y., Li X., and Liu Y. A new criterion to global exponential periodicity for discrete-time BAM neural network with infinite delays. Chaos, Solitons & Fractals 39 1 (2007) 332-341
67. Lu J.G. Global exponential stability and periodicity of reaction-diffusion delayed recurrent neural networks with Dirichlet boundary conditions. Chaos, Solitons & Fractals 35 1 (2007) 116-125
68. Park J.H., Lee S.M., and Kwon O.M. On exponential stability of bidirectional associative memory neural networks with time-varying delays. Chaos, Solitons & Fractals 39 3 (2007) 1083-1091
69. Zhang Q., Wei X., and Xu J. Exponential stability for nonautonomous neural networks with variable delays. Chaos, Solitons & Fractals 39 3 (2007) 1152-1157
70. Zhang Q., Wei X., and Xu J. Global exponential stability for nonautonomous cellular neural networks with unbounded delays. Chaos, Solitons & Fractals 39 3 (2007) 1144-1151
71. Yucel E., and Arik S. Novel results for global robust stability of delayed neural networks. Chaos, Solitons & Fractals 39 4 (2007) 1604-1614
72. Lu J.G., and Lu L.J. Global exponential stability and periodicity of reaction-diffusion recurrent neural networks with distributed delays and Dirichlet boundary conditions. Chaos, Solitons & Fractals 39 4 (2007) 1539-1549
73. Li C.-H., and Yang S.-Y. Global attractivity in delayed Cohen-Grossberg neural network models. Chaos, Solitons & Fractals 39 4 (2007) 1975-1987
74. Singh V. Remarks on estimating upper limit of norm of delayed connection weight matrix in the study of global robust stability of delayed neural networks. Chaos, Solitons & Fractals 39 5 (2007) 2013-2017