Further results for robust stability of cellular neural networks with linear fractional uncertainty

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 10, 2010, Pages 3046-3057

  Zheng, Cheng De ^a   Jing, Xiao Ting ^a   Wang, Zhan Shan ^b   Feng, Jian ^b  

^a DALIAN JIAOTONG UNIVERSITY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

Delayed cellular neural network; Globally asymptotic stability; Globally robust asymptotic stability; Homeomorphism mapping; Jensen integral inequality; Linear matrix inequality (LMI)

Indexed keywords

ASYMPTOTIC STABILITY; CELLULAR NEURAL NETWORKS; INTEGRAL EQUATIONS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); STABILITY CRITERIA;

DELAYED CELLULAR NEURAL NETWORKS; GLOBALLY ASYMPTOTIC STABILITY; GLOBALLY ROBUST ASYMPTOTIC STABILITY; HOMEOMORPHISM MAPPING; JENSEN INTEGRAL INEQUALITIES; LINEAR FRACTIONAL UNCERTAINTY; LINEAR MATRIX IN EQUALITIES; LINEAR MATRIX INEQUALITY; ROBUST ASYMPTOTIC STABILITY; ROBUST STABILITY;

MAPPING;

EID: 77950864414     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2009.11.007     Document Type: Article

References (42)

1. Boyd S., Ghaoui L.E.I., Feron E., and Balakrishnan V. Linear matrix inequality in system and control theory (1994), SIAM, Philadelphia (PA)
2. Feng W., Yang S.X., Fu W., and Wu H. Robust stability analysis of uncertain stochastic neural networks with interval time-varying delay. Chaos Soliton Fract 41 (2009) 414-424
3. Forti M., and Tesi A. New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circ Syst I 42 7 (1995) 354-366
4. 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 Soliton Fract 32 (2007) 1258-1267
5. Gu K., Kharitonov V.L., and Chen J. Stability of time-delay systems (2003), Birkhauser, Boston
6. He Y., Liu G.P., Rees D., and Wu M. Stability analysis for neural networks with time-varying interval delay. IEEE Trans Neural Network 18 6 (2007) 1850-1854
7. Li C.D., and Feng G. Delay-interval-dependent stability of recurrent neural networks with time-varying delay. Neurocomputing 72 (2009) 1179-1183
8. Li T., Guo L., and Lin C. A new criterion of delay-dependent stability for uncertain time-delay systems. IET Control Theory Appl 1 3 (2007) 611-616
9. Li T., Guo L., and Sun C. Robust stability for neural networks with time-varying delays and linear fractional uncertainties. Neurocomputing 71 (2007) 421-427
10. Kwon O.M., Park J.H., and Lee S.M. On robust stability for uncertain neural networks with interval time-varying delays. IET Control Theory Appl 2 7 (2008) 625-634
11. Ou O. Global robust exponential stability of delayed neural networks: an LMI approach. Chaos Soliton Fract 32 (2007) 742-1748
12. Qi H. New sufficient conditions for global robust stability of delayed neural networks. IEEE Trans Circuits Syst I 54 5 (2007) 1131-1141
13. Qiu J., Yang H., Zhang J., and Gao Z. New robust stability criteria for uncertain neural networks with interval time-varying delays. Chaos Soliton Fract 39 2 (2009) 579-585
14. Qiu J., Zhang J., Wang J., Xia Y., and Shi P. A new global robust stability criteria for uncertain neural networks with fast time-varying delays. Chaos Soliton Fract 37 (2008) 360-368
15. Shen Y., and Wang J. An improved algebraic criterion for global exponential stability of recurrent neural networks with time-varying delays. IEEE Trans Neural Network 19 3 (2008) 528-531
16. Shen T., and Zhang Y. Improved global robust stability criteria for delayed neural networks. IEEE Trans Circuits Syst II 54 8 (2007) 715-719
17. Singh V. A new criterion for global robust stability of interval delayed neural networks. J Comput Appl Math 221 (2008) 219-225
18. Singh V. Improved global robust stability of interval delayed neural networks via split interval: generalizations. Appl Math Comput 206 (2008) 290-297
19. Singh V. Improved global robust stability for interval-delayed hopfield neural networks. Neural Process Lett 27 (2008) 257-265
20. Souza F.O., Palhares R.M., and Ekel P.Y. Improved asymptotic stability analysis for uncertain delayed state neural networks. Chaos Soliton Fract 39 (2009) 240-247
21. Souza F.O., Palhares R.M., and Ekel P.Y. Asymptotic stability analysis in uncertain multi-delayed state neural networks via Lyapunov-Krasovskii theory. Math Comput Modell 45 (2007) 1350-1362
22. Sun J., Liu G.P., Chen J., and Rees D. Improved stability criteria for neural networks with time-varying delay. Phys Lett A 373 (2009) 342-348
23. Wang B., Zhong S., and Liu X. Asymptotical stability criterion on neural networks with multiple time-varying delays. Appl Math Comput 195 (2008) 809-818
24. Wang Y., Zuo Y., Huang L., and Li C. Global robust stability of delayed neural networks with discontinuous activation functions. IET Control Theory Appl 2 7 (2008) 543-553
25. Wang Z., Zhang H., and Yu W. Robust exponential stability analysis of neural networks with multiple time delays. Neurocomputing 70 (2007) 2534-2543
26. Wang Z., Zhang H., and Yu W. Robust stability of Cohen-Grossberg neural networks via state transmission matrix. IEEE Trans Neural Network 20 1 (2009) 169-174
27. Wang Z., Zhang H., and Yu W. Robust stability criteria for interval Cohen-Grossberg neural networks with time varying delay. Neurocomputing 72 (2009) 1105-1110
28. Wu W., and Cui B.T. Global robust exponential stability of delayed neural networks. Chaos Soliton Fract 35 (2008) 747-754
29. Xu S., and Lam J. A new approach to exponential stability analysis of neural networks with time-varying delays. Neural Networks 19 (2006) 76-83
30. Yu W., and Yao L. Global robust stability of neural networks with time varying delays. J Comput Appl Math 206 (2007) 679-687
31. Zhang B.Y., Xu S.Y., and Li Y.M. Delay-dependent robust exponential stability for uncertain recurrent neural networks with time-varying delays. Int J Neural Syst 17 3 (2007) 207-218
32. Zhang H., Ji C., and Liu D. Robust stability analysis of a class of Hopfield neural networks with multiple delays. Lect Notes Comput Sci 3496 (2005) 209-214
33. Zhang H., and Wang G. New criteria of global exponential stability for a class of generalized neural networks with time-varying delays. Neurocomputing 70 13-15 (2007) 2486-2494
34. Zhang H., Wang Z., and Liu D. Robust stability analysis for interval Cohen-Grossberg neural networks with unknown time-varying delays. IEEE Trans Neural Network 19 11 (2008) 1942-1955
35. Zhang H., Wang Z., and Liu D. Global asymptotic stability of recurrent neural networks with multiple time-varying delays. IEEE Trans Neural Network 19 5 (2008) 855-873
36. Zhang H., Wang Z., and Liu D. Robust exponential stability of cellular neural networks with multiple time varying delays. IEEE Trans Circuits Syst II 54 8 (2007) 730-734
37. Zhang Q., Wei X., and Xu J. Delay-dependent global stability results for delayed Hopfield neural networks. Chaos Soliton Fract 34 (2007) 662-668
38. Zhang Y., Yue D., and Tian E. New stability criteria of neural networks with interval time-varying delay: a piecewise delay method. Appl Math Comput 208 (2009) 249-259
39. Zheng C.D., Zhang H., and Wang Z. Novel delay-dependent criteria for global robust exponential stability of delayed cellular neural networks with norm-bounded uncertainties. Neurocomputing 72 7-9 (2009) 1744-1754
40. Zheng C.D., Zhang H., and Wang Z. New delay-dependent global exponential stability criterion for cellular type neural networks with time-varying delays. IEEE Trans Circuits Syst II 56 3 (2009) 50-254
41. Zhu X.L., and Yang G.H. New delay-dependent stability results for neural networks with time-varying delay. IEEE Trans Neural Network 19 10 (2008) 1783-1791
42. Zuo Z., and Wang Y. Robust stability criterion for delayed cellular neural networks with norm-bounded uncertainties. IET Control Theory Appl 1 1 (2007) 387-392