New delay-dependent global exponential stability criterion for cellular-type neural networks with time-varying delays

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 56, Issue 3, 2009, Pages 250-254

  Zheng, Cheng De ^a   Zhang, Huaguang ^b   Wang, Zhanshan ^b  

^a DALIAN JIAOTONG UNIVERSITY   (China)

^b NORTHEASTERN UNIVERSITY   (China)

Author keywords

Cellular neural networks (CNNs); Global exponential stability (GES); Linear matrix inequality (LMI); Timevarying delays

Indexed keywords

LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NUMERICAL METHODS; STABILITY CRITERIA; TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

ACTIVATION FUNCTIONS; DELAY DEPENDENT; DELAYED CELLULAR NEURAL NETWORKS; FREE-WEIGHTING MATRIX METHOD; GLOBAL EXPONENTIAL STABILITY; LINEAR MATRIX INEQUALITY TECHNIQUES; TIME VARYING- DELAYS; TIME-VARYING DELAY;

CELLULAR NEURAL NETWORKS;

EID: 64049101538     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2008.2011594     Document Type: Article

References (35)

1. M. Wu, F. Liu, P. Shi, Y. He, and R. Yokoyama, "Exponential stability analysis for neural networks with time-varying delay," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 1152-1156, Aug. 2008.
2. Y. He, M. Wu, and J. H. She, "Delay-dependent exponential stability of delayed neural networks with time-varying delay," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 7, pp. 553-557, Jul. 2006.
3. Y. He, G. P. Liu, and D. Rees, "New delay-dependent stability criteria for neural networks with time-varying delay," IEEE Trans. Neural Netw., vol. 18, no. 1, pp. 310-314, Jan. 2007.
4. C. D. Zheng, H. Zhang, and Z. Wang, "Novel delay-dependent criteria for global robust exponential stability of delayed cellular neural networks with norm-bounded uncertainties," Neurocomputing, to be published.
5. H. Liu and G. Chen, "Delay-dependent stability for neural networks with time-varying delay," Chaos, Solitons Fractals, vol. 33, no. 1, pp. 171-177, Jul. 2007.
6. C. Ji, H. G. Zhang, and Y. Wei, "LMI approach for global robust stability of Cohen-Grossberg neural networks with multiple delays," Neurocomputing, vol. 71, no. 4-6, pp. 475-485, Jan. 2008.
7. H. Zhang and Z. Wang, "Stability analysis of BAM neural networks with time-varying delays," Prog. Nat. Sci., vol. 17, no. 2, pp. 206-211, Feb. 2007.
8. H. Zhang, Z. Wang, and D. Liu, "Global asymptotic stability of recurrent neural networks with multiple time-varying delays," IEEE Trans. Neural Netw., vol. 19, no. 5, pp. 855-873, May 2008.
9. H. Zhang, Z. Wang, and D. Liu, "Robust exponential stability of recurrent neural networks with multiple time-varying delays," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 54, no. 8, pp. 730-734, Aug. 2007.
10. Y. He, G. P. Liu, D. Rees, and M. Wu, "Stability analysis for neural networks with time-varying interval delay," IEEE Trans. Neural Netw. vol. 18, no. 6, pp. 1850-1854, Nov. 2007.
11. Y. He, Q. G. Wang, and M. Wu, "LMI-based stability criteria for neural networks with multiple time-varying delays," Phys. D, vol. 212, no. 1/2, pp. 126-136, Dec. 2005.
12. Z. Wang and H. Zhang, "LMI-based criteria for globally asymptotic stability of cellular neural networks with multiple delays," Chin. J. Electron., vol. 16, no. 1, pp. 111-114, Jan. 2007.
13. Z. Wang, H. Zhang, and W. Yu, "Robust exponential stability analysis of neural networks with multiple time delays," Neurocomputing, vol. 70, no. 13-15, pp. 2534-2543, Aug. 2007.
14. H. Zhang and G. Wang, "New criteria of global exponential stability for a class of generalized neural networks with time-varying delays," Neurocomputing, vol. 70, no. 13-15, pp. 2486-2494, Aug. 2007.
15. X. Liao, G. Chen, and E. N. Sancheez, "Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach," Neural Netw., vol. 15, no. 7, pp. 855-866, Sep. 2002.
16. Q. Zhang, X. Wei, and J. Xu, "Delay-dependent exponential stability of cellular neural networks with time-varying delays," Chaos, Solitons Fractals, vol. 23, no. 4, pp. 1363-1369, Feb. 2005.
17. Q. Zhang, X. Wei, and J. Xu, "Delay-dependent global stability results for delayed Hopfield neural networks," Chaos, Solitons Fractals, vol. 34, no. 2, pp. 662-668, Oct. 2007.
18. W. Yu and L. Yao, "Global robust stability of neural networks with time varying delays," J. Comput. Appl. Math., vol. 206, no. 2, pp. 679-687, Sep. 2007.
19. C. C. Hua, C. N. Long, and X. P. Guan, "New results on stability analysis of neural networks with time-varying delays," Phys. Lett. A vol. 352, no. 4/5, pp. 335-340, Apr. 2006.
20. Y. Shen and J. Wang, "An improved algebraic criterion for global exponential stability of recurrent neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 19, no. 3, pp. 528-531, Mar. 2008.
21. Z. Zuo and Y. Wang, "Robust stability criterion for delayed cellular neural networks with norm-bounded uncertainties," IET Control Theory Appl., vol. 1, no. 1, pp. 387-392, Jan. 2007.
22. J. H. Park, "Global exponential stability of cellular neural networks with variable delays," Appl. Math. Comput., vol. 183, no. 2, pp. 1214-1219, Dec. 2006.
23. W. Zheng and J. Zhang, "Global exponential stability of a class of neural networks with variable delays," Comput. Math. Appl., vol. 49, no. 5/6, pp. 895-902, 2005.
24. S. Xu and J. Lam, "A new approach to exponential stability analysis of neural networks with time-varying delays," Neural Netw., vol. 19, no. 1, pp. 76-83, Jan. 2006.
25. Q. Song, "Exponential stability of recurrent neural networks with both time-varying delays and general activation functions via LMI approach," Neurocomputing, vol. 71, no. 13-15, pp. 2823-2830, Aug. 2008.
26. Z. Zeng and J. Wang, "Global exponential stability of recurrent neural networks with time-varying delays in the presence of strong external stimuli," Neural Netw., vol. 19, no. 10, pp. 1528-1537, Dec. 2006.
27. G. J. Yu, C. Y. Lu, J. S. H. Tsai, T. J. Su, and B. D. Liu, "Stability of cellular neural networks with time-varying delay," IEEE Trans. Circuits Syst. II, Fundam. Theory Appl., vol. 50, no. 5, pp. 677-679, May 2003.
28. Z. Zeng and J. Wang, "Improved conditions for global exponential stability of recurrent neural networks with time-varying delays," IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 623-635, May 2006.
29. S. Xu, Y. Chu, and J. Lu, "New results on global exponential stability of recurrent neural networks with time-varying delays," Phys. Lett. A, vol. 352, no. 4/5, pp. 371-379, Apr. 2006.
30. J. H. Park, "Further note on global exponential stability of uncertain cellular neural networks with variable delays," Appl. Math. Comput. vol. 188, no. 1, pp. 850-854, 2007.
31. W. Wu and B. T. Cui, "Global robust exponential stability of delayed neural networks," Chaos, Solitons Fractals, vol. 35, no. 4, pp. 747-754, Feb. 2008.
32. T. Shen and Y. Zhang, "Improved global robust stability criteria for delayed neural networks," IEEE Trans. Circuits Syst. II, Exp. Briefs vol. 54, no. 8, pp. 715-719, Aug. 2007.
33. V. Singh, "LMI approach to the global robust stability of a larger class of neural networks with delay," Chaos, Solitons Fractals, vol. 32, no. 5, pp. 1927-1934, Jun. 2007.
34. H. Zhang and Z. Wang, "Global asymptotic stability of delayed cellular neural networks," IEEE Trans. Neural Netw., vol. 18, no. 3, pp. 947-950, May 2007.
35. S. Boyd, L. E. I. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequality in System and Control Theory. Philadelphia, PA: SIAM, 1994.