Passivity analysis of neural networks with time-varying delays

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 56, Issue 4, 2009, Pages 325-329

  Xu, Shengyuan ^a   Zheng, Wei Xing ^b   Zou, Yun ^a  

^a NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b UNIVERSITY OF WESTERN SYDNEY   (Australia)

Author keywords

Linear matrix inequality (LMI); Neural networks; Passivity; Time varying delays

Indexed keywords

LINEAR MATRIX INEQUALITIES; ROBUSTNESS (CONTROL SYSTEMS); TIME DELAY; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNCERTAINTY ANALYSIS;

DELAY DEPENDENT; NORM BOUNDED PARAMETER UNCERTAINTY; PASSIVITY; PASSIVITY ANALYSIS; TIME VARYING- DELAYS;

NEURAL NETWORKS;

EID: 67349190577     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2009.2015399     Document Type: Article

References (25)

1. S. Arik, "Global asymptotic stability of a larger class of neural networks with constant time delay," Phys. Lett. A, vol. 311, no. 6, pp. 504-511, May 2003.
2. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, "Linear matrix inequalities in system and control theory," in SIAM Studies in Applied Mathematics. Philadelphia, PA: SIAM, 1994.
3. J. Cao, "Global stability analysis in delayed cellular neural networks," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 59, no. 5, pp. 5940-5944, May 1999.
4. J. Cao and J. Wang, "Global asymptotic and robust stability of recurrent neural networks with time delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 2, pp. 417-426, Feb. 2005.
5. W.-H. Chen, X. Lu, Z.-H. Guan, and W. X. Zheng, "Delay-dependent exponential stability of neural networks with variable delay: An LMI approach," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 9, pp. 837-842, Sep. 2006.
6. W.-H. Chen and W. X. Zheng, "Global asymptotic stability of a class of neural networks with distributed delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 3, pp. 644-652, Mar. 2006.
7. W.-H. Chen and W. X. Zheng, "On global asymptotic stability of Cohen-Grossberg neural networks with variable delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 10, pp. 3145-3159, Nov. 2008.
8. W.-H. Chen and W. X. Zheng, "Improved delay-dependent asymptotic stability criteria for delayed neural networks," IEEE Trans. Neural Netw., vol. 19, no. 12, pp. 2154-2161, Dec. 2008.
9. H. J. Cho and J. H. Park, "Novel delay-dependent robust stability criterion of delayed cellular neural networks," Chaos Solitons Fractals, vol. 32, no. 3, pp. 1194-1200, May 2007.
10. L. O. Chua and L. Yang, "Cellular neural networks: Theory," IEEE Trans. Circuits Syst., vol. 35, no. 10, pp. 1257-1272, Oct. 1988.
11. Y. He, G. 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.
12. Y. He, G. 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.
13. H. Huang, D.W. C. Ho, and J. Lam, "Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 5, pp. 251-255, May 2005.
14. C. Li and X. Liao, "Passivity analysis of neural networks with time delay," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 8, pp. 471-475, Aug. 2005.
15. C. Lin, Q.-G.Wang, and T. H. Lee, "Less conservative stability conditions for fuzzy large-scale systems with time delays," Chaos Solitons Fractals, vol. 29, no. 5, pp. 1147-1154, Sep. 2006.
16. C. Lin, Q.-G.Wang, and T. H. Lee, "Delay-dependent LMI conditions for stability and stabilization of T-S fuzzy systems with bounded time-delay," Fuzzy Sets Syst., vol. 157, no. 9, pp. 1229-1247, May 2006.
17. X. Lou and B. Cui, "Passivity analysis of integro-differential neural networks with time-varying delays," Neurocomputing, vol. 70, no. 4-6, pp. 1071-1078, Jan. 2007.
18. R. Lozano, B. Brogliato, O. Egeland, and B. Maschke, Dissipative Systems Analysis and Control: Theory and Applications. London, U.K.: Springer-Verlag, 2000.
19. A. N. Michel and D. Liu, Qualitative Analysis and Synthesis of Recurrent Neural Networks. New York: Marcel Dekker, 2002.
20. J. H. Park, "Further results on passivity analysis of delayed cellular neural networks," Chaos Solitons Fractals, vol. 34, no. 5, pp. 1546-1551, Dec. 2007.
21. S. Xu, T. Chen, and J. Lam, "Robust H8 filtering for uncertain Markovian jump systems with mode-dependent time delays," IEEE Trans. Autom. Control, vol. 48, no. 5, pp. 900-907, May 2003.
22. S. Xu, J. Lam, D. W. C. Ho, and Y. Zou, "Improved global robust asymptotic stability criteria for delayed cellular neural networks," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 35, no. 8, pp. 1317-1321, Dec. 2005.
23. S. Xu, J. Lam, D. W. C. Ho, and Y. Zou, "Novel global asymptotic stability criteria for delayed cellular neural networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 6, pp. 349-353, Jun. 2005.
24. W. Yu, "Passivity analysis for dynamic multilayer neuro identifier," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 1, pp. 173-178, Jan. 2003.
25. W. Yu and X. Li, "Passivity analysis of dynamic neural networks with different time-scales," Neural Process. Lett., vol. 25, no. 2, pp. 143-155, Apr. 2007.