Robust Adaptive Control of Unknown Modified Cohen-Grossberg Neural Networks with Delays

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 54, Issue 6, 2007, Pages 502-506

  Chen, Guanrong ^b   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Global asymptotical stability; Lyapunov functional method; matrix inequality; modified Cohen Grossberg neural network; nonsmooth analysis; time delay

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; PERTURBATION TECHNIQUES; ROBUST CONTROL; TIME DELAY;

COHEN-GROSSBERG NEURAL NETWORKS; NONSMOOTH ANALYSIS;

NEURAL NETWORKS;

EID: 34347387075     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2007.894427     Document Type: Article

References (28)

1. R. T. Rockafellar and R. J. B. Wets, Variational Analysis. Berlin, Germany: Springer-Verlag, 1998.
2. F. H. Clarke, Optimization and Nonsmooth Analysis. New York: Wiley, 1983.
3. M. A. Cohen and S. Grossberg, “Absolute stability of global pattern formation and parallel memory storage by competitive neural networks,” IEEE Trans. Syst. Man Cybern., vol. SMC-13, no. 5, pp. 815–825, Sep./Oct. 1983.
4. H. Ye, A. N. Michel, and K. Wang, “Qualitive analysis of Cohen-Grossberg neural networks with multiple delays,” Phys. Rev. E, vol. 51, pp. 2611–2618, 1995.
5. T. Chen and L. Rong, “Robust global exponential stability of Cohen-Grossberg neural networks with time delays,” IEEE Trans. Neural Networks, vol. 15, no. 1, pp. 203–206, Jan. 2006.
6. Z. Wang, Y. Liu, M. Li, and X. Liu, “Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays,” IEEE Trans. Neural Netw., vol. 17, no. 3, pp. 814–820, May 2006.
7. K. Yuan and J. Cao, “An analysis of global asymptotic stability of delayed Cohen-Grossberg neural networks via nonsmooth analysis,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 9, pp. 1854–1861, Sep. 2005.
8. 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.
9. S. Q. Hu and J. Wang, “Global exponential stability of continuous-time interval neural networks,” Phys. Rev. E, vol. 65, pp. 1–9, 2002.
10. H. Ye and A. N. Michel, “Robust stability of nonlinear time-delay systems with applications to neural networks,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 43, no. 7, pp. 532–543, Jul. 1996.
11. X. F. Liao, K. W. Wong, Z. Wu, and G. Chen, “Novel robust stability criteria for interval-delayed Hopfield neural networks,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 11, pp. 1355–1359, Nov. 2001.
12. O. M. Kwon and J. H. Park, “On improved delay-dependent robust control for uncertain time-delay systems,” IEEE Trans. Autom. Contr., vol. 49, no. 11, pp. 1991–1995, Nov. 2004.
13. W. Yu and J. Cao, “Synchronization control of stochastic delayed neural networks,” Phys. A, vol. 373, pp. 252–260, 2007.
14. F. Zheng, Q. Wang, and T. Lee, “Adaptive robust control of uncertain time delay systems,” Automatica, vol. 41, pp. 1375–1383, 2005.
15. W. Yu and J. Cao, “Adaptive Q-S (lag, anticipated, and complete) time-varying synchronization and parameters identification of uncertain delayed neural networks,” Chaos, vol. 16, 2006, article 023119.
16. S. S. Ge, F. Hong, and T. H. Lee, “Robust adaptive control of non-linear systems with unknown time delays,” Automatica, vol. 41, pp. 1181–1190, 2005.
17. S. S. Ge, F. Hong, and T. H. Lee, “Adaptive neural network control of nonlinear systems with unknown time delays,” IEEE Trans. Autom. Contr., vol. 48, no. 12, pp. 2004–2010, Dec. 2003.
18. F. J. Lin, R. J. Wai, W. D. Chou, and S. P. Hsu, “Adaptive backstepping control using recurrent neural network for linear induction motor drive,” IEEE Trans. Ind. Electron., vol. 49, no. 1, pp. 134–146, Feb. 2002.
19. V. Singh, “Global robust stability of delayed neural networks: An LMI approach,” IEEE Trans. Circuits Syst. II, vol. 52, no. 1, pp. 33–36, Jan. 2005.
20. V. Singh, “Robust stability of cellular neural networks with delay: Linear matrix inequality approach,” Proc. IEE Control Theory Appl., vol. 151, no. 1, Jan. 2004.
21. S. Arik, “Global robust stability of delayed neural networks,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 1, pp. 156–160, Jan. 2003.
22. K. Ichikawa, “Adaptive control of delay systems,” Int. J. Contr., vol. 43, pp. 1653–1659, 1986.
23. R. Ortega and R. Lozano, “Globally stable adaptive controller for systems delay,” Int. J. Contr., vol. 47, pp. 17–23, 1988.
24. O. M. Kwon and J. H. Park, “On improved delay-dependent robust control for uncertain time-delay systems,” IEEE Trans. Autom. Contr., vol. 49, no. 11, pp. 1991–1995, Nov. 2004.
25. W. Yu and J. Cao, “Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification,” Phys. A, vol. 375, no. 2, pp. 467–482, 2007.
26. J. Cao and Q. Song, “Stability in Cohen-Grossberg type BAM neural networks with time-varying delays,” Nonlinearity, vol. 19, no. 7, pp. 1601–1617, 2006.
27. J. Cao and X. Li, “Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach,” Phys. D, vol. 212, no. 1–2, pp. 54–65, 2005.
28. J. Cao and J. Liang, “Boundedness and stability for Cohen-Grossberg neural networks with time-varying delays,” J. Math. Anal. Appl., vol. 296, no. 2, pp. 665–685, 2004.