State estimation for neural networks of neutral-type with interval time-varying delays

Applied Mathematics and Computation

Volumn 203, Issue 1, 2008, Pages 217-223

  Park, Ju H ^a   Kwon, O M ^b   Lee, S M ^c  

^a Yeungnam University   (South Korea)

^b Chungbuk National University   (South Korea)

^c KT Cooperation   (South Korea)

Author keywords

Interval time varying delay; LMI; Lyapunov method; Neural networks; Neutral type; State estimator

Indexed keywords

ARTIFICIAL INTELLIGENCE; ESTIMATION; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; LYAPUNOV METHODS; MATRIX ALGEBRA; NEURAL NETWORKS; STATE ESTIMATION; TIME VARYING CONTROL SYSTEMS; TIME VARYING SYSTEMS;

CONVEX OPTIMIZATION ALGORITHMS; DELAY DEPENDENTS; DESIGN PROBLEMS; INTERVAL TIME; INTERVAL TIME-VARYING DELAY; LINEAR MATRIX INEQUAL-ITY; LMI; LYAPUNOV; LYAPUNOV METHOD; NEUTRAL-TYPE; NUMERICAL EXAMPLES; STATE ESTIMATOR; STATE ESTIMATORS; TIME-VARYING DELAYED;

TIME VARYING NETWORKS;

EID: 50249144559     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.04.025     Document Type: Article

References (34)

1. Chua L., and Yang L. Cellular neural networks: theory and applications. IEEE Transactions on Circuits and Systems I 35 (1988) 1257-1290
2. Hopfield J.J. Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences 81 (1984) 3088-3092
3. Chen C.J., Liao T.L., and Hwang C.C. Exponential synchronization of a class of chaotic neural networks. Chaos, Solitons & Fractals 24 (2005) 197-206
4. Otawara K., Fan L.T., Tsutsumi A., Yano T., Kuramoto K., and Yoshida K. An artificial neural network as a model for chaotic behavior of a three-phase fluidized bed. Chaos, Solitons & Fractals 13 (2002) 353-362
5. Gopalsamy K. Stability of artificial neural networks with impulses. Applied Mathematics and Computation 154 (2004) 783-813
6. Cao J. Global asymptotic stability of neural networks with transmission delays. International Journal of Systems Science 31 (2000) 313-1316
7. Arik S., and Tavsanoglu V. On the global asymptotic stability of delayed cellular neural networks. IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications 47 (2000) 571-574
8. Cao J., Zhong S., and Hu Y. Global stability analysis for a class of neural networks with varying delays and control input. Applied Mathematics and Computation 189 (2007) 1480-1490
9. Wang L. Stability of Cohen-Grossberg neural networks with distributed delays. Applied Mathematics and Computation 160 (2005) 93-110
10. Park J.H. Further note on global exponential stability of uncertain cellular neural networks with variable delays. Applied Mathematics and Computation 188 (2007) 850-854
11. Arik S. An analysis of global asymptotic stability of delayed cellular neural networks. IEEE Transactions on Neural Network 13 (2002) 1239-1242
12. Park J.H. Global exponential stability of cellular neural networks with variable delays. Applied Mathematics and Computation 183 2 (2006) 1214-1219
13. Park J.H. Further result on asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays. Applied Mathematics and Computation 182 2 (2006) 1661-1666
14. Zhao H., and Ding N. Dynamic analysis of stochastic Cohen-Grossberg neural networks with time delays. Applied Mathematics and Computation 183 (2006) 464-470
15. 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
16. 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
17. 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
18. Xu S., Lam J., Ho D.W.C., and Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays. Journal of Computational and Applied Mathematics 183 (2005) 16-28
19. Park J.H. Robust stability of bidirectional associative memory neural networks with time delays. Physics Letters A 349 6 (2006) 494-499
20. K.-W. Yu, C.-H. Lien, Stability criteria for uncertain neutral systems with interval time-varying delays, Chaos, Solitons & Fractals, doi:10.1016/j.chaos.2007.01.002.
21. J. Qiu, H. Yang, J. Zhang, Z. Gao, New robust stability criteria for uncertain neural networks with interval time-varying delays, Chaos, Solitons & Fractals, doi:10.1016/j.chaos.2007.01.087.
22. C. Peng, Y.-C. Tian, Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay, Journal of Computational and Applied Mathematics, in press, doi:10.1016/j.cam.2007.03.009.
23. Yue D., Peng C., and Tang G.Y. Guaranteed cost control of linear systems over networks with state and input quantisations. IEE Proceedings - Control Theory and Applications 153 6 (2006) 658-664
24. Qiu J., and Cao J. Delay-dependent robust stability of neutral-type neural networks with time delays. Journal of Mathematical Control Science and Applications 1 1 (2007) 179-188
25. Xu S., Lam J., Ho D.W.C., and Zou Y. Delay-dependent exponential stability for a class of neural networks with time delays. Journal of Computational and Applied Mathematics 183 (2005) 16-28
26. Park J.H., Kwon O.M., and Lee S.M. LMI optimization approach on stability for delayed neural networks of neutral-type. Applied Mathematics and Computation 196 1 (2008) 236-244
27. Kwon O.M., Park J.H., and Lee S.M. On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays. Applied Mathematics and Computation 197 2 (2008) 864-873
28. Park J.H., Park C.H., Kwon O.M., and Lee S.M. A new stability criterion for bidirectional associative memory neural networks of neutral-type. Applied Mathematics and Computation 199 2 (2008) 716-722
29. Wang Z., Ho D.W.C., and Liu X. State estimation for delayed neural networks. IEEE Transaction on Neural Networks 16 (2005) 279-284
30. H. Huang, G. Feng, J. Cao, An LMI approach to delay-dependent state estimation for delayed neural networks, Neurocomputing, doi:10.1016/j.neucom.2007.08.008.
31. Park J.H., and Kwon O.M. Design of state estimator for neural networks of neutral-type. Applied Mathematics and Computation 202 1 (2008) 360-369
32. Boyd B., Ghaoui L.E., Feron E., and Balakrishnan V. Linear Matrix Inequalities in Systems and Control Theory (1994), SIAM, Philadelphia
33. K. Gu, An integral inequality in the stability problem of time-delay systems, in: Proceedings of the IEEE CDC, Australia, 2000, pp. 2805-2810.
34. Gahinet P., Nemirovski A., Laub A., and Chilali M. LMI Control Toolbox User's Guide (1995), The Mathworks, Massachusetts