New exponentially convergent state estimation method for delayed neural networks

Neurocomputing

Volumn 72, Issue 16-18, 2009, Pages 3935-3942

  Mahmoud, Magdi S ^a  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

Author keywords

Delayed neural networks (DNNs); Global exponential stability; Interval time varying delay; LMIs; State estimation

Indexed keywords

ACTIVATION FUNCTIONS; DELAY-DEPENDENT; DELAYED NEURAL NETWORKS; DELAYED NEURAL NETWORKS (DNNS); ERROR SYSTEMS; GAIN MATRICES; GLOBAL EXPONENTIAL STABILITY; INTEGRAL INEQUALITIES; INTERVAL TIME-VARYING DELAY; LINEAR ESTIMATORS; LMIS; LOWER AND UPPER BOUNDS; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; STATE ESTIMATION METHODS; STATE ESTIMATORS; TIME-DELAYS; TIME-VARYING DELAY;

ESTIMATION; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; NEURAL NETWORKS; ROBUSTNESS (CONTROL SYSTEMS); STATE ESTIMATION; SYSTEM STABILITY; THREE TERM CONTROL SYSTEMS; TIME VARYING CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

TIME VARYING NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CONTROL SYSTEM; CONTROLLED STUDY; MACHINE LEARNING; MATHEMATICAL COMPUTING; PRIORITY JOURNAL; PROBLEM SOLVING; PROCESS OPTIMIZATION; SYSTEMATIC ERROR; TIME;

EID: 69249246972     PISSN: 09252312     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neucom.2009.04.007     Document Type: Article

References (31)

1. Arik S. An analysis of exponential stability of delayed neural networks with time-varying delays. Neural Network 17 (2004) 1027-1031
2. S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, Linear matrix inequalities in control, SIAM Studies in Applied Mathematics, Philadelphia, 1994.
3. Cao J.D., and Wang L. Global exponential stability and periodicity of recurrent neural networks with time-delays. IEEE Transaction on Circuits and Systems-I 52 5 (2005) 920-931
4. Cau R., Lien C., and Hsieh J.W. Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach. Chaos, Solitons & Fractals 31 4 (2007) 1258-1267
5. Chua L., and Yang L. Cellular neural networks: theory and applications. IEEE Transactions on Circuits and Systems I 35 (1988) 1257-1290
6. Gopalsamy K. Stability of artificial neural networks with impulses. Applied Mathematics and Computation 154 (2004) 783-813
7. Gu K., Kharitonov V.L., and Chen J. Stability of Time-Delay Systems (2003), Birkhauser, Boston
8. He Y., Wu M., and She J.H. Delay-dependent exponential stability of delayed neural networks with time-varying delays. IEEE Transactions on Circuits and Systems-II, Express Briefs 53 7 (2006) 553-557
9. He Y., Liu G.P., and Rees D. New delay-dependent stability criteria for neutral networks with time-varying delays. IEEE Transactions on Neural Networks 18 1 (2007) 310-314
10. 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
11. Hua C.C., Long C.N., and Guan X.P. New results on stability analysis of neural networks with time-varying delays. Physics Letters A 352 (2006) 335-340
12. Huang H., Feng G., and Cao J. An LMI approach to delay-dependent state estimation for delayed neural networks. Neurocomputing 71 (2008) 2857-2867
13. Kwon O.M., and Park J.H. New delay-dependent robust stability criterion for uncertain neural networks with time-varying delays. Applied Mathematics and Computation 183 (2008)
14. Liao T.L., and Wang F.C. Global stability for cellular neural networks with time-delay. IEEE Transactions on Neural Networks 11 6 (2000) 1481-1484
15. Liao X., Wang J., and Zeng Z. Global asymptotic stability and global exponential stability of delayed cellular neural networks. IEEE Transactions on Circuits and Systems-II: Express Briefs 52 7 (2005) 403-409
16. Mahmoud M.S. Robust Control and Filtering for Time-Delay Systems (2000), Marcel-Dekker, New York
17. Mahmoud M.S., and Ismail A. New results on delay-dependent control of time-delay systems. IEEE Transactions on Automatic Control 50 (2005) 95-100
18. Mou S., Gao H., Qiang W., and Chen K. New delay-dependent exponential stability for neural networks with time delay. IEEE Transactions on Systems, Man and Cybernetics Part-B 38 2 (2008) 571-576
19. 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
20. Orman Z., and Arik S. New results for global stability of Cohen-Grossberg neural networks with multiple time delays. Neurocomputing 71 (2008) 3053-3063
21. Park J.H. Robust stability of bidirectional associative memory neural networks with time delays. Physics Letters A 349 6 (2006) 494-499
22. Park J.H. On global stability criterion of neural networks with continuously distributed delays. Chaos, Solitons & Fractals 37 2 (2008) 444-449
23. 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
24. Park J.H., Kwon O.M., and Lee S.M. State estimation for neural networks of neutral-type with interval time-varying delays. Applied Mathematics and Computation 203 1 (2008) 217-223
25. 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, Solitons & Fractals 37 (2008) 360-368
26. Singh V. Global robust stability of delayed cellular neural networks: an LMI approach. IEEE Transactions on Circuits and Systems-II, Express Briefs 52 1 (2005) 33-36
27. Wang Z., Ho D.W.C., and Liu X. State estimation for delayed neural networks. IEEE Transactions on Neural Networks 16 (2005) 279-284
28. Wu M., Liu F., Shi P., He Y., and Yokoyama R. Exponential stability analysis for neural networks with time-varying delays. IEEE Transactions on Systems, Man and Cybernetics-Part B 38 4 (2008) 1152-1156
29. Xu S., Chu Y., and Lu J. New results on global exponential stability of recurrent neural networks with time-varying delays. Physics Letters A 352 (2006) 371-379
30. ∞ control of systems with uncertainty. Automatica 41 (2005) 999-1007
31. Zhang Q., Ma R., Wang C., and Xu J. Delay-dependent exponential stability of cellular neural networks with time-varying delays. Chaos, Solitons & Fractals 23 (2005) 1363-1369