Identification of discrete Hammerstein systems by the Fourier series regression estimate

International Journal of Systems Science

Volumn 20, Issue 9, 1989, Pages 1729-1744

  Krzyzak, Adam ^a  

^a Gina Cody School of Engineering and Computer Science   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR SYSTEMS; MATHEMATICAL TRANSFORMATIONS--FOURIER TRANSFORMS; STATISTICAL METHODS--REGRESSION ANALYSIS; SYSTEMS SCIENCE AND CYBERNETICS--IDENTIFICATION;

FUNCTIONAL FORMS; GAUSS METHOD; HAMMERSTEIN SYSTEM; LINEAR SUBSYSTEMS; MEMORYLESS; POINTWISE CONVERGENCE; REGRESSION ESTIMATES; SINGLE INPUT , SINGLE OUTPUTS;

FOURIER SERIES; CONTROL SYSTEMS, NONLINEAR;

DENSITY FREE POINTWISE CONVERGENCE; DISCRETE HAMMERSTEIN SYSTEMS; DYNAMIC LINEAR SUBSYSTEM; FOURIER SERIES REGRESSION ESTIMATE;

EID: 0024738273     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207728908910255     Document Type: Article

References (33)

1. Anderson, T. W., 1971, The Statistical Analysis of Time Series (New York: Wiley).
2. Billings, S. A., 1980, Proc. Inst, elect. Engrs, Pt D, 127, 277.
3. Billings, S. A., and Fakhouri, S. Y., 1979, Int. J. Systems Sci., 10, 567.
4. Bleuez, J., and Bosq, D., 1979, Revue Roumaine de Mathematiques Pures et Appliquees, 24, 869.
5. Brillinger, D. R., 1981, Time Series Data Analysis and Theory (San Francisco: Holden-Day).
6. Brockwell, P. J., and Davis, R. A., 1987, Time Series-Theory and Methods (New York: Springer-Verlag).
7. Cambanis, S., and Masry, E., 1978, I.E.E.E. Trans. Inf. Theory, 24, 485.
8. Chang, F. H. I., and Luus, R., 1971, I.E.E.E. Trans, autom. Control, 16, 464.
9. Devroye, L., and Györfi, L., 1985, Nonparametric Density Estimation. The LI View (New York: Wiley).
10. Durbin, J., 1959. Biometrica, 46, 306.
11. Földes, A., and Reves, z.P., 1974, Studia Scientarium Mathematicarum Hungarica, 9, 81.
12. Gallman, P. G., 1975, I.E.E.E. Trans, autom. Control, 20, 771.
13. Gallman, P. G., 1976, I.E.E.E. Trans, Autom. Control, 21, 124.
14. Greblicki, W., and Pawlak, M., 1986, I.E.E.E. Trans, autom. Control, 31, 74.
15. Haist, N. D., Chang, F. H. I., and Luus, R., 1973, I.E.E.E. Trans, autom. Control, 18, 552.
16. Hartley, H. O., 1961, Technometrics, 3, 269.
17. Hasiewicz, Z., 1987, Int. J. Systems Sci., 18, 1595.
18. Hsia, T. C., 1977, System Identification (Lexington, MA: Heath).
19. Kronmal, R., and Tarter, M., 1968, J. Am. Statist. Ass, 63, 925.
20. Krzyzak, A., 1987, On identification of multivariate, discrete Hammerstein system by kernel regression estimate. Proc. 1987 Automatic Control Confi, Minneapolis, pp. 1174-1180.
21. Krzyzak, A., 1989, I.E.E.E. Trans. Inf. Theory (in press).
22. Krzyzak, A., and Pawlak, M., 1984, I.E.E.E. Trans. Inf. Theory, 30, 78.
23. Krzyzak, A., and Pawlak, M., 1987, J. Statist. Planning Inference, 16, 159.
24. Kung, M., and Womack, B. F., 1984, I.E.E.E. Trans, autom. Control, 29, 170.
25. McCannon, T. E., Gallagher, W. C., Minoo-Hamedani, D., and Wise, G. L., 1982, I.E.E.E. Trans. Inf. Theory, 28, 366.
26. Narendra, K. S., and Gallman, P. G., 1966, I.E.E.E. Trans, autom. Control., 11, 546.
27. Niedzwiecki, M., 1980, Archs Automatics Telemech., 25, 51 (in Polish).
28. Stapleton, J. C., and Baas, S. C., 1985, I.E.E.E. Trans. Circuits Systems, 32, 143.
29. Stone, C., 1982, Ann. Statist., 10, 1040.
30. Thathachar, M. A. L., and Ramaswamy, S., 1973, Int. J. Control, 18, 741.
31. Tolstow, G. P., 1976, Fourier Series (New York: Dover).
32. Wahba, G., 1975, Ann. Statist, 3, 15.
33. Zygmund, A., 1959, Trigonometric Series, Vol. 1 (Cambridge, U.K.: Cambridge University Press).