Title:
|
The strong pointwise convergence of nearest neighbor function fitting algorithm with applications to system identification (English) |
Author:
|
Georgiev, Alexander A. |
Language:
|
English |
Journal:
|
Kybernetika |
ISSN:
|
0023-5954 |
Volume:
|
21 |
Issue:
|
2 |
Year:
|
1985 |
Pages:
|
118-122 |
. |
Category:
|
math |
. |
MSC:
|
62G05 |
MSC:
|
65C99 |
MSC:
|
93C05 |
MSC:
|
93E12 |
MSC:
|
93E25 |
idZBL:
|
Zbl 0579.93062 |
idMR:
|
MR797325 |
. |
Date available:
|
2009-09-24T17:46:09Z |
Last updated:
|
2012-06-05 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124802 |
. |
Reference:
|
[1] J. Benedetti: On the nonparametric estimation of regression function.J. Roy. Statist. Soc. B39 (1977), 248-253. MR 0494656 |
Reference:
|
[2] A. A. Georgiev: Nonparametric system identification by kernel methods.IEEE Trans. Automat. Control AC-29 (1984), 356-358. Zbl 0532.93064 |
Reference:
|
[3] A. A. Georgiev: A nonparametric algorithm for identification of linear dynamic SISO systems of unknown order.Systems & Control Letters 4 (1984), 273-280. Zbl 0601.93054, MR 0753977 |
Reference:
|
[4] A. A. Georgiev: Nonparametric kernel algorithm for recovery of functions from noisy measurements with applications.IEEE Trans. Automat. Control AC-30 (1985), to appear. Zbl 0564.93071, MR 0794215 |
Reference:
|
[5] G. C. Goodwin, P. L. Payne: Dynamical System Identification: Experiment Design and Data Analysis.Academic Press, New York 1977. MR 0499203 |
Reference:
|
[6] W. Greblicki: Nonparametric system identification by orthogonal series.Problems Control Inform. Theory, (1979), 67-73. Zbl 0407.93057, MR 0531948 |
Reference:
|
[7] W. Greblicki: Nearest Neighbor Algorithm for Recovering Functions from Noise.Report No. 30/82/1-6, Technical University of Wroclaw, Wroclaw 1982. |
Reference:
|
[8] W. Greblicki, A. Krzyżak: Nonparametric identification of a memoryless system with cascade structure.Internal. J. System Sci. 10 (1979), 1301 - 1310. MR 0551669 |
Reference:
|
[9] R. L. Kashyap: Maximum likelihood identification of stochastic linear systems.IEEE Trans. Automat. Control AC-15 (1970), 25-34. MR 0274088 |
Reference:
|
[10] M. B. Priestley, M. T. Chao: Nonparametric function fitting.J. Roy. Statist. Soc. B 34 (1972), 385-392. MR 0331616 |
Reference:
|
[11] W. E. Pruitt: Summability of independent random variables.J. Math. Mech. 75 (1966), 769-776. Zbl 0158.36403, MR 0195135 |
Reference:
|
[12] E. Rafajłowicz: Nonparametric algorithm for identification of weakly nonlinear static distributed-parameter svstems.Systems & Control Letters 4 (1984), 91 - 96. |
Reference:
|
[13] L. Rutkowski: On system identification by nonparametric function fitting.IEEE Trans. Automat. Control. AC-27 (1982), 225-227. Zbl 0471.93065 |
Reference:
|
[14] L. Rutkowski: On nonparametric identification with prediction of time-varying systems.IEEE Trans. Automat. Control AC-29 (1984), 58 - 60. Zbl 0547.93071 |
Reference:
|
[15] G. N. Saridis Z. J. Nicolic, K. S. Fu: Stochastic approximation for system identification, estimation, and decomposition of mixtures.IEEE Trans. Syst. Sci. Cybern. SSC-5 (1969), 8-15. |
Reference:
|
[16] G. N. Saridis: Expanding subinterval random search for system identification and control.IEEE Trans. Automat. Control. AC-22 (1977), 405-412. Zbl 0354.93024, MR 0497200 |
Reference:
|
[17] E. F. Schuster, S. Yakowitz: Contributions to the theory of nonparametric regression with application to system identification.Ann. Statist. 7 (1979). 139- 149. Zbl 0401.62033, MR 0515689 |
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