| Title:
|
Nonlinear approximation in control problems (English) |
| Author:
|
Štěpán, Jaromír |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
19 |
| Issue:
|
6 |
| Year:
|
1983 |
| Pages:
|
491-504 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A55 |
| MSC:
|
41A20 |
| MSC:
|
49D99 |
| MSC:
|
65D10 |
| MSC:
|
93B15 |
| MSC:
|
93B30 |
| MSC:
|
93C05 |
| MSC:
|
93C15 |
| MSC:
|
93C99 |
| idZBL:
|
Zbl 0529.93022 |
| idMR:
|
MR734835 |
| . |
| Date available:
|
2009-09-24T17:37:34Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124698 |
| . |
| Reference:
|
[1] N. I. Achiezer: Teorija aproximaciji.GITTL, Moskva 1954. |
| Reference:
|
[2] L. Collatz: Funktionalanalysis und numerische Mathematik.Springer-Verlag, Berlin 1964. Zbl 0139.09802, MR 0165651 |
| Reference:
|
[3] P. Eykhoff: System Identification.J. Wiley, London 1974. |
| Reference:
|
[4] D. K. Faddeev V. N. Faddeeva: Vyčislitelnyje metody linejnoj algebry.Fizmatgiz, Moskva 1960. |
| Reference:
|
[5] R. Fletcher: Practical Methods of Optimization. Vol. 1: Unconstrained Optimization.J. Wiley, New York 1980. Zbl 0439.93001, MR 0585160 |
| Reference:
|
[6] H. O. Hartley: The modified Gauss-Newton for the fitting of nonlinear regression functions by least squares.Technometrics 3 (1961), 269-280. MR 0124117 |
| Reference:
|
[7] L. V. Kantorovich: O metodě Newtona.Trudy mat. inst. im. Steklova XXVIII, Moskva 1949, 104-144. MR 0038560 |
| Reference:
|
[8] D. W. Marquardt: An Algorithm for least-squares estimation of nonlinear parameters.SIAM J. Appl. Math. 11 (1963), 431-441. Zbl 0112.10505, MR 0153071 |
| Reference:
|
[9] G. Meinardus: Approximation von Funktionen und ihre numerische Behandlung.Springer-Verlag, Berlin 1964. Zbl 0124.33103, MR 0176272 |
| Reference:
|
[10] R. R. Meyer, P. M. Roth: Modified damped least squares.J. Inst. Math. Appl. 9 (1972), 218-233. Zbl 0243.65003 |
| Reference:
|
[11] J. Militký: Řešení úloh regrese.(Solution of the regression problems). Dům techniky, Ostrava 1980. |
| Reference:
|
[12] J. R. Rice: The Approximation of Functions.Addision-Wesley, London 1969. Zbl 0185.30601 |
| Reference:
|
[13] T. Söderström L. Ljung, I. Gustavsson: A theoretical analysis of recursive identification methods.Automatica 14 (1978), 231 - 244. |
| Reference:
|
[14] J. Štěpán: Kriterium dominantnosti kořenů.(Criterion of the root dominance). Kybernetika 3 (1967), 1, 58-68. |
| Reference:
|
[15] J. Štěpán: Aproximace funkcí v úlohách regulační techniky.(Approximation of functions in control problems). Kybernetika 3 (1967), 3, 277-292. |
| Reference:
|
[16] J. Štěpán: Some problems of system identification.Kybernetika 7 (1971),2 , 133-155. MR 0302241 |
| Reference:
|
[17] J. Štěpán: Problémy praktické analýzy složitých systémů.(Some problems of practical analysis of large scale systems). Automatizace 25 (1982), 1, 26-31. |
| Reference:
|
[18] J. Štěpán: A new method for nonlinear approximation of signals.Submitted for publication. |
| Reference:
|
[19] M. A. Wolfe: Numerical Methods for Unconstrained Optimization.Van Nostrand Reinhold, New York 1978. Zbl 0379.65033, MR 0565858 |
| Reference:
|
[20] P. Young: Parameter estimation for continuous-time models - A survey.Proceedings of IFAC Congress, Helsinki 1978, Pergamon Press, Oxford 1978. |
| . |
