Nonlinear approximation in control problems
Kybernetika, Tome 19 (1983) no. 6, pp. 491-504 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 34A55, 41A20, 49D99, 65D10, 93B15, 93B30, 93C05, 93C15, 93C99
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Štěpán, Jaromír. Nonlinear approximation in control problems. Kybernetika, Tome 19 (1983) no. 6, pp. 491-504. http://geodesic.mathdoc.fr/item/KYB_1983_19_6_a5/

[1] N. I. Achiezer: Teorija aproximaciji. GITTL, Moskva 1954.

[2] L. Collatz: Funktionalanalysis und numerische Mathematik. Springer-Verlag, Berlin 1964. | MR | Zbl

[3] P. Eykhoff: System Identification. J. Wiley, London 1974.

[4] D. K. Faddeev V. N. Faddeeva: Vyčislitelnyje metody linejnoj algebry. Fizmatgiz, Moskva 1960.

[5] R. Fletcher: Practical Methods of Optimization. Vol. 1: Unconstrained Optimization. J. Wiley, New York 1980. | MR | Zbl

[6] H. O. Hartley: The modified Gauss-Newton for the fitting of nonlinear regression functions by least squares. Technometrics 3 (1961), 269-280. | MR

[7] L. V. Kantorovich: O metodě Newtona. Trudy mat. inst. im. Steklova XXVIII, Moskva 1949, 104-144. | MR

[8] D. W. Marquardt: An Algorithm for least-squares estimation of nonlinear parameters. SIAM J. Appl. Math. 11 (1963), 431-441. | MR | Zbl

[9] G. Meinardus: Approximation von Funktionen und ihre numerische Behandlung. Springer-Verlag, Berlin 1964. | MR | Zbl

[10] R. R. Meyer, P. M. Roth: Modified damped least squares. J. Inst. Math. Appl. 9 (1972), 218-233. | Zbl

[11] J. Militký: Řešení úloh regrese. (Solution of the regression problems). Dům techniky, Ostrava 1980.

[12] J. R. Rice: The Approximation of Functions. Addision-Wesley, London 1969. | Zbl

[13] T. Söderström L. Ljung, I. Gustavsson: A theoretical analysis of recursive identification methods. Automatica 14 (1978), 231 - 244.

[14] J. Štěpán: Kriterium dominantnosti kořenů. (Criterion of the root dominance). Kybernetika 3 (1967), 1, 58-68.

[15] J. Štěpán: Aproximace funkcí v úlohách regulační techniky. (Approximation of functions in control problems). Kybernetika 3 (1967), 3, 277-292.

[16] J. Štěpán: Some problems of system identification. Kybernetika 7 (1971),2 , 133-155. | MR

[17] J. Štěpán: Problémy praktické analýzy složitých systémů. (Some problems of practical analysis of large scale systems). Automatizace 25 (1982), 1, 26-31.

[18] J. Štěpán: A new method for nonlinear approximation of signals. Submitted for publication.

[19] M. A. Wolfe: Numerical Methods for Unconstrained Optimization. Van Nostrand Reinhold, New York 1978. | MR | Zbl

[20] P. Young: Parameter estimation for continuous-time models - A survey. Proceedings of IFAC Congress, Helsinki 1978, Pergamon Press, Oxford 1978.