Nonlinear approximation in control problems

 Access to full text

 Full (PDF)

1. N. I. Achiezer, Teorija aproximaciji, GITTL, Moskva 1954. (1954) 
2. L. Collatz, Funktionalanalysis und numerische Mathematik, Springer-Verlag, Berlin 1964. (1964) Zbl0139.09802MR0165651
3. P. Eykhoff, System Identification, J. Wiley, London 1974. (1974) 
4. D. K. Faddeev V. N. Faddeeva, Vyčislitelnyje metody linejnoj algebry, Fizmatgiz, Moskva 1960. (1960) 
5. R. Fletcher, Practical Methods of Optimization. Vol. 1: Unconstrained Optimization, J. Wiley, New York 1980. (1980) Zbl0439.93001MR0585160
6. H. O. Hartley, The modified Gauss-Newton for the fitting of nonlinear regression functions by least squares, Technometrics 3 (1961), 269-280. (1961) MR0124117
7. L. V. Kantorovich, O metodě Newtona, Trudy mat. inst. im. Steklova XXVIII, Moskva 1949, 104-144. (1949) MR0038560
8. D. W. Marquardt, An Algorithm for least-squares estimation of nonlinear parameters, SIAM J. Appl. Math. 11 (1963), 431-441. (1963) Zbl0112.10505MR0153071
9. G. Meinardus, Approximation von Funktionen und ihre numerische Behandlung, Springer-Verlag, Berlin 1964. (1964) Zbl0124.33103MR0176272
10. R. R. Meyer, P. M. Roth, Modified damped least squares, J. Inst. Math. Appl. 9 (1972), 218-233. (1972) Zbl0243.65003
11. J. Militký, Řešení úloh regrese, (Solution of the regression problems). Dům techniky, Ostrava 1980. (1980) 
12. J. R. Rice, The Approximation of Functions, Addision-Wesley, London 1969. (1969) Zbl0185.30601
13. T. Söderström L. Ljung, I. Gustavsson, A theoretical analysis of recursive identification methods, Automatica 14 (1978), 231 - 244. (1978) 
14. J. Štěpán, Kriterium dominantnosti kořenů, (Criterion of the root dominance). Kybernetika 3 (1967), 1, 58-68. (1967) 
15. J. Štěpán, Aproximace funkcí v úlohách regulační techniky, (Approximation of functions in control problems). Kybernetika 3 (1967), 3, 277-292. (1967) 
16. J. Štěpán, Some problems of system identification, Kybernetika 7 (1971),2 , 133-155. (1971) MR0302241
17. J. Štěpán, Problémy praktické analýzy složitých systémů, (Some problems of practical analysis of large scale systems). Automatizace 25 (1982), 1, 26-31. (1982) 
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. (1978) Zbl0379.65033MR0565858
20. P. Young, Parameter estimation for continuous-time models - A survey, Proceedings of IFAC Congress, Helsinki 1978, Pergamon Press, Oxford 1978. (1978) 

1. Jaromír Štěpán, Robust quasi-linear system identification
2. Jaromír Štěpán, The uncertainty problem in control theory. I. Models of theories
3. Jaromír Štěpán, A new method for the nonlinear approximation of signals. I. The optimal damping factor
4. Jaromír Štěpán, A new method for the nonlinear approximation of signals. II. The convergence problem
5. Jaromír Štěpán, The uncertainty problem in control theory. II. The internally robust procedures