An Application of the Fourier Transform to Optimization of Continuous 2-D Systems

• Autorzy: Dymkou V. , Dymkov M.
• Języki publikacji: EN

Abstrakty

EN

This paper uses the theory of entire functions to study the linear quadratic optimization problem for a class of continuous 2D systems. We show that in some cases optimal control can be given by an analytical formula. A simple method is also proposed to find an approximate solution with preassigned accuracy. Some application to the 1D optimization problem is presented, too. The obtained results form a theoretical background for the design problem of optimal controllers for relevant processes.

Słowa kluczowe

EN

2D systems; optimization; entire functions; Fourier transform; approximation

PL

system 2D; funkcja całkowita; transformata Fouriera

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: Vol. 13, no 1
• Strony: 45--54
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Dymkou V.

• Graduate College, University of Erlangen-Nürnberg, Cauerstreet 7, D–91058, Erlangen, Germany

autor

Dymkov M.

• Institute of Mathematics, National Academy of Sciences, Surganov, 11, 220072, Minsk, Belarus

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