An application of the Fourier transform to optimization of continuous 2-D systems

• Autorzy: Vitali Dymkou , Michael Dymkov
• 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

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

• Wydawca: University of Zielona Gora Press
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2003
• Tom: 13
• Numer: 1
• Strony: 45-54

Daty

wydano

2003

otrzymano

2002-09-01

poprawiono

2003-01-01

Twórcy

autor

Vitali Dymkou

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

autor

Michael Dymkov

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

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