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

International Journal of Applied Mathematics and Computer Science (2003)

- Volume: 13, Issue: 1, page 45-54
- ISSN: 1641-876X

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topDymkou, Vitali, and Dymkov, Michael. "An application of the Fourier transform to optimization of continuous 2-D systems." International Journal of Applied Mathematics and Computer Science 13.1 (2003): 45-54. <http://eudml.org/doc/207622>.

@article{Dymkou2003,

abstract = {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.},

author = {Dymkou, Vitali, Dymkov, Michael},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {Fourier transform; optimization; approximation; 2D systems; entire functions; 2-D systems},

language = {eng},

number = {1},

pages = {45-54},

title = {An application of the Fourier transform to optimization of continuous 2-D systems},

url = {http://eudml.org/doc/207622},

volume = {13},

year = {2003},

}

TY - JOUR

AU - Dymkou, Vitali

AU - Dymkov, Michael

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2003

VL - 13

IS - 1

SP - 45

EP - 54

AB - 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.

LA - eng

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

UR - http://eudml.org/doc/207622

ER -

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