Creator:

Dymkou, Vitali ; Dymkov, Michael

Contributor:

Gałkowski, Krzysztof - ed. ; Longman, Richard W. - ed. ; Rogers, Eric - ed.

Title:

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

Subtitle:

Multidimensional Systems nD and Iterative Learning Control

Group publication title:

AMCS, volume 13 (2003)

Subject and Keywords:

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

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2003

Resource Type:

artykuł

Pages:

45-54

Source:

AMCS, volume 13, number 1 (2003) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego