International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2003
Volume 13 - 2003

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

Vitali Dymkou, Michael Dymkov

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.

Keywords
2D systems, optimization, entire functions, Fourier transform, approximation