Geodesic
An Application of the Fourier Transform to Optimization of Continuous 2-D Systems
International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 1, pp. 45-54.

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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
Mots-clés : informatyka 
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     author = {Dymkou, V. and Dymkov, M.},
     title = {An {Application} of the {Fourier} {Transform} to {Optimization} of {Continuous} {2-D} {Systems}},
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Dymkou, V.; Dymkov, M. An Application of the Fourier Transform to Optimization of Continuous 2-D Systems. International Journal of Applied Mathematics and Computer Science, Tome 13 (2003) no. 1, pp. 45-54. http://geodesic.mathdoc.fr/item/IJAMCS_2003_13_1_a3/