TY - GEN
A1 - Dymkou, Vitali
A1 - Dymkov, Michael
A2 - Gałkowski, Krzysztof - ed.
A2 - Longman, Richard W. - ed.
A2 - Rogers, Eric - ed.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - 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.
L1 - http://www.zbc.uz.zgora.pl/Content/59019/AMCS_2003_13_1_4.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/59019
KW - 2D systems
KW - optimization
KW - entire functions
KW - Fourier transform
KW - approximation
T1 - An application of the Fourier transform to optimization of continuous 2-D systems
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=59019
ER -