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An Application of the Fourier Transform to Optimization of Continuous 2-D Systems

Dymkou V., Dymkov M.

International Journal of Applied Mathematics and Computer Science

2003

Vol. 13, no 1

45-54

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.