Existence of optimal solutions of two-directionally continuous linear repetitive processes

Authors:
Dariusz Idczak;Marek Majewski
Affiliations:
Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland;Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland
Venue:
Multidimensional Systems and Signal Processing
Year:
2012

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Abstract

In the paper, an existence theorem for a Lagrange optimal control problem connected with a two-directionally continuous variant of a linear autonomous repetitive process is derived. As a corollary, existence of an optimal solution in the case of cost functional depending on a fixed "end-function" is obtained.