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

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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.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, University of Lodz, Lodz, Poland

    Dariusz Idczak & Marek Majewski

Authors
  1. Dariusz Idczak
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  2. Marek Majewski
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Corresponding author

Correspondence to Marek Majewski.

Additional information

This work is a part of the research project N514 027 32/3630 supported by the Ministry of Science and Higher Education (Poland).

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Idczak, D., Majewski, M. Existence of optimal solutions of two-directionally continuous linear repetitive processes. Multidim Syst Sign Process 23, 155–162 (2012). https://doi.org/10.1007/s11045-010-0105-4

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  • DOI: https://doi.org/10.1007/s11045-010-0105-4

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