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Maximum principle for optimal control of two-directionally continuous linear repetitive processes

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Abstract

In the paper, maximum principle for a two-directionally continuous variant of a linear autonomous repetitive process with cost functional depending on a fixed “end-function” is obtained. Maximum condition has a pointwise form, a conjugate system has a Fornasini-Marchesini form. The result is derived from the extremum principle for smooth-convex problems, due to Ioffe and Tikhomirov.

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  1. Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238, Lodz, Poland

    Dariusz Idczak

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  1. Dariusz Idczak
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Correspondence to Dariusz Idczak.

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Idczak, D. Maximum principle for optimal control of two-directionally continuous linear repetitive processes. Multidim Syst Sign Process 19, 411–423 (2008). https://doi.org/10.1007/s11045-007-0036-x

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  • DOI: https://doi.org/10.1007/s11045-007-0036-x

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