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Residuation of tropical series: rationality issues
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SYSNO ASEP 0370192 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Residuation of tropical series: rationality issues Author(s) Badouel, E. (FR)
Bouillard, A. (FR)
Darondeau, P. (FR)
Komenda, Jan (MU-W) RID, SAI, ORCIDSource Title Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference. - New York : IEEE, 2011 / Chong E.K.P. ; Polycarpou M.M. - ISBN 978-1-4673-0457-3 Pages s. 3855-3861 Number of pages 7 s. Action 50th IEEE Conference on Decision and Control and European Control Conference Event date 12.12.2011-15.12.2011 VEvent location Orlando Country US - United States Event type WRD Language eng - English Country US - United States Keywords (max,+) formal power series ; residuation ; rationality ; decidability Subject RIV BA - General Mathematics R&D Projects GAP103/11/0517 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000303506204077 EID SCOPUS 84860652234 DOI 10.1109/CDC.2011.6160228 Annotation Decidability of existence, rationality of delay controllers and robust delay controllers are investigated for systems with time weights in the tropical and interval semirings. Depending on the (max,+) or (min,+)-rationality of the series specifying the controlled system and the control objective, cases are identified where the controller series defined by residuation is rational, and when it is positive (i.e., when delay control is feasible). When the control objective is specified by a tolerance, i.e. by two bounding rational series, a nice case is identified in which the controller series is of the same rational type as the system specification series. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2012
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