bibtype	C - Conference Paper (international conference)
ARLID	0326369
utime	20240111140721.7
mtime	20090626235959.9
title (primary) (eng)	On stability tests of spatially distributed systems
specification	page_count 8 s.
serial	ARLID cav_un_epca*0326462 ISBN 978-80-227-3081-5 title Proceedings of 17th International Conference on Process Control 2009 page_num 205-212 publisher place Bratislava name Slovak University of Technology year 2009 editor name1 Fikar name2 M. editor name1 Kvasnica name2 M.
title (cze)	Testy stability systémů s rozloženými parametry
keyword	Spatially distributed shift-invariant systems
keyword	multidimensional systems
keyword	multivariate polynomials
author (primary)	ARLID cav_un_auth*0213204 name1 Augusta name2 Petr institution UTIA-B full_dept Department of Control Theory fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
author	ARLID cav_un_auth*0021097 name1 Hurák name2 Z. country CZ
source	source_type textový dokument url http://www.kirp.chtf.stuba.sk/pc09/data/abstracts/080.html source_size 602 kB
cas_special	project project_id 1M0567 agency GA MŠk country CZ ARLID cav_un_auth*0202350 research CEZ:AV0Z10750506 abstract (eng) The paper describes tests of stability of spatially distributed shift-invariant systems discrete in both time and space. The systems are considered to be described by multivariate polynomial fractions, so, the tests based on manipulation with polynomials are taken into account. Method of root maps is depicted. Methods based on the Schur-Cohn criterion, originally formulated for systems with lumped parameters, are extended to multidimensional systems with support on a symmetric half-plane. Furthermore, the problem of stability of multivariate polynomial is formulated as a problem of stability of interval polynomial, which leads to use Kharitonov’s theorem. Numerical examples are included. abstract (cze) Článek popisuje testy stability systémů s rozloženými parametry, invariantních v čase i prostoru. Předpokládá se, že systém je popsaný podílem víceproměnných polynomů, a tak jsou brány v úvahu testy založené na manipulaci s polynomy. Vedle metody mapy kořenů jsou popsány i metody Schur-Cohnova kritéria, které, původně formulované pro systémy se soustředěnými parametry, jsou rozšířeny pro systémy s rozloženými parametry. Na konci článku je problém stability víceproměnného oboustranného polynomu formulován jako problém stability intervalového polynomu, který pak řeší Charitonovova věta. action ARLID cav_un_auth*0252007 name The 17th International Conference on Process Control 2009 place Štrbské Pleso dates 09.06.2009-12.06.2009 country SK reportyear 2010 RIV BC permalink http://hdl.handle.net/11104/0173490 arlyear 2009 mrcbU56 textový dokument 602 kB mrcbU63 cav_un_epca*0326462 Proceedings of 17th International Conference on Process Control 2009 978-80-227-3081-5 205 212 Bratislava Slovak University of Technology 2009 mrcbU67 Fikar M. 340 mrcbU67 Kvasnica M. 340