On stability tests of spatially distributed systems
Result description
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 polynomialsare 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.
Keywords
Spatially distributed shift-invariant systemsmultidimensional systemsmultivariate polynomials
The result's identifiers
Result code in IS VaVaI
Alternative codes found
RIV/67985556:_____/09:00326369
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On stability tests of spatially distributed systems
Original language description
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 polynomialsare 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
17th International Conference on Process Control´09
ISBN
978-80-227-3081-5
ISSN
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e-ISSN
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Number of pages
8
Pages from-to
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Publisher name
Slovak University of Technology
Place of publication
Bratislava
Event location
Štrrbské Pleso
Event date
Jun 9, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000257313100028
Basic information
Result type
D - Article in proceedings
CEP
BC - Theory and management systems
Year of implementation
2009