STRONG STABILITY OF NEUTRAL EQUATIONS WITH AN ARBITRARY DELAY DEPENDENCY STRUCTURE
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F09%3A00156393" target="_blank" >RIV/68407700:21230/09:00156393 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21220/09:00156393
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
STRONG STABILITY OF NEUTRAL EQUATIONS WITH AN ARBITRARY DELAY DEPENDENCY STRUCTURE
Original language description
The stability theory for linear neutral equations subjected to delay perturbations is addressed. It is assumed that the delays cannot necessarily vary independently of each other, but depend on a possibly smaller number of independent parameters. As a main result, necessary and sufficient conditions for strong stability are derived along with bounds on the spectrum, which take into account the precise dependency structure of the delays. In the derivation of the stability theory, results from realizationtheory and determinantal representations of multivariable polynomials play an important role. The observations and results obtained in the paper are first illustrated and validated with a numerical example. Next, the effects of small feedback delays onthe stability of a boundary controlled hyperbolic partial differential equation and of a control system involving state derivative feedback are analyzed.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Control and Optimization
ISSN
0363-0129
e-ISSN
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Volume of the periodical
48
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
24
Pages from-to
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UT code for WoS article
000265778500016
EID of the result in the Scopus database
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