Robust Root-Clustering of a Matrix in Intersections or Unions of Regions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F04%3A00101427" target="_blank" >RIV/68407700:21230/04:00101427 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/S0363012903432365" target="_blank" >http://dx.doi.org/10.1137/S0363012903432365</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/S0363012903432365" target="_blank" >10.1137/S0363012903432365</a>
Alternative languages
Result language
angličtina
Original language name
Robust Root-Clustering of a Matrix in Intersections or Unions of Regions
Original language description
This paper considers robust stability analysis for a matrix affected by unstructured complex uncertainty. A method is proposed to compute a bound on the amount of uncertainty ensuring robust root-clustering in a combination (intersection and/or union) ofseveral possibly nonsymmetric half planes, discs, and outsides of discs. In some cases to be detailed, this bound is not conservative. The conditions are expressed in terms of linear matrix inequalities (LMIs) and derived through Lyapunov's second method. As a distinctive feature of the approach, the Lyapunov matrices proving robust root-clustering (one per subregion) are not necessarily positive definite but have prescribed inertias depending on the number of roots in the corresponding subregions.
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
<a href="/en/project/ME%20698" target="_blank" >ME 698: Computer analysis and suggestion of discreet gigital filters in telecomunication by means of modern polynominal methods.</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2004
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
43
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
16
Pages from-to
1078-1093
UT code for WoS article
000225642700016
EID of the result in the Scopus database
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