Positive trigonometric polynomials for strong stability of difference equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F12%3A00194285" target="_blank" >RIV/68407700:21220/12:00194285 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21230/12:00194285
Result on the web
<a href="http://dx.doi.org/10.1016/j.automatica.2012.06.021" target="_blank" >http://dx.doi.org/10.1016/j.automatica.2012.06.021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.automatica.2012.06.021" target="_blank" >10.1016/j.automatica.2012.06.021</a>

Result language
angličtina
Original language name
Positive trigonometric polynomials for strong stability of difference equations
Original language description
We follow a polynomial approach to analyse strong stability of continuous-time linear difference equations with several delays. Upon application of the Hermite stability criterion on the discretetime homogeneous characteristic polynomial, assessing strong stability amounts to deciding positive definiteness of a multivariate trigonometric polynomial matrix. This latter problem is addressed with a converging hierarchy of linear matrix inequalities (LMIs). Numerical experiments indicate that certificates of strong stability can be obtained at a reasonable computational cost for state dimension and number of delays not exceeding 4 or 5.
Czech name
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Czech description
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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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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)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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