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Time domain interpretations of frequency domain inequalities on (semi)finite ranges. / Iwasaki, Tetsuya; Fradkov, Alexander L.; Hara, Shinij.

в: Systems and Control Letters, Том 54, № 7, 07.2005, стр. 681-691.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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Iwasaki, T, Fradkov, AL & Hara, S 2005, 'Time domain interpretations of frequency domain inequalities on (semi)finite ranges', Systems and Control Letters, Том. 54, № 7, стр. 681-691. https://doi.org/10.1016/j.sysconle.2004.11.007

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Author

Iwasaki, Tetsuya ; Fradkov, Alexander L. ; Hara, Shinij. / Time domain interpretations of frequency domain inequalities on (semi)finite ranges. в: Systems and Control Letters. 2005 ; Том 54, № 7. стр. 681-691.

BibTeX

@article{87e6e4e657e1429885902168f23da2ff,
title = "Time domain interpretations of frequency domain inequalities on (semi)finite ranges",
abstract = "Many of the significant results in systems and control literature rely on characterizations of system properties in terms of frequency domain inequalities (FDIs) and/or time domain inequalities (TDIs). Classical FDIs, required to hold on the entire frequency range, have been interpreted by equivalent TDIs so that satisfaction of one implies that of the other. Recent developments have addressed FDIs within (semi)finite frequency ranges to increase flexibility in the system analysis and synthesis. This paper provides necessary and sufficient conditions for a general FDI to hold within a restricted frequency range in terms of TDIs to be satisfied by every inputs within a certain class specified by a matrix-valued integral quadratic constraint.",
keywords = "Frequency domain inequality, KYP lemma, Linear matrix inequality, S-procedure",
author = "Tetsuya Iwasaki and Fradkov, {Alexander L.} and Shinij Hara",
year = "2005",
month = jul,
doi = "10.1016/j.sysconle.2004.11.007",
language = "English",
volume = "54",
pages = "681--691",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "7",

}

RIS

TY - JOUR

T1 - Time domain interpretations of frequency domain inequalities on (semi)finite ranges

AU - Iwasaki, Tetsuya

AU - Fradkov, Alexander L.

AU - Hara, Shinij

PY - 2005/7

Y1 - 2005/7

N2 - Many of the significant results in systems and control literature rely on characterizations of system properties in terms of frequency domain inequalities (FDIs) and/or time domain inequalities (TDIs). Classical FDIs, required to hold on the entire frequency range, have been interpreted by equivalent TDIs so that satisfaction of one implies that of the other. Recent developments have addressed FDIs within (semi)finite frequency ranges to increase flexibility in the system analysis and synthesis. This paper provides necessary and sufficient conditions for a general FDI to hold within a restricted frequency range in terms of TDIs to be satisfied by every inputs within a certain class specified by a matrix-valued integral quadratic constraint.

AB - Many of the significant results in systems and control literature rely on characterizations of system properties in terms of frequency domain inequalities (FDIs) and/or time domain inequalities (TDIs). Classical FDIs, required to hold on the entire frequency range, have been interpreted by equivalent TDIs so that satisfaction of one implies that of the other. Recent developments have addressed FDIs within (semi)finite frequency ranges to increase flexibility in the system analysis and synthesis. This paper provides necessary and sufficient conditions for a general FDI to hold within a restricted frequency range in terms of TDIs to be satisfied by every inputs within a certain class specified by a matrix-valued integral quadratic constraint.

KW - Frequency domain inequality

KW - KYP lemma

KW - Linear matrix inequality

KW - S-procedure

UR - http://www.scopus.com/inward/record.url?scp=18444403141&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2004.11.007

DO - 10.1016/j.sysconle.2004.11.007

M3 - Article

AN - SCOPUS:18444403141

VL - 54

SP - 681

EP - 691

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

IS - 7

ER -

ID: 88352210