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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 изданиях › статья › Рецензирование
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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