Standard

Restricted frequency inequality is equivalent to restricted dissipativity. / Iwasaki, Tetsuya; Hara, Shinji; Fradkov, Alexander L.

в: Proceedings of the IEEE Conference on Decision and Control, Том 1, TuA12.6, 2004, стр. 426-431.

Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование

Harvard

Iwasaki, T, Hara, S & Fradkov, AL 2004, 'Restricted frequency inequality is equivalent to restricted dissipativity', Proceedings of the IEEE Conference on Decision and Control, Том. 1, TuA12.6, стр. 426-431. https://doi.org/10.1109/cdc.2004.1428667

APA

Iwasaki, T., Hara, S., & Fradkov, A. L. (2004). Restricted frequency inequality is equivalent to restricted dissipativity. Proceedings of the IEEE Conference on Decision and Control, 1, 426-431. [TuA12.6]. https://doi.org/10.1109/cdc.2004.1428667

Vancouver

Iwasaki T, Hara S, Fradkov AL. Restricted frequency inequality is equivalent to restricted dissipativity. Proceedings of the IEEE Conference on Decision and Control. 2004;1:426-431. TuA12.6. https://doi.org/10.1109/cdc.2004.1428667

Author

Iwasaki, Tetsuya ; Hara, Shinji ; Fradkov, Alexander L. / Restricted frequency inequality is equivalent to restricted dissipativity. в: Proceedings of the IEEE Conference on Decision and Control. 2004 ; Том 1. стр. 426-431.

BibTeX

@article{1f283b2a3dbf430b98ea7c76a8ad9a53,
title = "Restricted frequency inequality is equivalent to restricted dissipativity",
abstract = "A variety of powerful tools and results in systems and control theory rely on classical Kalman-Yakubovich-Popov-Zames results establishing equivalence between special frequency domain inequalities (FDIs), linear matrix inequalities (LMIs) and time domain inequalities (TDIs). Recent developments have addressed FDIs within (semi)flnite frequency ranges to increase flexibility in the system analysis and synthesis. In this paper it is shown that validity of a general FDI within a restricted frequency range is equivalent to validity of the corresponding TDI under rate limitations specified by a matrix-valued integral quadratic constraint. The latter property of a system is termed {"}restricted dissipativity{"}. Its special cases are {"}restricted passivity{"} and {"}restricted finite gain property{"}. The equivalence between restricted FDI and restricted dissipativity is established for both continuous-time and discrete-time settings. The paper together with the previous developments extends Kalman-Yakubovich-Popov-Zames FDI-LMI-passivity results to FDIs specified within restricted frequency ranges.",
author = "Tetsuya Iwasaki and Shinji Hara and Fradkov, {Alexander L.}",
year = "2004",
doi = "10.1109/cdc.2004.1428667",
language = "English",
volume = "1",
pages = "426--431",
journal = "Proceedings of the IEEE Conference on Decision and Control",
issn = "0191-2216",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
note = "2004 43rd IEEE Conference on Decision and Control (CDC) ; Conference date: 14-12-2004 Through 17-12-2004",

}

RIS

TY - JOUR

T1 - Restricted frequency inequality is equivalent to restricted dissipativity

AU - Iwasaki, Tetsuya

AU - Hara, Shinji

AU - Fradkov, Alexander L.

PY - 2004

Y1 - 2004

N2 - A variety of powerful tools and results in systems and control theory rely on classical Kalman-Yakubovich-Popov-Zames results establishing equivalence between special frequency domain inequalities (FDIs), linear matrix inequalities (LMIs) and time domain inequalities (TDIs). Recent developments have addressed FDIs within (semi)flnite frequency ranges to increase flexibility in the system analysis and synthesis. In this paper it is shown that validity of a general FDI within a restricted frequency range is equivalent to validity of the corresponding TDI under rate limitations specified by a matrix-valued integral quadratic constraint. The latter property of a system is termed "restricted dissipativity". Its special cases are "restricted passivity" and "restricted finite gain property". The equivalence between restricted FDI and restricted dissipativity is established for both continuous-time and discrete-time settings. The paper together with the previous developments extends Kalman-Yakubovich-Popov-Zames FDI-LMI-passivity results to FDIs specified within restricted frequency ranges.

AB - A variety of powerful tools and results in systems and control theory rely on classical Kalman-Yakubovich-Popov-Zames results establishing equivalence between special frequency domain inequalities (FDIs), linear matrix inequalities (LMIs) and time domain inequalities (TDIs). Recent developments have addressed FDIs within (semi)flnite frequency ranges to increase flexibility in the system analysis and synthesis. In this paper it is shown that validity of a general FDI within a restricted frequency range is equivalent to validity of the corresponding TDI under rate limitations specified by a matrix-valued integral quadratic constraint. The latter property of a system is termed "restricted dissipativity". Its special cases are "restricted passivity" and "restricted finite gain property". The equivalence between restricted FDI and restricted dissipativity is established for both continuous-time and discrete-time settings. The paper together with the previous developments extends Kalman-Yakubovich-Popov-Zames FDI-LMI-passivity results to FDIs specified within restricted frequency ranges.

UR - http://www.scopus.com/inward/record.url?scp=14344251182&partnerID=8YFLogxK

U2 - 10.1109/cdc.2004.1428667

DO - 10.1109/cdc.2004.1428667

M3 - Conference article

AN - SCOPUS:14344251182

VL - 1

SP - 426

EP - 431

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

SN - 0191-2216

M1 - TuA12.6

T2 - 2004 43rd IEEE Conference on Decision and Control (CDC)

Y2 - 14 December 2004 through 17 December 2004

ER -

ID: 88354079