Robust stability of quasipolynomials with commensurate delays

Jie Chen; Silviu-Iulian Niculescu

doi:10.1109/CDC.2004.1428903

Robust stability of quasipolynomials with commensurate delays

Jie Chen^*, Silviu-Iulian Niculescu

^*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

1 Citation (Scopus)

Abstract

In this paper we study the robust stability of uncertain quasipolynomials, whose coefficients are only known to be confined within certain prescribed sets. We consider such quasipolynomials with commensurate delays. We derive a sufficient condition for the uncertain quasipolynomials to be robustly stable independent of delay, when they are confined to the families of interval, diamond, and spherical quasipolynomials. The condition requires checking the robust stability of one polynomial, and computing additionally a frequency-dependent matrix. ©2004 IEEE.

Original language	English
Title of host publication	2004 43rd IEEE Conference on Decision and Control (CDC)
Publisher	IEEE
Pages	2887-2892
Volume	3
ISBN (Print)	0-7803-8682-5
DOIs	https://doi.org/10.1109/CDC.2004.1428903
Publication status	Published - Dec 2004
Externally published	Yes
Event	43rd IEEE Conference on Decision and Control, CDC 2004 - Nassau, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0191-2216

Conference

Conference	43rd IEEE Conference on Decision and Control, CDC 2004
Abbreviated title	CDC 2004
Place	Bahamas
City	Nassau
Period	14/12/04 → 17/12/04

Research Keywords

Commensurate delays
Quasipolynomials
Robust stability
Stable independent of delay

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10.1109/CDC.2004.1428903

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@inproceedings{2269d0e4d43d41e1969b97f4142d0eab,

title = "Robust stability of quasipolynomials with commensurate delays",

abstract = "In this paper we study the robust stability of uncertain quasipolynomials, whose coefficients are only known to be confined within certain prescribed sets. We consider such quasipolynomials with commensurate delays. We derive a sufficient condition for the uncertain quasipolynomials to be robustly stable independent of delay, when they are confined to the families of interval, diamond, and spherical quasipolynomials. The condition requires checking the robust stability of one polynomial, and computing additionally a frequency-dependent matrix. {\textcopyright}2004 IEEE.",

keywords = "Commensurate delays, Quasipolynomials, Robust stability, Stable independent of delay",

author = "Jie Chen and Silviu-Iulian Niculescu",

year = "2004",

month = dec,

doi = "10.1109/CDC.2004.1428903",

language = "English",

isbn = "0-7803-8682-5",

volume = "3",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "IEEE",

pages = "2887--2892",

booktitle = "2004 43rd IEEE Conference on Decision and Control (CDC)",

address = "United States",

note = "43rd IEEE Conference on Decision and Control, CDC 2004, CDC 2004 ; Conference date: 14-12-2004 Through 17-12-2004",

}

Robust stability of quasipolynomials with commensurate delays. / Chen, Jie; Niculescu, Silviu-Iulian.
2004 43rd IEEE Conference on Decision and Control (CDC). Vol. 3 IEEE, 2004. p. 2887-2892 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Robust stability of quasipolynomials with commensurate delays

AU - Chen, Jie

AU - Niculescu, Silviu-Iulian

PY - 2004/12

Y1 - 2004/12

N2 - In this paper we study the robust stability of uncertain quasipolynomials, whose coefficients are only known to be confined within certain prescribed sets. We consider such quasipolynomials with commensurate delays. We derive a sufficient condition for the uncertain quasipolynomials to be robustly stable independent of delay, when they are confined to the families of interval, diamond, and spherical quasipolynomials. The condition requires checking the robust stability of one polynomial, and computing additionally a frequency-dependent matrix. ©2004 IEEE.

AB - In this paper we study the robust stability of uncertain quasipolynomials, whose coefficients are only known to be confined within certain prescribed sets. We consider such quasipolynomials with commensurate delays. We derive a sufficient condition for the uncertain quasipolynomials to be robustly stable independent of delay, when they are confined to the families of interval, diamond, and spherical quasipolynomials. The condition requires checking the robust stability of one polynomial, and computing additionally a frequency-dependent matrix. ©2004 IEEE.

KW - Commensurate delays

KW - Quasipolynomials

KW - Robust stability

KW - Stable independent of delay

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U2 - 10.1109/CDC.2004.1428903

DO - 10.1109/CDC.2004.1428903

M3 - RGC 32 - Refereed conference paper (with host publication)

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VL - 3

T3 - Proceedings of the IEEE Conference on Decision and Control

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EP - 2892

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

PB - IEEE

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

Y2 - 14 December 2004 through 17 December 2004

ER -

Robust stability of quasipolynomials with commensurate delays

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