Frequency sweeping tests for asymptotic stability: a model transformation for multiple delays

Silviu Iulian Niculescu; Jie Chen

doi:10.1109/CDC.1999.833281

Frequency sweeping tests for asymptotic stability: a model transformation for multiple delays

Silviu Iulian Niculescu
, Jie Chen

Research output: Journal Publications and Reviews › RGC 22 - Publication in policy or professional journal

23 Citations (Scopus)

Abstract

This paper focuses on stability properties of linear delay-differential systems involving multiple discrete delays. Sufficient conditions for characterizing bounded and unbounded stability regions in the delays-parameter space are derived. The proposed results are expressed in terms of structured singular values and consist of some frequency sweeping tests, which improve (or recover) previous delay-dependent (delay-independent or mixed) criteria from the literature. Comments on the conservatism of the method are also considered. Note that this paper can be seen as completing (into a delay-dependent framework) the contribution of Chen et al.

Original language	English
Pages (from-to)	4678-4683
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
DOIs	https://doi.org/10.1109/CDC.1999.833281
Publication status	Published - 1999
Externally published	Yes
Event	The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: 7 Dec 1999 → 10 Dec 1999

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title = "Frequency sweeping tests for asymptotic stability: a model transformation for multiple delays",

abstract = "This paper focuses on stability properties of linear delay-differential systems involving multiple discrete delays. Sufficient conditions for characterizing bounded and unbounded stability regions in the delays-parameter space are derived. The proposed results are expressed in terms of structured singular values and consist of some frequency sweeping tests, which improve (or recover) previous delay-dependent (delay-independent or mixed) criteria from the literature. Comments on the conservatism of the method are also considered. Note that this paper can be seen as completing (into a delay-dependent framework) the contribution of Chen et al.",

author = "Niculescu, \{Silviu Iulian\} and Jie Chen",

year = "1999",

doi = "10.1109/CDC.1999.833281",

language = "English",

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pages = "4678--4683",

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

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note = "The 38th IEEE Conference on Decision and Control (CDC) ; Conference date: 07-12-1999 Through 10-12-1999",

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TY - JOUR

T1 - Frequency sweeping tests for asymptotic stability

T2 - The 38th IEEE Conference on Decision and Control (CDC)

AU - Niculescu, Silviu Iulian

AU - Chen, Jie

PY - 1999

Y1 - 1999

N2 - This paper focuses on stability properties of linear delay-differential systems involving multiple discrete delays. Sufficient conditions for characterizing bounded and unbounded stability regions in the delays-parameter space are derived. The proposed results are expressed in terms of structured singular values and consist of some frequency sweeping tests, which improve (or recover) previous delay-dependent (delay-independent or mixed) criteria from the literature. Comments on the conservatism of the method are also considered. Note that this paper can be seen as completing (into a delay-dependent framework) the contribution of Chen et al.

AB - This paper focuses on stability properties of linear delay-differential systems involving multiple discrete delays. Sufficient conditions for characterizing bounded and unbounded stability regions in the delays-parameter space are derived. The proposed results are expressed in terms of structured singular values and consist of some frequency sweeping tests, which improve (or recover) previous delay-dependent (delay-independent or mixed) criteria from the literature. Comments on the conservatism of the method are also considered. Note that this paper can be seen as completing (into a delay-dependent framework) the contribution of Chen et al.

UR - https://www.scopus.com/pages/publications/0033329333

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0033329333&origin=recordpage

U2 - 10.1109/CDC.1999.833281

DO - 10.1109/CDC.1999.833281

M3 - RGC 22 - Publication in policy or professional journal

SN - 0191-2216

VL - 5

SP - 4678

EP - 4683

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

Y2 - 7 December 1999 through 10 December 1999

ER -

Frequency sweeping tests for asymptotic stability: a model transformation for multiple delays

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