Strict positive realness for linear time-invariant systems with time-delays

Guoping Lu; L. F. Yeung; D. W C Ho; Yufan Zheng

doi:10.1109/CDC.2001.914727

Strict positive realness for linear time-invariant systems with time-delays

Guoping Lu
, L. F. Yeung
, D. W C Ho
, Yufan Zheng

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

8 Citations (Scopus)

Abstract

Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed in this paper. We present sufficient conditions via linear matrix inequalities (LMIs) such that linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Place of Publication	Australia
Publisher	IEEE
Pages	5004-5009
Volume	5
ISBN (Print)	0-7803-6638-7
DOIs	https://doi.org/10.1109/CDC.2001.914727
Publication status	Published - Dec 2000
Event	39th IEEE Confernce on Decision and Control (2000 IEEE CDC) - Sydney Convention and Exhibition Centre, Sydney, Australia Duration: 12 Dec 2000 → 15 Dec 2000

Conference

Conference	39th IEEE Confernce on Decision and Control (2000 IEEE CDC)
Place	Australia
City	Sydney
Period	12/12/00 → 15/12/00

Research Keywords

Asymptotic stability
Linear matrix inequality
Linear system
Strictly positive real
Time-delay

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10.1109/CDC.2001.914727

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title = "Strict positive realness for linear time-invariant systems with time-delays",

abstract = "Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed in this paper. We present sufficient conditions via linear matrix inequalities (LMIs) such that linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR.",

keywords = "Asymptotic stability, Linear matrix inequality, Linear system, Strictly positive real, Time-delay",

author = "Guoping Lu and Yeung, \{L. F.\} and Ho, \{D. W C\} and Yufan Zheng",

year = "2000",

month = dec,

doi = "10.1109/CDC.2001.914727",

language = "English",

isbn = "0-7803-6638-7",

volume = "5",

pages = "5004--5009",

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

publisher = "IEEE",

address = "United States",

note = "39th IEEE Confernce on Decision and Control (2000 IEEE CDC) ; Conference date: 12-12-2000 Through 15-12-2000",

}

Strict positive realness for linear time-invariant systems with time-delays. / Lu, Guoping; Yeung, L. F.; Ho, D. W C et al.
Proceedings of the IEEE Conference on Decision and Control. Vol. 5 Australia: IEEE, 2000. p. 5004-5009.

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

TY - GEN

T1 - Strict positive realness for linear time-invariant systems with time-delays

AU - Lu, Guoping

AU - Yeung, L. F.

AU - Ho, D. W C

AU - Zheng, Yufan

PY - 2000/12

Y1 - 2000/12

N2 - Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed in this paper. We present sufficient conditions via linear matrix inequalities (LMIs) such that linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR.

AB - Strict positive realness (SPR) of linear time-invariant systems with multiple time-delays is discussed in this paper. We present sufficient conditions via linear matrix inequalities (LMIs) such that linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control system. Furthermore, we give an LMI approach to the optimization problem of computation of the maximal allowable bound on the time-delays such that the closed-loop system is α-SPR.

KW - Asymptotic stability

KW - Linear matrix inequality

KW - Linear system

KW - Strictly positive real

KW - Time-delay

UR - https://www.scopus.com/pages/publications/0034443971

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0034443971&origin=recordpage

U2 - 10.1109/CDC.2001.914727

DO - 10.1109/CDC.2001.914727

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

SN - 0-7803-6638-7

VL - 5

SP - 5004

EP - 5009

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

CY - Australia

T2 - 39th IEEE Confernce on Decision and Control (2000 IEEE CDC)

Y2 - 12 December 2000 through 15 December 2000

ER -

Strict positive realness for linear time-invariant systems with time-delays

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Research Keywords

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