An algebraic approach for delay-independent and delay-dependent stability of linear time-delay systems

Gu, N., Yu, W., Xiang, Y. and Tan, M. 2005, An algebraic approach for delay-independent and delay-dependent stability of linear time-delay systems, in IEEE 2005 : Proceedings of the Networking, Sensing and Control Conference, Institute of Electrical and Electronics Engineers, Inc., Piscataway, N.J., pp. 185-190.

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Title An algebraic approach for delay-independent and delay-dependent stability of linear time-delay systems
Author(s) Gu, N.
Yu, W.
Xiang, Y.
Tan, M.
Conference name Institute of Electrical and Electronics Engineers Networking, Sensing and Control Conference (2005 : Tucson, Ariz.)
Conference location Tucson, Ariz.
Conference dates 19-22 Mar. 2005
Title of proceedings IEEE 2005 : Proceedings of the Networking, Sensing and Control Conference
Editor(s) Wang, F-Y.
Publication date 2005
Start page 185
End page 190
Publisher Institute of Electrical and Electronics Engineers, Inc.
Place of publication Piscataway, N.J.
Summary This paper addresses the problem of asymptotic stability of a linear system with many delay units. A novel algebraic test is proposed for the delay-independent stability of the system, based on the root distribution of the system's characteristic equation. If the system is only stable dependent of delay, the whole stable regions of the system can be perfectly obtained. Two algorithms are derived to examine the delay-independent stability, and to compute the whole stable regions if the system is of delay-dependent stability. These algorithms are computationally efficient and applicable to both certain and uncertain systems. Some illustrative examples demonstrate the validity of the approach.
ISBN 0780388127
Language eng
Field of Research 091302 Automation and Control Engineering
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category E2 Full written paper - non-refereed / Abstract reviewed
Copyright notice ©2005, IEEE
Persistent URL http://hdl.handle.net/10536/DRO/DU:30014422

Document type: Conference Paper
Collection: School of Engineering
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