An improved stabilization method for linear time-delay systems

Emilia Fridman; Uri Shaked

doi:10.1109/TAC.2002.804462

An improved stabilization method for linear time-delay systems

Emilia Fridman^*, Uri Shaked

^*Corresponding author for this work

School of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

845 Scopus citations

Abstract

In this note, we combine a new approach for linear time-delay systems based on a descriptor representation with a recent result on bounding of cross products of vectors. A delay-dependent criterion for determining the stability of systems with time-varying delays is obtained. This criterion is used to derive an efficient stabilizing state-feedback design method for systems with parameter uncertainty, of either the polytopic or the norm-bounded types.

Original language	English
Pages (from-to)	1931-1937
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	47
Issue number	11
DOIs	https://doi.org/10.1109/TAC.2002.804462
State	Published - Nov 2002

Keywords

Delay-dependent stability
Linear matrix inequality (LMI)
Stabilization
Time-delay systems
Time-varying delay

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10.1109/TAC.2002.804462

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keywords = "Delay-dependent stability, Linear matrix inequality (LMI), Stabilization, Time-delay systems, Time-varying delay",

author = "Emilia Fridman and Uri Shaked",

note = "Funding Information: Manuscript received October 15, 2001; revised February 8, 2002 and June 28, 2002. Recommended by Associate Editor L. Pandolfi. This work was supported by the C&M Maus Chair at Tel Aviv University. The authors are with the Department of Electrical Engineering-Systems, Tel-Aviv University, Tel-Aviv 69978, Israel. Digital Object Identifier 10.1109/TAC.2002.804462",

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An improved stabilization method for linear time-delay systems

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Keywords

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