D-stability analysis for discrete uncertain time-delay systems

Feng Hsiag Hsiao; Jiing Dong Hwang; Shing Pai Pan

doi:10.1016/S0893-9659(98)00020-2

D-stability analysis for discrete uncertain time-delay systems

Feng Hsiag Hsiao^*, Jiing Dong Hwang, Shing Pai Pan

^*Corresponding author for this work

Department of Electrical Engineering

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

20 Scopus citations

Abstract

Two cases of the robust D-stability criterion are derived for discrete uncertain systems with multiple time delays. One is a direct test and the other is a boundary test. These cases provide the sufficient conditions under which all solutions of the characteristic equation remain inside the specific disk D(α, τ) in the presence of parametric uncertainties.

Original language	English
Pages (from-to)	109-114
Number of pages	6
Journal	Applied Mathematics Letters
Volume	11
Issue number	2
DOIs	https://doi.org/10.1016/S0893-9659(98)00020-2
State	Published - 03 1998

Keywords

D-pole placement
D-stability
Multiple time delays

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10.1016/S0893-9659(98)00020-2

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title = "D-stability analysis for discrete uncertain time-delay systems",

abstract = "Two cases of the robust D-stability criterion are derived for discrete uncertain systems with multiple time delays. One is a direct test and the other is a boundary test. These cases provide the sufficient conditions under which all solutions of the characteristic equation remain inside the specific disk D(α, τ) in the presence of parametric uncertainties.",

keywords = "D-pole placement, D-stability, Multiple time delays",

author = "Hsiao, {Feng Hsiag} and Hwang, {Jiing Dong} and Pan, {Shing Pai}",

year = "1998",

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AU - Hsiao, Feng Hsiag

AU - Hwang, Jiing Dong

AU - Pan, Shing Pai

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N2 - Two cases of the robust D-stability criterion are derived for discrete uncertain systems with multiple time delays. One is a direct test and the other is a boundary test. These cases provide the sufficient conditions under which all solutions of the characteristic equation remain inside the specific disk D(α, τ) in the presence of parametric uncertainties.

AB - Two cases of the robust D-stability criterion are derived for discrete uncertain systems with multiple time delays. One is a direct test and the other is a boundary test. These cases provide the sufficient conditions under which all solutions of the characteristic equation remain inside the specific disk D(α, τ) in the presence of parametric uncertainties.

KW - D-pole placement

KW - D-stability

KW - Multiple time delays

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U2 - 10.1016/S0893-9659(98)00020-2

DO - 10.1016/S0893-9659(98)00020-2

M3 - 文章

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VL - 11

SP - 109

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

D-stability analysis for discrete uncertain time-delay systems

Abstract

Keywords

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