Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems

X. Gao; K. L. Teo; G. R. Duan; X. Zhang

doi:10.1049/iet-cta.2010.0145

Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems

X. Gao^*
, K. L. Teo
, G. R. Duan
, X. Zhang

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Heilongjiang University
Curtin University

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

7 Scopus citations

Abstract

This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.

Original language	English
Pages (from-to)	713-720
Number of pages	8
Journal	IET Control Theory and Applications
Volume	5
Issue number	5
DOIs	https://doi.org/10.1049/iet-cta.2010.0145
State	Published - 17 Mar 2011

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title = "Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems",

abstract = "This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.",

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AU - Gao, X.

AU - Teo, K. L.

AU - Duan, G. R.

AU - Zhang, X.

PY - 2011/3/17

Y1 - 2011/3/17

N2 - This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.

AB - This study investigates the robust stability of discrete-time descriptor polytopic systems. Necessary and sufficient conditions for robust stability expressed as parameterised linear matrix inequalities (LMIs) are obtained. Furthermore, the parameterised LMIs are reduced to parameter-independent and finite-dimensional LMIs. Finally, two numerical examples are given, illustrating the effectiveness of the proposed method.

UR - https://www.scopus.com/pages/publications/79955549164

U2 - 10.1049/iet-cta.2010.0145

DO - 10.1049/iet-cta.2010.0145

M3 - 文章

AN - SCOPUS:79955549164

SN - 1751-8644

VL - 5

SP - 713

EP - 720

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

IS - 5

ER -

Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems

Abstract

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