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

Gao, X.; Teo, Kok Lay; Duan, G.; Zhang, X.

doi:10.1049/iet-cta.2010.0145

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Authors

Gao, X.

Teo, Kok Lay

Duan, G.

Zhang, X.

Date

2011

Type

Journal Article

Metadata

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Citation

Gao, X. and Teo, K.L. and Duan, G.-R. and Zhang, X. 2011. Necessary and sufficient condition for robust stability of discrete-time descriptor polytopic systems. IET Control Theory & Applications. 5 (5): pp. 713-720.

Source Title

IET Control Theory & Applications

DOI

10.1049/iet-cta.2010.0145

ISSN

1751-8644

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/15033

Collection

Curtin Research Publications

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.