New bounded real lemma for discrete-time singular systems

Gaomin Zhang; Yuanqing Xia; Peng Shi

doi:10.1016/j.automatica.2007.07.017

New bounded real lemma for discrete-time singular systems

Gaomin Zhang, Yuanqing Xia^*, Peng Shi

^*Corresponding author for this work

School of Automation

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

143 Citations (Scopus)

Abstract

In this paper, the problem of bounded real lemma for discrete-time singular system with strict matrix inequalities is investigated. It is proved that the bounded real lemma for discrete singular system can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.

Original language	English
Pages (from-to)	886-890
Number of pages	5
Journal	Automatica
Volume	44
Issue number	3
DOIs	https://doi.org/10.1016/j.automatica.2007.07.017
Publication status	Published - Mar 2008

Keywords

Discrete-time singular systems
H control
Matrix inequalities

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10.1016/j.automatica.2007.07.017

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Zhang, G., Xia, Y., & Shi, P. (2008). New bounded real lemma for discrete-time singular systems. Automatica, 44(3), 886-890. https://doi.org/10.1016/j.automatica.2007.07.017

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AB - In this paper, the problem of bounded real lemma for discrete-time singular system with strict matrix inequalities is investigated. It is proved that the bounded real lemma for discrete singular system can be described by a strict matrix inequality. The results lead to more tractable and reliable computation when applying them to design control systems.

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New bounded real lemma for discrete-time singular systems

Abstract

Keywords

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