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Strict Positive Realness of Descriptor Systems in State Space

Zeheb, Ezra and Shorten, Robert and Sajja, S. Shravan K. (2010) Strict Positive Realness of Descriptor Systems in State Space. International Journal of Control, 83 (9). pp. 1799-1809. ISSN 0020-7179

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Abstract

In this paper we give necessary and sufficient spectral conditions for various notions of strict positive realness for single input single output, impulse free Descriptor Systems. These conditions only require calculation of eigenvalues of a single matrix. A characterization of a KYP-like lemma for descriptor systems is also derived, and its implications for the stability of a class of switched descriptor systems are briefly discussed.

Item Type: Article
Additional Information: Pre-print version of article. The definitive version of this article is available at International Journal of Control Vol.38 No.9(2010) pp.1799-1809 DOI: 10.1080/00207179.2010.496094
Keywords: Descriptor systems; Kalman-Yacubovich- Popov lemma; strict positive realness; extended strict positive realness;
Subjects: Science & Engineering > Hamilton Institute
Item ID: 2247
Depositing User: Dr. Robert Shorten
Date Deposited: 10 Nov 2010 16:37
Journal or Publication Title: International Journal of Control
Publisher: Taylor & Francis
Refereed: No
URI:

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