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Zeheb, Ezra, Shorten, Robert N. 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; |
| Academic Unit: | Faculty of Science and Engineering > Research Institutes > 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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/2247 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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