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Negative Imaginary Lemmas for Descriptor Systems.
- Source :
-
IEEE Transactions on Automatic Control . Feb2016, Vol. 61 Issue 2, p491-496. 6p. - Publication Year :
- 2016
-
Abstract
- This technical note studies the negative imaginary properties of descriptor linear systems based on state-space realizations. Under the assumption of a minimal realization, necessary and sufficient conditions are established to characterize the negative imaginary properties of descriptor systems in terms of linear matrix inequalities with equality constraints. In particular, a negative imaginary lemma, a strict negative imaginary lemma and a lossless negative imaginary lemma are developed. A multiple-input and multiple-output RLC circuit network is used as an illustrative example to validate the developed theory. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 61
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 112683406
- Full Text :
- https://doi.org/10.1109/TAC.2015.2444233