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TAC
2016

Negative Imaginary Lemmas for Descriptor Systems

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Negative Imaginary Lemmas for Descriptor Systems
—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.
Junlin Xiong, Alexander Lanzon, Ian R. Petersen
Added 10 Apr 2016
Updated 10 Apr 2016
Type Journal
Year 2016
Where TAC
Authors Junlin Xiong, Alexander Lanzon, Ian R. Petersen
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