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ISCAS
2007
IEEE

Analysis of Second-Order Modes of Linear Continuous-Time Systems under Positive-Real Transformations

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Analysis of Second-Order Modes of Linear Continuous-Time Systems under Positive-Real Transformations
Abstract— This paper discusses the behavior of the secondorder modes of linear continuous-time systems under variable transformations with positive-real functions. We first discuss the case of lossless positive-real transformations, and show that the second-order modes are invariant under any lossless positive-real transformation. We next consider the case of general positive-real transformations, and reveal that the values of the second-order modes are decreased under any general positive-real transformation. We achieve the derivation of these results by describing the controllability/observability Gramians of transformed systems, with the help of the lossless positive-real lemma, the positivereal lemma, and state-space formulation of transformed systems.
Shunsuke Koshita, Yousuke Mizukami, Taketo Konno,
Added 04 Jun 2010
Updated 04 Jun 2010
Type Conference
Year 2007
Where ISCAS
Authors Shunsuke Koshita, Yousuke Mizukami, Taketo Konno, Masahide Abe, Masayuki Kawamata
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