Analysis of Second-Order Modes of Linear Discrete-Time Systems under Bounded-Real Transformations(Systems and Control)
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概要
- 論文の詳細を見る
This paper discusses the behavior of the second-order modes (Hankel singular values) of linear discrete-time systems under bounded-real transformations, where the transformations are given by arbitrary transfer functions with magnitude bounded by unity. Our main result reveals that the values of the second-order modes are decreased under any of the above-mentioned transformations. This result is the generalization of the theory of Mullis and Roberts, who proved that the second-order modes are invariant under any allpass transformation, i.e. any lossless bounded-real transformation. We derive our main result by describing the controllability/observability Gramians of transformed systems with the help of the discrete-time bounded-real lemma.
- 社団法人電子情報通信学会の論文
- 2007-11-01
著者
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Abe Masahide
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
-
Kawamata Masayuki
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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KOSHITA Shunsuke
Department of Electronic Engineering, Graduate School of Engineering, Tohoku University
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Koshita Shunsuke
Department Of Electronic Engineering Graduate School Of Engineering Tohoku University
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