Invariance of Second-Order Modes of Linear Continuous-Time Systems under Typical Frequency 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 continuous-time systems under typical frequency transformations, such as lowpass-lowpass, lowpass-highpass, lowpass-bandpass, and lowpass-bandstop transformations. Our main result establishes the fact that the second-order modes are invariant under any of these typical frequency transformations. This means that any transformed system that is generated from a prototype system has the same second-order modes as those of the prototype system. We achieve the derivation of this result by describing the state-space equations and the controllability/observability Gramians of transformed systems.
- 社団法人電子情報通信学会の論文
- 2007-07-01
著者
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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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MIZUKAMI Yousuke
Department of Electronic Engineering, 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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Mizukami Yousuke
School Of Science And Engineering Tokyo Institute Of Technology
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