Invariance of Second-Order Modes of Linear Continuous-Time Systems under Typical Frequency Transformations

Authors:
Masayuki Kawamata;Yousuke Mizukami;Shunsuke Koshita
Affiliations:
-;-;-
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2007

Citing 3
Cited 1

Robust and optimal control

Robust and optimal control
Invariance of Second-Order Modes under Frequency Transformation in 2-D Separable Denominator Digital Filters

Multidimensional Systems and Signal Processing
Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control)

Approximation of Large-Scale Dynamical Systems (Advances in Design and Control) (Advances in Design and Control)

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

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.