On the invariance of the second-order modes of continuous-time systems under general frequency transformation [analog filters]

Author

Kawamata, Masayuki

Author_Institution

Dept. of Electron. Eng., Tohoku Univ., Sendai, Japan

Volume

1

fYear

2003

fDate

25-28 May 2003

Abstract

This paper proves the invariance of the second-order modes of continuous-time systems, such as analog filters, under general frequency transformation, that is, under the reactance function. The invariance is proved by obtaining the state-space representation of the transformed system, and its controllability/observability grammians in terms of those of the original system and the reactance system. This invariance property is parallel to that of discrete-time systems such as digital filters proved by Mullis and Roberts.

Keywords

continuous time filters; controllability; electric reactance; invariance; observability; state-space methods; transfer functions; analog filters; continuous-time system second-order modes; controllability grammians; general frequency transformation; invariance; observability grammians; reactance function; reactance system; state-space representation; transfer function; Control systems; Controllability; Cutoff frequency; Digital filters; Eigenvalues and eigenfunctions; Frequency domain analysis; Laplace equations; Observability; Prototypes; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on

Print_ISBN

0-7803-7761-3

Type

conf

DOI

10.1109/ISCAS.2003.1205611

Filename

1205611