Naoki Matsumoto, Nozumu Hamada, Shin ichi Takahashi

Research output: Contribution to journalArticlepeer-review


The system-theoretic representation of imittances of passive networks such as positive real functions, positive matrices, lossless positive real matrices, LC, RC and RL impedance functions was reported by R. Kalman, V. Yakubovich, B. Anderson, etc. This paper presents the system-theoretic representation of the RC and RL impedance matrices, as well as RC 3-terminal network transfer functions and all-pass transfer functions. The coefficient matrices of state equations of new transfer functions which are obtained from another transfer function via frequency transformation of s to 1/s and s plus 1/s are derived. Furthermore, the relation among matrix coefficients of non-minimal state space equations which describes constant-immittance networks are obtained. As for the RC and RL impedance matrices, a criterion for determining whether a given real rational matrix is RC or RL impedance matrix is given.

Original languageEnglish
Pages (from-to)19-26
Number of pages8
JournalElectron Commun Jpn
Issue number8
Publication statusPublished - 1 Jan 1977


Dive into the research topics of 'SYSTEM THEORETIC REPRESENTATIONS FOR LINEAR NETWORKS.'. Together they form a unique fingerprint.

Cite this