Existence of Metzler Matrices with Given Spectra of Positive Stable Linear Systems and Electrical Circuits

Tadeusz Kaczorek

Abstract

The problem of existence of Metzler matrices with given spectra is addressed for positive stable continuous-time linear systems and electrical circuits. Necessary and sufficient conditions for the existence of the Metzler matrices are established. It is shown that positive and stable electrical circuits have real eigenvalues. An open problem for positive electrical circuits is formulated. The considerations are illustrated by numerical examples of linear systems and positive electrical circuits.
Author Tadeusz Kaczorek (FoEE / ICIE) - [Politechnika Bialostocka]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
-
Pages141-154
Publication size in sheets0.65
Book Szewczyk R., Zieliński Cezary, Kaliczyńska M. (eds.): CHALLENGES IN AUTOMATION, ROBOTICS AND MEASUREMENT TECHNIQUES, Advances in Intelligent Systems and Computing, vol. 440, 2016, SPRINGER INTERNATIONAL PUBLISHING AG, ISBN 978-3-319-29357-8; 978-3-319-29356-1
Keywords in EnglishExistence; Metzler matrix; Positive; Stable; System; Electrical circuit
DOIDOI:10.1007/978-3-319-29357-813
LanguageEnglish
Score (nominal)15
ScoreMinisterial score = 15.0, 04-09-2019, BookChapterSeriesAndMatConfByConferenceseries
Ministerial score (2013-2016) = 15.0, 04-09-2019, BookChapterSeriesAndMatConfByConferenceseries
Citation count*
Cite
Share Share

Get link to the record


* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Back
Confirmation
Are you sure?