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

Tadeusz Kaczorek


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) - [Bialystok University of Technology (PB)]
Tadeusz Kaczorek,,
- The Institute of Control and Industrial Electronics
- Politechnika Białostocka
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, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND, 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
Score (nominal)15
Score sourceconferenceIndex
ScoreMinisterial score = 15.0, 11-07-2020, BookChapterSeriesAndMatConfByConferenceseries
Ministerial score (2013-2016) = 15.0, 11-07-2020, BookChapterSeriesAndMatConfByConferenceseries
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