System matrices giving positive-real transfer-function matrices
- 1 January 1968
- journal article
- Published by Institution of Engineering and Technology (IET) in Proceedings of the Institution of Electrical Engineers
- Vol. 115 (2) , 328-329
- https://doi.org/10.1049/piee.1968.0058
Abstract
Let P(s) be a system matrix in first form giving rise to a transfer-function matrix G(s). It is proved that, if P(s) is system-similar to a positive-real matrix, G(s) is positive-real, while, if G(s) is positive-real and P(s) has least order, P(s) is system-similar to a positive-real matrix. The extensions to system matrices in second and third forms are given.Keywords
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