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A Balancing Approach to the Realization of Systems with Internal Passivity and Reciprocity

Please always quote using this URN:urn:nbn:de:0296-matheon-6904
  • This paper addresses the realization of positive real transfer functions which are symmetric with respect to some signature matrix. We show that a~realization that is jointly internally reciprocal and internally passive can be achieved by positive real balancing.

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Metadaten
Author:Timo Reis, Jan Willems
URN:urn:nbn:de:0296-matheon-6904
Referee:Volker Mehrmann
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2010/04/30
Release Date:2010/04/23
Tag:
MSC-Classification:93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Bxx Controllability, observability, and system structure / 93B10 Canonical structure
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Bxx Controllability, observability, and system structure / 93B11 System structure simplification
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Bxx Controllability, observability, and system structure / 93B17 Transformations
93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Bxx Controllability, observability, and system structure / 93B20 Minimal systems representations
94-XX INFORMATION AND COMMUNICATION, CIRCUITS / 94Cxx Circuits, networks / 94C05 Analytic circuit theory
Preprint Number:699
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