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Main Title: Numerical methods to compute a minimal realization of a port-Hamiltonian system
Author(s): Cherifi, Karim
Mehrmann, Volker
Hariche, Kamel
Type: Research Paper
Abstract: Port-Hamiltonian (pH) systems are a very important modeling tool in almost all areas of systems and control, in particular in network based model of multi-physics multi-scale systems. They lead to remarkably robust models that can be easily interconnected. This paper discusses the derivation of pH models from time-domain input-output data. While a direct construction of pH models is still an open problem, we present three different indirect numerical methods for the minimal realization of pH systems. The algorithms are implemented in MATLAB and their performance is illustrated via several numerical examples.
Subject(s): port-Hamiltonian system
positive-real system
minimal realization
dissipation inequality
Issue Date: 27-Nov-2019
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: realizations from input-output data
minimal systems representations
port-Hamiltonian system
positive-real system
minimal real-ization
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2019, 08
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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