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Main Title: Algebraic characterization of controllability and observability for second order descriptor systems
Author(s): Losse, Philip
Mehrmann, Volker
Type: Research Paper
Abstract: We analyze controllability and observability conditions for second order descriptor systems and show how the classical conditions for first order systems can be generalized to this case. We show that performing a classical transformation to first order form may destroy some controllability and observability properties. To avoid this, we will derive a canonical form and new first order formulations that do not destroy the controllability and observability properties. As an example, we demonstrate that the loss of impulse controllability in constrained multi-body systems is due to the representation as first order system.
Subject(s): descriptor system
impulse controllability
impulse observability
second order system
order reduction
index reduction
Issue Date: 30-Oct-2006
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93B05 Controllability
93B07 Observability
93B10 Canonical structure
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2006, 21
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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