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Controllability and Observability of Second Order Descriptor Systems

By Philip Losse and Volker Mehrmann

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

Topics: impulse controllability, impulse observability, second order system
Publisher: SIAM
Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.133.9546
Provided by: CiteSeerX
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