Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
Invariance of Controllability and Observability for Linear Time-invariant Uncertain Systems
Tomoaki HASHIMOTOTakashi AMEMIYAHironori A. FUJII
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2008 Volume 44 Issue 8 Pages 654-662

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Abstract
The controllability and the observability of linear uncertain systems are investigated here. The systems under consideration contain time-invariant uncertain parameters, which may take arbitrarily large values. In this case, the locations of uncertain elements in the system matrices play an important role. It is shown that a linear uncertain system is controllability and observability invariant if and only if the system has a particular geometric configuration called a complete generalized antisymmetric stepwise configuration (CGASC), which includes GASC defined by Wei1.
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