線形不確定システムの可制御性と可観測性の双対不変構造

概要

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This note studies the controllability and the observability for linear time-invariant uncertain systems whose system matrices contain uncertain entries that may take arbitrary large values. For a certain class of systems, it has been shown that a system is controllable and observable irrespectively of the bounds of uncertain entries if and only if the system has a particular geometric configuration called a complete generalized antisymmetric stepwise configuration. In this note, using the duality between the controllability and the observability, we show a necessary and sufficient condition for the system belonging a new class of systems to be controllable and observable independently of the bounds of uncertain entries.
公益社団法人計測自動制御学会の論文