Bounding the distance of a controllable and observable system to an uncontrollable or unobservable one
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Inclou dades d'ús des de 2022
Cita com:
hdl:2117/1048
Tipus de documentArticle
Data publicació1999
Condicions d'accésAccés obert
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Abstract
Let $(A,B,C)$ be a triple of matrices representing a time-invariant
linear system $\left .\aligned \dot
x(t)&=Ax(t)+Bu(t)\\y(t)&=Cx(t)\endaligned \right \}$ under similarity
equivalence, corresponding to a realization of a prescribed transfer
function matrix.
In this paper we measure the distance between a irreducible realization,
that is to say a controllable and observable triple of matrices $(A,B,C)$
and the nearest reducible one that is to say uncontrollable or unobservable
one.
Different upper bounds are obtained in terms of singular values of the
controllability matrix $C(A,B,C)$, observability matrix $O(A,B,C)$ and
controllability and observability matrix $CO(A,B,C)$ associated to the
triple.
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Bounding1.pdf | 141,0Kb | Visualitza/Obre |