Controllability of conservative behaviours

Shodhan Rao*

*Bijbehorende auteur voor dit werk

OnderzoeksoutputAcademicpeer review

1 Citaat (Scopus)

Samenvatting

In this article, we first define the class of J-conservative behaviours with observable storage functions, where J is a symmetric two-variable polynomial matrix. We then provide two main results. The first result states that if J(-xi,xi) is nonsingular, the input cardinality of a J-conservative behaviour with an observable storage function is always less than or equal to its output cardinality. The second result states that if J is constant and nonsingular, a J-conservative behaviour with an observable storage function and equal input and output cardinalities is always controllable. Physically the second result implies that a class of multiport lossless electrical networks is controllable.

Originele taal-2English
Pagina's (van-tot)983-989
Aantal pagina's7
TijdschriftInternational Journal of Control
Volume85
Nummer van het tijdschrift8
DOI's
StatusPublished - 2012
Extern gepubliceerdJa

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