Controllability of conservative behaviours
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(−ξ, ξ) is nonsingular, the input cardinality of a J-conservative behav...
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Published in | International journal of control Vol. 85; no. 8; pp. 983 - 989 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis Group
01.08.2012
Taylor & Francis Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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Summary: | 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(−ξ, ξ) 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. |
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Bibliography: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
ISSN: | 0020-7179 1366-5820 |
DOI: | 10.1080/00207179.2012.673134 |