A Graphical Characterization of Structurally Controllable Linear Systems With Dependent Parameters

One version of the concept of structural controllability defined for single-input systems by Lin and subsequently generalized to multi-input systems by others, states that a parameterized matrix pair (A, B) whose nonzero entries are distinct parameters, is structurally controllable if values can be...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 64; no. 11; pp. 4484 - 4495
Main Authors Liu, Fengjiao, Morse, A. Stephen
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Color
Complex networks
Controllability
Graph theory
Linear systems
linear time-invariant systems
Parameterization
Parameters
structural controllability
Transfer functions
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ISSN0018-9286
1558-2523
DOI10.1109/TAC.2019.2908311

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Summary:One version of the concept of structural controllability defined for single-input systems by Lin and subsequently generalized to multi-input systems by others, states that a parameterized matrix pair (A, B) whose nonzero entries are distinct parameters, is structurally controllable if values can be assigned to the parameters that cause the resulting matrix pair to be controllable. In this paper, the concept of structural controllability is broadened to allow for the possibility that a parameter may appear in more than one location in the pair (A, B). Subject to a certain condition on the parameterization called the "binary assumption," an explicit graph-theoretic characterization of such matrix pairs is derived.
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ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2019.2908311