Kalman's controllability rank condition: from linear to nonlinear. Sontag, E. In Mathematical system theory, pages 453–462. Springer, Berlin, 1991. abstract bibtex The notion of controllability was identified by Kalman as one of the central properties determining system behavior. His simple rank condition is ubiquitous in linear systems analysis. This article presents an elementary and expository overview of the generalizations of this test to a condition for testing accessibility of discrete and continuous time nonlinear systems.
@INCOLLECTION{MR1296059,
AUTHOR = {E.D. Sontag},
BOOKTITLE = {Mathematical system theory},
PUBLISHER = {Springer},
TITLE = {Kalman's controllability rank condition: from linear to
nonlinear},
YEAR = {1991},
ADDRESS = {Berlin},
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PAGES = {453--462},
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KEYWORDS = {controllability},
PDF = {../../FTPDIR/rek-volume.pdf},
ABSTRACT = { The notion of controllability was identified by Kalman
as one of the central properties determining system behavior. His
simple rank condition is ubiquitous in linear systems analysis. This
article presents an elementary and expository overview of the
generalizations of this test to a condition for testing accessibility
of discrete and continuous time nonlinear systems. }
}
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