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Article
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SIAM Journal on Control and Optimization
Article . 1986 . Peer-reviewed
Data sources: Crossref
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Strong Controllability of Nonlinear Systems

Strong controllability of nonlinear systems
Authors: Hirschorn, Ronald M.;

Strong Controllability of Nonlinear Systems

Abstract

Affine control systems defined by analytic vector fields are considered. The author individuates a subset of the Lie algebra associated to the system: the set of semicontrolled vector fields, which characterizes the strong controllability of the system. A method is given to determine some semicontrolled vector fields.

Keywords

Controllability, Vector fields, frame fields in differential topology, Attainable sets, reachability, Lie algebra, semicontrolled vector fields, Affine control systems, strong controllability, Lie algebras and Lie superalgebras, Nonlinear systems in control theory, Controllability of vector fields on \(C^\infty\) and real-analytic manifolds

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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