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SIAM Journal on Control and Optimization
Article . 1976 . Peer-reviewed
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https://dx.doi.org/10.1137/031...
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Global Controllability of Nonlinear Systems

Global controllability of nonlinear systems
descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 1976 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Control and Optimization, volume 14, pages 700-711 (issn: 0363-0129, eissn: 1095-7138, Copyright policy )
Authors: Hirschorn, Ronald M.;

doi: 10.1137/0314045

Global Controllability of Nonlinear Systems

Abstract

This paper examines the relationship between the structure of the reachable set for nonlinear systems and the properties of the Lie algebras of vector fields associated with nonlinear systems. An expression for the reachable set at time t is obtained for a large class of nonlinear systems using unbounded controls.

Keywords

Controllability, Linear systems in control theory, General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to global analysis

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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!
28
Average
Top 1%
Average
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