Control Systems on the Engel Group View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-09-04

AUTHORS

D. I. Barrett, C. E. McLean, C. C. Remsing

ABSTRACT

We consider control affine systems, as well as cost-extended control systems, on the (four-dimensional) Engel group. Specifically, we classify the full-rank left-invariant control affine systems (under both detached feedback equivalence and strongly detached feedback equivalence). The cost-extended control systems with quadratic cost are then classified (under cost equivalence), as are their associated Hamilton-Poisson systems (up to affine isomorphism). In all cases, we exhibit a complete list of equivalence class representatives. More... »

PAGES

1-26

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10883-018-9418-7

DOI

http://dx.doi.org/10.1007/s10883-018-9418-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1106583837


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