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Journal of Dynamical and Control Systems

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04-09-2018

Control Systems on the Engel Group

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

Published in: Journal of Dynamical and Control Systems | Issue 3/2019

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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.

previous article Approximate Controllability for Navier–Stokes Equations in 3D Rectangles Under Lions Boundary Conditions

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Title: Control Systems on the Engel Group
Authors: D. I. Barrett
C. E. McLean
C. C. Remsing
Publication date: 04-09-2018
Publisher: Springer US
Published in: Journal of Dynamical and Control Systems / Issue 3/2019
Print ISSN: 1079-2724
Electronic ISSN: 1573-8698
DOI: https://doi.org/10.1007/s10883-018-9418-7

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