Výsledky vyhledávání - "George R. Wilkens"

Akademický článek

Geometry of Optimal Control for Control-Affine Systems

Autor: Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 034 (2013)

Motivated by the ubiquity of control-affine systems in optimal control theory, we investigate the geometry of point-affine control systems with metric structures in dimensions two and three. We compute local isometric invariants for point-affine dist

Externí odkaz: https://doaj.org/article/4bc139879b904850b5be555fb8647a33

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Akademický článek

Geometry of Control-Affine Systems

Autor: Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 095 (2009)

Motivated by control-affine systems in optimal control theory, we introduce the notion of a point-affine distribution on a manifold X – i.e., an affine distribution F together with a distinguished vector field contained in F. We compute local invar

Externí odkaz: https://doaj.org/article/3a48fafea4ae40979f346b6172879a6e

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Geometric Methods for Efficient Planar Swimming of Copepod Nauplii

Autor: George R. Wilkens, Jonas Balisacan, Corey Shanbrom, Monique Chyba

Publikováno v: Micromachines
Micromachines, Vol 12, Iss 706, p 706 (2021)
Volume 12
Issue 6

Copepod nauplii are larval crustaceans with important ecological functions. Due to their small size, they experience an environment of low Reynolds number within their aquatic habitat. Here we provide a mathematical model of a swimming copepod naupli

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5dee08bdfacdeeb37e732837926af25d
https://pubmed.ncbi.nlm.nih.gov/34208685

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Multi-agent systems for quadcopters

Autor: Corey Shanbrom, Monique Chyba, Richard Carney, George R. Wilkens, Chris Gray

Unmanned Aerial Vehicles (UAVs) have been increasingly used in the context of remote sensing missions such as target search and tracking, mapping, or surveillance monitoring. In the first part of our paper we consider agent dynamics, network topologi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45d644df3ff7bc6c270711b00d481632

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A geometrical approach to the motion planning problem for a submerged rigid body

Autor: Monique Chyba, Christopher J. Catone, Ryan N. Smith, George R. Wilkens

Publikováno v: International Journal of Control. 82:1641-1656

The main focus of this article is the motion planning problem for a deeply submerged rigid body. The equations of motion are formulated and presented by use of the framework of differential geometry and these equations incorporate external dissipativ

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::206f4b959efb1715c82b90aafa872e22
https://doi.org/10.1080/00207170802654410

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Constructing topologically distinct energy-critical curves in the path space of the Euclidean line

Autor: George R. Wilkens, Jeanne N. Clelland, Marek Kossowski

Publikováno v: Journal of Differential Equations. 241(2):305-331

We construct topologically distinct global, non-embedding solutions to the Euler–Lagrange equation for a natural energy functional on the space of maps f : R → E .

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65f5865281fa06c7b07a6f3f0444cecb

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