Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Christopher G. Moseley"'
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
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
Publikováno v:
Commun. Inf. Syst. 9, no. 1 (2009), 59-76
Experiments in nuclear magnetic resonance (NMR) spectroscopy and NMR quantum computing require control of ensembles of quantum mechanical systems. The controlled transfer of coherence along a one-dimensional chain of spin systems plays a key role in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13d70615c1409f22460f8c937ae6b82d
https://doi.org/10.4310/cis.2009.v9.n1.a3
https://doi.org/10.4310/cis.2009.v9.n1.a3
Publikováno v:
Differential Geometry and its Applications. 24(6):628-651
We define the notion of sub-Finsler geometry as a natural generalization of sub-Riemannian geometry with applications to optimal control theory. We compute a complete set of local invariants, geodesic equations, and the Jacobi operator for the three-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a01a9c3f574c3ea4c1671445e7eb1939
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 dimen- sions two and three. We compute local isometric invariants for point-affine di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c23e375285d0712bdf21aff56d02bff1
http://arxiv.org/abs/1206.1101
http://arxiv.org/abs/1206.1101
Publikováno v:
Asian J. Math. 11, no. 4 (2007), 699-726
We analyze the geometry of sub-Finsler Engel manifolds, computing a complete set of local invariants for a large class of these manifolds. We derive geodesic equations for regular geodesics and show that in the symmetric case, the rigid curves are lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7aedffcc1f6f57511eae26e86ea33741
http://projecteuclid.org/euclid.ajm/1209735317
http://projecteuclid.org/euclid.ajm/1209735317
Autor:
Christopher G. Moseley
Publikováno v:
SPIE Proceedings.
Recent papers by Khaneja, Brockett and Glaser obtained efficient RF pulse trains for two-spin and three-spin NMR systems by finding sub-Riemannian geodesics on a quotient space of SU(4). This paper outlines a method for extending their results via th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5e3b66ec707bfadd5f7e3f2e46d4abf
https://doi.org/10.1117/12.538678
https://doi.org/10.1117/12.538678