Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Piotr Kopacz"'
Autor:
Piotr Kopacz
Publikováno v:
Journal of Navigation. 75:1332-1336
The understanding and interpretation of simplicty in the context of a navigational path can be ambiguous. Different approaches to path planning are briefly juxtaposed, focusing on their simplicity-based distinctive features. This takes into considera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2610e2da776b9bd4557cc1e5ab655a09
https://doi.org/10.1017/s0373463322000625
https://doi.org/10.1017/s0373463322000625
Publikováno v:
Periodica Mathematica Hungarica. 86:266-280
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7813ccf0d3cfa52f7068b7501fe737d8
https://doi.org/10.1007/s10998-022-00464-8
https://doi.org/10.1007/s10998-022-00464-8
Autor:
Piotr Kopacz, Nicoleta Aldea
Publikováno v:
Journal of Optimization Theory and Applications. 189:19-45
This paper aims at solving Zermelo’s navigation problem on conformally flat Riemannian manifolds admitting a ship’s variable self-speed, under the action of arbitrary winds including space and time dependence for both perturbation and ship’s sp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::067c5094e287376606014452fe5bce89
https://doi.org/10.1007/s10957-021-01818-x
https://doi.org/10.1007/s10957-021-01818-x
Autor:
Nicoleta Aldea, Piotr Kopacz
Publikováno v:
Journal of the Franklin Institute. 358:776-799
This article aims at generalizing loxodromic (rhumb line) navigation to conformally flat Riemannian manifolds. We admit space-time dependence of both perturbing vector field and ship’s self-speed. Thereafter, the findings are applied to time-effici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e43c6d82ea270703034543b5b0c9c454
https://doi.org/10.1016/j.jfranklin.2020.11.009
https://doi.org/10.1016/j.jfranklin.2020.11.009
Autor:
Piotr Kopacz, Nicoleta Aldea
Publikováno v:
Journal of Navigation. 74:60-78
Introducing the notion of a pseudoloxodrome, we generalise a single-heading navigation to conformally flat Riemannian manifolds, under the action of a perturbing vector field (wind, current) of arbitrary force. The findings are applied to time-optima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7075151cc596ebf167faaf36eabe77f8
https://doi.org/10.1017/s0373463320000351
https://doi.org/10.1017/s0373463320000351
Autor:
Piotr Kopacz, Nicoleta Aldea
Publikováno v:
Annual Reviews in Control. 49:164-172
The paper presents an improved formula for optimal navigation with respect to time which can be applied to the practical methods and numerical techniques for computing minimum-time paths and routing in arbitary winds, i.e. strong, critical, weak incl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3b875286763f0a4b095e741763d1df15
https://doi.org/10.1016/j.arcontrol.2020.04.002
https://doi.org/10.1016/j.arcontrol.2020.04.002
Autor:
Nicoleta Aldea, Piotr Kopacz
Publikováno v:
Nonlinear Analysis. 227:113160
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2cb959899cfe33277a4f237c12a00e4
https://doi.org/10.1016/j.na.2022.113160
https://doi.org/10.1016/j.na.2022.113160
Autor:
Piotr Kopacz
Publikováno v:
Geodesy and Cartography, Vol 40, Iss 2 (2014)
"Erratum on the article ‘On geometric properties of spherical conics and generalization of π in navigation and mapping’" Geodesy and Cartography. First published online: 17 Jan 2013
Externí odkaz:
https://doaj.org/article/9181b623d81e455ba4fccab6e09858e4
Autor:
Piotr Kopacz
Publikováno v:
Geodesy and Cartography, Vol 38, Iss 4 (2012)
First, we cover the conical curves on 2-dimensional modeling sphere S 2 showing their geometric properties affecting the hyperbolic navigation. We place emphasis on the geometric definition of spherical parabola and relate it to the notions of spheri
Externí odkaz:
https://doaj.org/article/4ef9dced57ff4ae197d911ae9f2efc6f
Autor:
Piotr Kopacz, Nicoleta Aldea
Publikováno v:
Results in Mathematics. 72:2165-2180
We study the Zermelo navigation problem on Hermitian manifolds (M, h) in the presence of a critical perturbation W determined by a complex velocity vector field such that $$0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::145cdb46331dbf5b203b6211f7ac7e03
https://doi.org/10.1007/s00025-017-0757-6
https://doi.org/10.1007/s00025-017-0757-6