Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Velimir, Jurdjevic"'
Autor:
Velimir Jurdjevic
Publikováno v:
Communications in Analysis and Mechanics, Vol 16, Iss 2, Pp 345-387 (2024)
In this paper we introduce a natural compactification of a left (right) invariant affine control system on a semi-simple Lie group $ G $ in which the control functions belong to the Lie algebra of a compact Lie subgroup $ K $ of $ G $ and we investig
Externí odkaz:
https://doaj.org/article/d3c38eb7930d4527983113df2e42f536
This paper uncovers a large class of left-invariant sub-Rie\-mannian systems on Lie groups that admit explicit solutions with certain properties, and provides geometric origins for a class of important curves on Stiefel manifolds, called quasi-geodes
Externí odkaz:
http://arxiv.org/abs/1809.07013
Autor:
Velimir Jurdjevic
Publikováno v:
Mathematics, Vol 11, Iss 4, p 1063 (2023)
In his 1842 lectures on dynamics C.G. Jacobi summarized difficulties with differential equations by saying that the main problem in the integration of differential equations appears in the choice of right variables. Since there is no general rule for
Externí odkaz:
https://doaj.org/article/380a7ab5fafb47c8abca292b5b43e49b
Autor:
Velimir Jurdjevic
Publikováno v:
Mathematics, Vol 10, Iss 24, p 4827 (2022)
This paper defines a large class of differentiable manifolds that house two distinct optimal problems called affine-quadratic and rolling problem. We show remarkable connections between these two problems manifested by the associated Hamiltonians obt
Externí odkaz:
https://doaj.org/article/3170a0d116dc467d99ac0ea0d47a0e22
Publikováno v:
The Journal of Geometric Analysis. 30:3948-3978
This paper uncovers a large class of left-invariant sub-Rie\-mannian systems on Lie groups that admit explicit solutions with certain properties, and provides geometric origins for a class of important curves on Stiefel manifolds, called quasi-geodes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db601dd58f4bc6d1b84fc39fa21a7998
https://doi.org/10.1007/s12220-019-00223-1
https://doi.org/10.1007/s12220-019-00223-1
Publikováno v:
2018 13th APCA International Conference on Control and Soft Computing (CONTROLO).
Differential geometry supplies important mathematical tools for engineering applications. Geodesics play a crucial role in many iterative methods and, when there are explicit formulas to write them, they provide elegant and computationally efficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::123bb660b407964a7dd0a690e8b1dfe5
https://doi.org/10.1109/controlo.2018.8514270
https://doi.org/10.1109/controlo.2018.8514270
Autor:
Velimir Jurdjevic
Publikováno v:
Mathematical Control & Related Fields. 3:347-374
This paper focuses on a class of left invariant variational problems on a Lie group$\ G\ $whose Lie algebra $\mathfrak{g}$ admits Cartan decomposition $ \mathfrak{g}=\mathfrak{p}+\mathfrak{k}$ with the usual Lie algebraic conditions \begin{equation*}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::419c53dcd1bb1be477ec36b04ce06e7a
https://doi.org/10.3934/mcrf.2013.3.347
https://doi.org/10.3934/mcrf.2013.3.347
Autor:
Velimir Jurdjevic
Publikováno v:
Optimal Control and Geometry: Integrable Systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7371e1e09d435590d1176b59f0d2f52
https://doi.org/10.1017/cbo9781316286852.003
https://doi.org/10.1017/cbo9781316286852.003
Autor:
Velimir Jurdjevic
Publikováno v:
Optimal Control and Geometry: Integrable Systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92a6a39b23316398fe5682594f075255
https://doi.org/10.1017/cbo9781316286852.013
https://doi.org/10.1017/cbo9781316286852.013
Autor:
Velimir Jurdjevic
Publikováno v:
Optimal Control and Geometry: Integrable Systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4dd3d97cd124fd57495132212bde8bc
https://doi.org/10.1017/cbo9781316286852.016
https://doi.org/10.1017/cbo9781316286852.016