Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Svetlana Yu Ignatovich"'
Publikováno v:
Journal of Optimization, Differential Equations and Their Applications, Vol 31, Iss 2, Pp 1-23 (2023)
In the paper we consider nonlinear systems depending linearly on control with one-dimensional output. As is well known, under the analyticity requirement, the output can be expressed as a series of iterated integrals of controls with scalar coefficie
Externí odkaz:
https://doaj.org/article/1dd922f257724431a32b431583ec4afb
Publikováno v:
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, Vol 89, Pp 76-92 (2019)
We study the time-optimal control problem for an unmanned aerial vehicle (drone) moving in the plane of a constant altitude. A kinematic model is considered where the angular velocity is a control. Such a system is described by Markov-Dubins equation
Externí odkaz:
https://doaj.org/article/b3f87978d948449a94e73acf623f59a7
Publikováno v:
Advances in Intelligent Systems and Computing ISBN: 9783030509354
KKA
KKA
We discuss the concept of homogeneous approximation and describe a method for constructing a homogeneous approximation for driftless systems, which uses free algebraic approach developed by the authors in their previous papers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a2eccc7117c118ac00a008e51ada458
https://doi.org/10.1007/978-3-030-50936-1_52
https://doi.org/10.1007/978-3-030-50936-1_52
Autor:
K. V. Sklyar, Svetlana Yu. Ignatovich
Publikováno v:
Advances in Intelligent Systems and Computing ISBN: 9783030509354
KKA
KKA
The paper deals with the problem of mappability of nonlinear non-autonomous control systems to linear non-autonomous systems with analytic matrices. We study the existence of non-local linearizing map of class \(C^2\) for nonlinear systems of class \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e487799a5d6957d46ae7c2442a74de5
https://doi.org/10.1007/978-3-030-50936-1_53
https://doi.org/10.1007/978-3-030-50936-1_53
Publikováno v:
MED
We consider the feedback linearizability problem for control systems of the class C1 with one-dimensional control, i.e., the problem of the existence of a change of variables of the class C and a change of the control of the class C1 which map a give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b757d4d6451703b1d6aa90cdb936097f
https://doi.org/10.1109/med.2017.7984112
https://doi.org/10.1109/med.2017.7984112
Publikováno v:
Journal of Optimization Theory and Applications. 165:62-77
We consider the time-optimal control problem to the origin for a class of nonlinear systems, called dual-to-linear systems. We obtain the general description of possible optimal controls. In particular, we show that optimal controls take the values $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a5d106ff9ef27cd9faf6f75f079bbf5
https://doi.org/10.1007/s10957-014-0607-6
https://doi.org/10.1007/s10957-014-0607-6
Publikováno v:
Dissertationes Mathematicae. 504:1-88
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f552cd38bc1b7aa323e9758384119765
https://doi.org/10.4064/dm504-0-1
https://doi.org/10.4064/dm504-0-1
Publikováno v:
International Journal of Control. 81:371-380
In this paper, an algebraic technique originated by M. Fliess is developed and applied to a homogeneous approximation problem for nonlinear affine control systems. The central role is played by a generalization of the R. Ree's theorem on a connection
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::21c3a7a2e146205c05c6ffe8fb928906
https://doi.org/10.1080/00207170701561427
https://doi.org/10.1080/00207170701561427
Publikováno v:
Comptes Rendus Mathematique. 344:109-114
In a homogeneous approximation problem for affine control systems, privileged coordinates are those in which the system takes a ‘triangular’ form allowing one to find an approximating system. We give the necessary and sufficient conditions for co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c5ad2812a9db06d0198401380acf8aa
https://doi.org/10.1016/j.crma.2006.11.016
https://doi.org/10.1016/j.crma.2006.11.016