Zobrazeno 1 - 10
of 11
pro vyhledávání: '"E. F. Sachkova"'
Autor:
Yu. L. Sachkov, E. F. Sachkova
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 315:223-232
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c53af083d283f7428c7fd1250466593
https://doi.org/10.1134/s0081543821050175
https://doi.org/10.1134/s0081543821050175
Autor:
Yu. L. Sachkov, E. F. Sachkova
Publikováno v:
Doklady Mathematics. 103:61-65
Abstract We describe all Carnot algebras with growth vector (2, 3, 5, 6), their normal forms, an invariant that separates them, and a change of basis that transforms such an algebra into a normal form. For each normal form, Casimir functions and symp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c9ec6664b6dd16295fa506ca2a0bfe7e
https://doi.org/10.1134/s1064562421010105
https://doi.org/10.1134/s1064562421010105
Autor:
Yu. L. Sachkov, E. F. Sachkova
Publikováno v:
Sbornik: Mathematics. 211:1460-1485
A left-invariant sub-Riemannian problem on a free nilpotent Lie group of step 4 with two generators is considered. The structure of abnormal extremals is described. These extremals are shown to define an abnormal foliation of the annihilator of the s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54c69f29715cb439528e8fa8924f911f
https://doi.org/10.1070/sm9266
https://doi.org/10.1070/sm9266
Autor:
Yu. L. Sachkov, E. F. Sachkova
Publikováno v:
Mathematical Notes. 109:317-319
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::22921a3b01f8e1607ec958401540f494
https://doi.org/10.1134/s0001434621010375
https://doi.org/10.1134/s0001434621010375
Autor:
E. F. Sachkova, Yu. L. Sachkov
Publikováno v:
Differential Equations. 53:352-365
We consider the nilpotent sub-Riemannian problem with growth vector (2, 3, 5, 8). We describe and study abnormal extremals orthogonal to the cube of the distribution. We analyze the geometric properties of a two-dimensional surface in the state space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::004ae9af1e0f4e0e85b4056f5662a3b1
https://doi.org/10.1134/s0012266117030077
https://doi.org/10.1134/s0012266117030077
Autor:
E. F. Sachkova
Publikováno v:
Journal of Mathematical Sciences. 199:583-587
The Popp measure of a sub-Riemannian ball is calculated for a left-invariant sub-Riemannian structure on the Heisenberg group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05321035b6321471076f6410d084f03b
https://doi.org/10.1007/s10958-014-1885-0
https://doi.org/10.1007/s10958-014-1885-0
Autor:
E. F. Sachkova
Publikováno v:
Differential Equations. 46:1202-1210
We consider the control problem for a system described by ordinary differential equations with linear controls. We present sufficient conditions for finding an exact solution of the control problem for a three-dimensional nilpotent system with a two-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c95b0944e3874a419f795ca121170831
https://doi.org/10.1134/s0012266110080136
https://doi.org/10.1134/s0012266110080136
Autor:
E. F. Sachkova
Publikováno v:
Differential Equations. 45:1386-1395
We consider the control problem for deterministic systems described by ordinary differential equations with linear controls. On the basis of the nilpotent approximation method, we construct an algorithm for finding an approximate solution of the cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2821fcd7d146edddbbb111c0f7913523
https://doi.org/10.1134/s0012266109090146
https://doi.org/10.1134/s0012266109090146
Autor:
E. F. Sachkova
Publikováno v:
Automation and Remote Control. 70:728-738
The two-point boundary value problem for nonlinear systems, linear in unbounded control, is considered. For three-dimensional systems we present a local algorithm of approximate solution to the control problem. On the basis of this algorithm were con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::92e5bf44188bc0546231cedddede2ab4
https://doi.org/10.1134/s0005117909040195
https://doi.org/10.1134/s0005117909040195
Autor:
E. F. Sachkova
Publikováno v:
Differential Equations. 44:1768-1772
We consider a control problem for systems described by ordinary differential equations with linear controls. The solution of the control problem for a three-dimensional nilpotent system with two-dimensional control is presented in the classes of trig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::47168cd396993036f1016456364d9803
https://doi.org/10.1134/s0012266108120148
https://doi.org/10.1134/s0012266108120148