Zobrazeno 1 - 10
of 46
pro vyhledávání: '"V. I. Elkin"'
Autor:
V. I. Elkin
Publikováno v:
Differential Equations. 58:1450-1456
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::853f3d77aa035d6f31a4d4fb8148ec5a
https://doi.org/10.1134/s00122661220110027
https://doi.org/10.1134/s00122661220110027
Autor:
V. I. Elkin
Publikováno v:
Differential Equations. 57:1451-1459
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::025d2f4923e8f33d4fcd3a197e64582d
https://doi.org/10.1134/s0012266121110057
https://doi.org/10.1134/s0012266121110057
Autor:
V. I. Elkin
Publikováno v:
Differential Equations. 56:499-503
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7687e77fff5be7093f9b684a56a5ab26
https://doi.org/10.1134/s0012266120040084
https://doi.org/10.1134/s0012266120040084
Autor:
V. I. Elkin
Publikováno v:
Differential Equations. 54:1444-1448
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35a4e110335ed3990b0dad90a7d0f2c1
https://doi.org/10.1134/s0012266118110058
https://doi.org/10.1134/s0012266118110058
Autor:
V. I. Elkin
Publikováno v:
Computational Mathematics and Mathematical Physics. 58:1049-1057
The relation between the classical theory of Pfaffian systems and the modern theory of controlled systems is discussed. It is shown that this relation helps solve classification problems and terminal control problems for controlled systems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b4c1c1b78f5dbc74b668df5154c977fc
https://doi.org/10.1134/s0965542518070060
https://doi.org/10.1134/s0965542518070060
Autor:
V. I. Elkin
Publikováno v:
Computational Mathematics and Mathematical Physics. 58:155-158
The foundations of a differential geometric theory of nonlinear control systems are described on the basis of categorical concepts (isomorphism, factorization, restrictions) by analogy with classical mathematical theories (of linear spaces, groups, e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::786f0dae44b6343567f16efa580730e8
https://doi.org/10.1134/s0965542518020045
https://doi.org/10.1134/s0965542518020045
Autor:
V. I. Elkin
Publikováno v:
Differential Equations. 53:1645-1653
The use of special decompositions of nonlinear control systems for simplifying control problems by reducing their dimension is considered.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::15eaa78102d78bbf21b318822b04b594
https://doi.org/10.1134/s0012266117120114
https://doi.org/10.1134/s0012266117120114
Autor:
V. I. Elkin
Publikováno v:
Differential Equations. 52:1436-1441
We consider the problem of constructing manifolds of a special form, which are said to be almost integral, lie in the state space of an affine control system, and have the following property: the restriction of the control system to such a manifold i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65d2f5979c578ef68ce451cee8992a71
https://doi.org/10.1134/s0012266116110057
https://doi.org/10.1134/s0012266116110057
Autor:
V. I. Elkin
Publikováno v:
Computational Mathematics and Mathematical Physics. 56:1834-1842
The relation between the classical theory of Pfaffian systems and the modern theory of controlled systems is discussed. It is shown that this relation helps solve classification problems and terminal control problems for controlled systems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4958a7f309942962e3299392fae563c5
https://doi.org/10.1134/s0965542516110063
https://doi.org/10.1134/s0965542516110063
Autor:
V. I. Elkin
Publikováno v:
Differential Equations. 51:1440-1448
We consider the problem on the construction of subsystems of special form for affine control systems. A subsystem defines part of the trajectories of the original system which lie on some manifold in the state space of the system. Since, in general,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::996e3bb288108b59ffa27744a194f790
https://doi.org/10.1134/s0012266115110051
https://doi.org/10.1134/s0012266115110051