Zobrazeno 1 - 10
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pro vyhledávání: '"M. I. Gusev"'
Autor:
M. I. Gusev
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 317:S98-S108
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a61421628afa0ee7f8f417a682418e03
https://doi.org/10.1134/s0081543822030087
https://doi.org/10.1134/s0081543822030087
Autor:
M. I. Gusev, I. O. Osipov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 309:S52-S64
The geometric structure of small-time reachable sets plays an important role in control theory, in particular, in solving problems of local synthesis. In this paper, we consider the problem of approximate description of reachable sets on small time i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::176d8faa8975e120b527811845b8c078
https://doi.org/10.1134/s0081543820040070
https://doi.org/10.1134/s0081543820040070
Autor:
M. I. Gusev, I.O. Osipov
Publikováno v:
Trudy Instituta Matematiki i Mekhaniki UrO RAN. 25:86-99
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f4ec59f7cf75e639a8cc2e553474c8e
https://doi.org/10.21538/0134-4889-2019-25-3-86-99
https://doi.org/10.21538/0134-4889-2019-25-3-86-99
Autor:
M. I. Gusev, I. V. Zykov
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 304:S76-S87
We consider a nonlinear control system that is linear in the control variables. The control and the trajectory are subject to a system of isoperimetric constraints in the form of inequalities for integral functionals. We describe the boundary of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5650dfb57ba6456f8cf38e5c744928a
https://doi.org/10.1134/s0081543819020093
https://doi.org/10.1134/s0081543819020093
Autor:
I. V. Zykov, M. I. Gusev
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 300:114-125
It is well known that every control that steers the trajectory of a control system to the boundary of the reachable set satisfies the Pontryagin maximum principle. This fact is valid for systems with pointwise constraints on the control. We consider
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db925e3fae5e3436d6f11086453ff98d
https://doi.org/10.1134/s0081543818020116
https://doi.org/10.1134/s0081543818020116
Autor:
M. I. Gusev
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 299:61-67
We consider a nonlinear control system with state constraints given as a solution set for a finite system of nonlinear inequalities. The problem of constructing a feedback control that ensures the viability of trajectories of the closed system in a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5c4d8e8363daafbfaeccf58a9d7dacf1
https://doi.org/10.1134/s0081543817090085
https://doi.org/10.1134/s0081543817090085
Autor:
M. I. Gusev, I. V. Zykov
Publikováno v:
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19.
We consider nonlinear systems with uncertainty in dynamics due to controls or disturbances. Uncertainty generates a whole family of trajectories, called a trajectory tube. By an external estimate of a trajectory tube of the system we mean a multi- va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c389dd5799a75e039196355610e18890
https://doi.org/10.1063/1.5130810
https://doi.org/10.1063/1.5130810
Autor:
M. I. Gusev, I. O. Osipov
Publikováno v:
APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: 11th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences - AMiTaNS’19.
The convexity of reachable sets plays an essential role in the development of algorithms for solving optimal control problems and problems of feedback control. For nonlinear control systems the reachable sets are generally not convex and may have a r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be5cc174e381708170bd942a7fa3b498
https://doi.org/10.1063/1.5130809
https://doi.org/10.1063/1.5130809
Autor:
M. I. Gusev
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 293:66-74
The paper is devoted to the problem of approximating reachable sets for a nonlinear control system with state constraints given as a solution set of a finite system of nonlinear inequalities. Each of these inequalities is given as a level set of a sm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3119011cbabaeb7ec791168413713bac
https://doi.org/10.1134/s0081543816050072
https://doi.org/10.1134/s0081543816050072
Autor:
M. I. Gusev
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 292:115-124
The paper is devoted to the problem of approximating reachable sets of a nonlinear control system with state constraints given as a solution set of a nonlinear inequality. A state constraint elimination procedure based on the introduction of an auxil
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88a2b1b66d9ae84776e7e92cc2ddfae6
https://doi.org/10.1134/s0081543816020103
https://doi.org/10.1134/s0081543816020103