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pro vyhledávání: '"M.G. Dmitriev"'
Akademický článek
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Publikováno v:
2018 Eleventh International Conference "Management of large-scale system development" (MLSD.
In this paper an approach for the construction of composite stabilizing regulators for singular perturbed optimal control problems and optimal control problems for weakly coupled nonlinear systems based on the decomposition of initial problems into s
Akademický článek
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Publikováno v:
IFAC Proceedings Volumes. 34:605-609
For classical optimal control problem with free right end point and two groups of motions in one of which velocity has both large and small values is constructed approximate analytic expressions for optimal control based on Pade-approximation. It is
Autor:
M.G. Dmitriev
Publikováno v:
Journal of Applied Mathematics and Mechanics. 42:238-242
It is shown that the optimal traj ectories in the linear problem of optimal control with a quadratic functional and a large parameter accompanying the control are close, in a certain sense, to the solutions of a specially constructed problem of the s
Autor:
V.Ia. Glizer, M.G. Dmitriev
Publikováno v:
Journal of Applied Mathematics and Mechanics. 41:594-598
Autor:
M.G. Dmitriev, A.M. Klishevic
Publikováno v:
Systems & Control Letters. 4:223-226
Two schemes of iterative solution of optimal control problems with fast and slow motions are considered here. The first is connected with the iterative solution of corresponding necessary optimality conditions and is adjoined to the iterative method
Autor:
M.G. Dmitriev, A.B. Vasil’eva
Publikováno v:
IFAC Proceedings Volumes. 11:963-966
Some results on singular perturbations in optimal control problems of Soviet authors are surveyed. Asymptotic solution of the two-point singular perturbed boundary value problems, appearing in the optimal control theory with an unbounded control, is
Publikováno v:
IFAC Proceedings Volumes. 13:225-230
The mathematical model of a technological process used to cut several kinds of the raw materials for the manufacture of products is discussed. The optimal control of this process is formulated as a discrete optimal control problem. The model takes in
Autor:
S V Belokokopytov, M.G. Dmitriev
Publikováno v:
Systems & Control Letters. 8:129-135
The nonlinear optimal control problems described by singularly perturbed models are studied in order to obtain the ways of decomposition and to construct the suboptimal control sequences. A new scheme, the so-called direct scheme, applying the Vasil'