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On the inverse problems of trajectory control Full article

Conference XIX Международная научно-техническая конференция «Динамика систем, механизмов и машин»
11-13 Nov 2025 , г.Омск
Source "Dynamics of Systems, Mechanisms and Machines" (Dynamics-2025)
Compilation, IEEE. https://dynamics.ieees.org/.2025.
Output data Year: 2025, DOI: 10.1109/Dynamics68764.2025.11302178
Tags inverse problems; dynamical systems; search; pursuit; initial conditions optimization
Authors Nartov B.K. 1 , Poluyanov A.N. 1
Affiliations
1 Sobolev Institute of Mathematics SB RAS

Funding (1)

1 Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». FWNF-2022-0016

Abstract: Abstract—The paper presents a general approach to optimization of initial conditions in trajectory control problems. This approach is based on alternating solutions of direct and special inverse problems. The possibilities of the approach are demonstrated for control problems of smooth non-autonomous dynamical systems, classical optimal search problems and standard pursuit problems for targets with specified trajectories. For these problems, directional algorithms of optimization of initial conditions, i.e. the initial coordinates of controlled objects, with monotonous improvement of the control performance functional at each dual optimization step are proposed. Some of the analytical results have been verified by simulation tests and all omitted proofs have been completed.
Cite: Nartov B.K. , Poluyanov A.N.
On the inverse problems of trajectory control
In compilation "Dynamics of Systems, Mechanisms and Machines" (Dynamics-2025). – IEEE., 2025. DOI: 10.1109/Dynamics68764.2025.11302178 OpenAlex
Dates:
Published online: Dec 24, 2025
Identifiers:
OpenAlex: W7117106957
Citing: Пока нет цитирований
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