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On the movement of two interacting bodies in a medium with quadratic resistance
- Authors: Mosenkov T.A.1, Figurina T.Y.2
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Affiliations:
- Lomonosov Moscow State University
- Ishlinsky Institute for Problems in Mechanics RAS
- Issue: No 3 (2024)
- Pages: 61-68
- Section: CONTROL IN DETERMINISTIC SYSTEMS
- URL: https://vietnamjournal.ru/0002-3388/article/view/676414
- DOI: https://doi.org/10.31857/S0002338824030055
- EDN: https://elibrary.ru/UQALER
- ID: 676414
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Abstract
The motion of two interacting bodies along a straight line in a medium with quadratic resistance is considered. The force of interaction between bodies is a control action, on which no restrictions are imposed. The problem of moving each of the bodies of the system over a given distance is solved, provided that the bodies are at rest at the beginning and at the end of the movement. In the constructed motion, moments of time at which the interaction force instantly changes the velocities of the bodies alternate with time intervals at which the interaction force is zero.
About the authors
T. A. Mosenkov
Lomonosov Moscow State University
Author for correspondence.
Email: timofei.mosenkov@math.msu.ru
Russian Federation, Moscow
T. Yu. Figurina
Ishlinsky Institute for Problems in Mechanics RAS
Email: t_figurina@mail.ru
Russian Federation, Moscow
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