RAS PresidiumДоклады Российской академии наук. Физика, технические науки Doklady Physics

  • ISSN (Print) 2686-7400
  • ISSN (Online) 3034-5081

ON THE WORST DISTURBANCE OF AN OSCILLATOR WITH QUADRATIC-LAW DAMPING BY MEANS OF A FORCE WITH GIVEN INTEGRAL

PII
10.31857/S2686740023040028-1
DOI
10.31857/S2686740023040028
Publication type
Status
Published
Authors
Volume/ Edition
Volume 511 / Issue number 1
Pages
41-44
Abstract
A worst disturbance problem for an oscillator with quadratic-law damping is stated. The role of the disturbance is played by an external force applied to the oscillator. It is assumed that this force acts in one direction, that the integral of this force with respect to time is given, and that at the initial time instant the oscillator is resting in the equilibrium position. It is required to find a time history of the disturbing force that maximizes the maximum (with respect to time) of the absolute value of the displacement of the oscillator’s body from the equilibrium position. The worst disturbance is found and investigated from among rectangular pulses under which the disturbing force is constant on an initial time interval and is equal to zero outside of this interval.
Keywords
осциллятор с квадратичным демпфированием оптимальное управление наихудшие возмущения
Date of publication
16.09.2025
Year of publication
2025
Number of purchasers
0
Views
13

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