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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2018 Issue 12, Pages 3–15 (Mi at14377)

This article is cited in 7 papers

Nonlinear Systems

Optimal processes for controllable oscillators

B. Andresena, P. Salamonb, K. H. Hoffmannc, A. M. Tsirlind

a University of Copenhagen, Copenhagen, Denmark
b San Diego State University, San Diego, USA
c Technical University of Chemnitz, Chemnitz, Germany
d Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalessky, Russia

Abstract: We consider the problem of optimal parametric control for a single oscillator or an ensemble of oscillators due to a change in one of the coefficients of the system of equations characterizing them. We obtain solutions for the problem of finding the maximal change in the energy of oscillations for a given time.

Keywords: parametric control, single oscillator, oscillator ensemble, speed dependence.

Presented by the member of Editorial Board: B. T. Polyak

Received: 02.03.2016

DOI: 10.31857/S000523100002838-5


 English version:
Automation and Remote Control, 2018, 79:12, 2103–2113

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© Steklov Math. Inst. of RAS, 2024