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Cycle Mode in a Coupled Conservative System

  • NONLINEAR SYSTEMS
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Abstract

A scheme for controlling oscillations is proposed, in which, within the framework of a coupled system, the van der Pol cycle mode is imposed on a conservative system that admits a family of periodic motions. The acting control is found, the cycle is constructed, the attraction domain of the cycle is determined, and a control law and an algorithm for the asymptotic exit of the coupled system to the cycle mode are given.

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Funding

This work was financially supported in part by the Russian Foundation for Basic Research, project no. 19-01-00146a.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia

    V. N. Tkhai

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  1. V. N. Tkhai
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Correspondence to V. N. Tkhai.

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Translated by V. Potapchouck

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Tkhai, V.N. Cycle Mode in a Coupled Conservative System. Autom Remote Control 83, 237–251 (2022). https://doi.org/10.1134/S0005117922020060

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  • DOI: https://doi.org/10.1134/S0005117922020060

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