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Stabilization of oscillations in a coupled periodic system

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Abstract

Consideration was given to a model containing two coupled autonomous planar subsystems of differential equations. It was assumed that the subsystems admitted families of nondegenerate single-frequency oscillations, and coupling was described by time-periodic functions. Solved was the problem of natural stabilization of system oscillations, where by natural stabilization was meant construction of an isolated oscillation and its concurrent stabilization. Constructive conditions for smooth periodic coupling controls providing problem solution were derived. Specific control was proposed for coupled conservative systems with one degree of freedom.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 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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Original Russian Text © V.N. Tkhai, 2017, published in Avtomatika i Telemekhanika, 2017, No. 11, pp. 34–47.

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Tkhai, V.N. Stabilization of oscillations in a coupled periodic system. Autom Remote Control 78, 1967–1977 (2017). https://doi.org/10.1134/S0005117917110030

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