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Abstract <p>A set <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11488_2025_7516_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Xi \)</EquationSource> <!--CompSys2570032Tkhai-m1--> </InlineEquation> of conservative systems that allow oscillations of the given period is considered. The&#xa0;problem of aggregating the set <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11488_2025_7516_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Xi \)</EquationSource> <!--CompSys2570032Tkhai-m2--> </InlineEquation> into a coupled system with an attractive (in a large) cycle, in which the phase control law in the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11488_2025_7516_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Xi \)</EquationSource> <!--CompSys2570032Tkhai-m3--> </InlineEquation> systems is realized, is solved. An approach is developed in which a Van&#xa0;der Pol oscillator with an adjustable frequency is used as a control signal generator, acting through one-way control links on the systems of the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11488_2025_7516_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Xi \)</EquationSource> <!--CompSys2570032Tkhai-m4--> </InlineEquation> set: in the aggregated system, there are no direct links between the <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11488_2025_7516_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Xi \)</EquationSource> <!--CompSys2570032Tkhai-m5--> </InlineEquation> systems. The control system is described by autonomous equations.</p>

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System of Controlled Moving Objects with an Attracting Cycle Mode

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • V. N. Tkhai

摘要

Abstract

A set \(\Xi \) of conservative systems that allow oscillations of the given period is considered. The problem of aggregating the set \(\Xi \) into a coupled system with an attractive (in a large) cycle, in which the phase control law in the \(\Xi \) systems is realized, is solved. An approach is developed in which a Van der Pol oscillator with an adjustable frequency is used as a control signal generator, acting through one-way control links on the systems of the \(\Xi \) set: in the aggregated system, there are no direct links between the \(\Xi \) systems. The control system is described by autonomous equations.