The Problem of Aggregating the Conservative Systems With Oscillations

The problem of aggregating a set of conservative systems with oscillations into a coupled system with an attractive cycle is analyzed. The conditions for aggregation are formulated. A leading (control) system is being built such that it possesses a van der Pol type dissipation. Universal weak coupling controls are proposed. Typical structures in an aggregated system are highlighted. The aggregation steps are described.

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Published
2024-11-13
DOI
https://doi.org/10.1109/summa64428.2024.10803864
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00
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article

The Problem of Aggregating the Conservative Systems With Oscillations

В. Н. Тхай, I. N. Barabanov
Advanced Differential Equations and Dynamical Systems
article

The Problem of Aggregating the Conservative Systems With Oscillations

В. Н. Тхай, I. N. Barabanov
article en

Abstract

The problem of aggregating a set of conservative systems with oscillations into a coupled system with an attractive cycle is analyzed. The conditions for aggregation are formulated. A leading (control) system is being built such that it possesses a van der Pol type dissipation. Universal weak coupling controls are proposed. Typical structures in an aggregated system are highlighted. The aggregation steps are described.

V. A. Trapeznikov Institute of Control Sciences (RU)
Openalex Percentile: Top 63%
Advanced Differential Equations and Dynamical Systems
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The Problem of Aggregating the Conservative Systems With Oscillations — В. Н. Тхай, I. N. Barabanov · (2024) | TGRS Research Map | TGRS