This article is cited in 2 papers

Nonlinear Systems

Aggregation of an autonomous system with an attracting cycle

V. N. Tkhai

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

Abstract: We consider a set of autonomous systems in each of which a case that is nondegenerate for a periodic solution is realized. The problem of aggregating these systems into a model containing related subsystems is solved so as to construct a system with an attracting cycle. Aggregation methods are proposed, weak coupling controls are found, and adjusted systems are constructed.

Keywords: aggregation, subsystem, periodic solution, nondegenerate case, weak coupling control, adjusted system, cycle, attraction.

Presented by the member of Editorial Board: A. M. Krasnosel'skii

Received: 25.08.2020
Revised: 22.09.2021
Accepted: 20.11.2021

DOI: 10.31857/S0005231022030047

 English version: Automation and Remote Control, 2022, 83:3, 332–342