Automation and Remote Control

, Volume 79, Issue 12, pp 2128–2135 | Cite as

Stabilization of Oscillations in a Periodic System by Choosing Appropriate Couplings

  • I. N. BarabanovEmail author
  • V. N. Tkhai
Nonlinear Systems


We study a model containing coupled subsystems (MCCS) defined by a system of ordinary differential equations, where subsystems are systems of autonomous ordinary differential equations. The model splits into unrelated systems when the numerical parameter that characterizes couplings is ε = 0, and the couplings are given by time-periodic functions. We solve the natural stabilization problem which consists in finding relationships that simultaneously guarantee the existence and asymptotic stability of MCCS oscillations. We generalize results previously obtained for the case of two coupled subsystems each of which is defined on its own plane.


model coupled subsystems oscillation stability natural stabilization 


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© Pleiades Publishing, Inc. 2018

Authors and Affiliations

  1. 1.V.A. Trapeznikov Institute of Control SciencesRussian Academy of SciencesMoscowRussia

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