Natural Stabilization of the Oscillation in the Coupled Periodical System

摘要

The problem of natural stabilization of a coupled periodical system is solved by determining couplings that ensure both existence and asymptotic stability of an oscillation. The developped approach consists in reducing the initial subsystems such that they comprise cycles, and simultaneously, in coupling the subsystems into the system that admits an symptotically stable periodic motion. The couplings are supposed to be smooth periodic in time functions.