Nonlinear Phenomena in Complex Systems, 2015, Vol.18, No.2, pp.175-180

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2015, Vol.18, No.2, pp.175-180

Cycle Stabilization by One and Two Delay Feedback Control
V. Bogaevskaya, I. Kashchenko

In this paper we solve problems of stabilization of unstable cycle by delay feedback. We study model equation with cubic nonlinearity. In this case only one multiplicator is located outside unit circle. We consider two types of delay feedback control: with one delay and with two delays. The partition of parameters plane into regions with the same number of ¾unstable¿ multiplicators is obtained. For one delay case the problem is completely solved analytically, and for two delays case results are numeric-analytical ones.

Key words: cycle stabilization, delay feedback, qubic nonlinearity, feedback control

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