Abstract
© 2017, University of Szeged. All rights reserved.In this paper we study the stabilization of rotating waves using time delayed feedback control. It is our aim to put some recent results in a broader context by discussing two different methods to determine the stability of the target periodic orbit in the controlled system: 1) by directly studying the Floquet multipliers and 2) by use of the Hopf bifurcation theorem. We also propose an extension of the Pyragas control scheme for which the controlled system becomes a functional differential equation of neutral type. Using the observation that we are able to determine the direction of bifurcation by a relatively simple calculation of the root tendency, we find stability conditions for the periodic orbit as a solution of the neutral type equation.
| Original language | English |
|---|---|
| Article number | 91 |
| Journal | Electronic Journal of Qualitative Theory of Differential Equations |
| Volume | 2017 |
| DOIs | |
| Publication status | Published - 1 Jan 2017 |
| Externally published | Yes |