G. A. Leonov, M. M. Shumafov, “Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback”, Avtomat. i Telemekh., 2018, Issue 6,Pages <nobr>87

This article is cited in 3 papers

Topical issue

Pyragas stabilizability of unstable equilibria by nonstationary time-delayed feedback

G. A. Leonov^a, M. M. Shumafov^b

^a St. Petersburg State University, St. Petersburg, Russia
^b Adyghe State University, Maikop, Russia

Abstract: The problem of Pyragas stabilizability of unstable equilibria of nonlinear systems is considered. Stabilization algorithm by periodic time-delayed feedback is constructed. An analytical criterion for stabilization is obtained. The proposed approach is based on the method of nonstationary stabilization.

Keywords: stabilization, unstable equilibrium, nonlinear differential equation, time-delayed feedback, linearization, eigenvalues.

Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 09.11.2017