Subject: Physics - General Physics
Subject: Physics - General Physics
Subject: Physics - Computational Physics
Year: 2008
Type: Article
Title: Stabilization of unstable steady states by variable delay feedback control
Author: GJurchinovski, Aleksandar
Author: Viktor Urumov
Abstract: We report on a dramatic improvement of the performance of the classical time-delayed autosynchronization method (TDAS) to control unstable steady states, by applying a time-varying delay in the TDAS control scheme in a form of a deterministic or stochastic delay-modulation in a fixed interval around a nominal value $T_0$. The successfulness of this variable delay feedback control (VDFC) is illustrated by a numerical control simulation of the Lorenz and R\"{o}ssler systems using three different types of time-delay modulations: a sawtooth wave, a sine wave, and a uniform random distribution. We perform a comparative analysis between the VDFC method and the standard TDAS method for a sawtooth-wave modulation by analytically determining the domains of control for the generic case of an unstable fixed point of focus type.
Publisher: IOP Publishing
Relation: EPL (Europhysics Letters)
Identifier: oai:repository.ukim.mk:20.500.12188/11871
Identifier: http://hdl.handle.net/20.500.12188/11871Identifier: 10.1209/0295-5075/84/40013
Identifier: https://iopscience.iop.org/article/10.1209/0295-5075/84/40013/pdfIdentifier: 84
Identifier: 4
Identifier: 40013
