Stabilization of unstable steady states by variable delay feedback control

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dc.creatorGjurchinovski, Aleksandar
dc.creatorUrumov, Viktor
dc.date2008-05-27
dc.date.accessioned2026-07-07T12:59:58Z
dc.date.available2026-07-07T12:59:58Z
dc.descriptionWe 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 Rössler 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.
dc.description7 pages, 4 figures, RevTeX
dc.identifierhttps://arxiv.org/abs/0805.4064
dc.identifierhttp://arxiv.org/abs/0805.4064
dc.identifierEurophys. Lett. 84, 40013 (2008).
dc.identifierdoi:10.1209/0295-5075/84/40013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225734
dc.subjectGeneral Physics
dc.subjectComputational Physics
dc.titleStabilization of unstable steady states by variable delay feedback control
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