Memory difference control of unknown unstable fixed points: Drifting parameter conditions and delayed measurement

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dc.creatorClaussen, Jens Christian
dc.creatorMausbach, Thorsten
dc.creatorPiel, Alexander
dc.creatorSchuster, Heinz Georg
dc.date2006-09-20
dc.date.accessioned2026-07-07T07:25:33Z
dc.date.available2026-07-07T07:25:33Z
dc.descriptionDifference control schemes for controlling unstable fixed points become important if the exact position of the fixed point is unavailable or moving due to drifting parameters. We propose a memory difference control method for stabilization of a priori unknown unstable fixed points by introducing a memory term. If the amplitude of the control applied in the previous time step is added to the present control signal, fixed points with arbitrary Lyapunov numbers can be controlled. This method is also extended to compensate arbitrary time steps of measurement delay. We show that our method stabilizes orbits of the Chua circuit where ordinary difference control fails.
dc.description5 pages, 8 figures. See also chao-dyn/9810029 (Phys. Rev. E 70, 056225) and nlin.CD/0204031 (Phys. Rev. E 70, 046205)
dc.identifierhttps://arxiv.org/abs/nlin/0609049
dc.identifierhttp://arxiv.org/abs/nlin/0609049
dc.identifierPhys. Rev. E 58, 7256-7260 (1998)
dc.identifierdoi:10.1103/PhysRevE.58.7256
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116754
dc.subjectChaotic Dynamics
dc.titleMemory difference control of unknown unstable fixed points: Drifting parameter conditions and delayed measurement
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