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Control of unstable steady states in neutral time-delayed systems
journal contributionposted on 2023-06-08, 09:58 authored by Konstantin BlyussKonstantin Blyuss, Yuliya KyrychkoYuliya Kyrychko, P Hövel, E Schöll
We present an analysis of time-delayed feedback control used to stabilize an unstable steady state of a neutral delay differential equation. Stability of the controlled system is addressed by studying the eigenvalue spectrum of a corresponding characteristic equation with two time delays. An analytic expression for the stabilizing control strength is derived in terms of original system parameters and the time delay of the control. Theoretical and numerical results show that the interplay between thecontrol strength and two time delays provides a number of regions in the parameter space where the time-delayed feedback control can successfully stabilize an otherwise unstable steady state.
JournalEuropean Physical Journal B: Condensed Matter and Complex Systems
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