Control of unstable steady states in neutral time-delayed systems

Blyuss, K B, Kyrychko, Y N, Hövel, P and Schöll, E (2008) Control of unstable steady states in neutral time-delayed systems. European Physical Journal B: Condensed Matter and Complex Systems, 65 (4). pp. 571-576. ISSN 1434-6028

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Abstract

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.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Depositing User: Konstantin Blyuss
Date Deposited: 06 Feb 2012 21:25
Last Modified: 14 Jun 2012 09:53
URI: http://sro.sussex.ac.uk/id/eprint/31188
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