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Control of unstable steady states in neutral time-delayed systems

Author

Listed:
  • K. B. Blyuss
  • Y. N. Kyrychko
  • P. Hövel
  • E. Schöll

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. Copyright Springer 2008

Suggested Citation

  • K. B. Blyuss & Y. N. Kyrychko & P. Hövel & E. Schöll, 2008. "Control of unstable steady states in neutral time-delayed systems," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(4), pages 571-576, October.
    • Handle: RePEc:spr:eurphb:v:65:y:2008:i:4:p:571-576
    DOI: 10.1140/epjb/e2008-00371-x
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