Delayed-feedback control of spatial bifurcations and chaos in open-flow models

Keiji Konishi, Hideki Kokame, Kentaro Hirata

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A delayed-feedback control scheme for suppressing spatial bifurcation and chaotic behavior in open-flow models is presented. It is shown that spatial bifurcation and chaotic behavior never occur when the delayed-feedback controller is designed such that the following two conditions are satisfied: all the poles of the transfer function of each site are inside a unit circle and the H norm of the transfer function is less than one. A simple systematic procedure for design of the delayed-feedback controller is provided. It is confirmed that the theoretical results agree well with the numerical simulations.

Original languageEnglish
Pages (from-to)384-388
Number of pages5
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume62
Issue number1 A
DOIs
Publication statusPublished - Jul 2000
Externally publishedYes

Fingerprint

Delayed Feedback Control
Bifurcation and Chaos
Delayed Feedback
Chaotic Behavior
feedback control
transfer functions
Transfer Function
chaos
controllers
Bifurcation
Controller
Unit circle
norms
Pole
poles
Norm
Numerical Simulation
Model
simulation
Design

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Delayed-feedback control of spatial bifurcations and chaos in open-flow models. / Konishi, Keiji; Kokame, Hideki; Hirata, Kentaro.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 62, No. 1 A, 07.2000, p. 384-388.

Research output: Contribution to journalArticle

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