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

Keiji Konishi, Hideki Kokame, and Kentaro Hirata
Phys. Rev. E 62, 384 – Published 1 July 2000
PDFExport Citation

Abstract

A delayed-feedback control scheme is presented for suppressing spatial bifurcation and chaotic behavior in open-flow models. 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 1. We provide a simple systematic procedure for design of the delayed-feedback controller. It is confirmed that our theoretical results agree well with the numerical simulations.

  • Received 7 February 2000

DOI:https://doi.org/10.1103/PhysRevE.62.384

©2000 American Physical Society

Authors & Affiliations

Keiji Konishi*, Hideki Kokame, and Kentaro Hirata

  • Department of Electrical and Electronic Systems, Osaka Prefecture University 1-1 Gakuen-cho, Sakai, Osaka 599-8531, Japan

  • *Author to whom correspondence should be addressed. FAX: +81-722-54-9907. Electronic address: konishi@ecs.ees.osakafu-u.ac.jp

References (Subscription Required)

Click to Expand
Issue

Vol. 62, Iss. 1 — July 2000

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×