Suppressing spatial bifurcations and chaos in one-way open coupled map lattices

K. Konishi, H. Kokame, Kentaro Hirata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A delayed-feedback control scheme is presented to suppress spatial bifurcation and chaotic behavior in open-flow models. It is shown that spatial bifurcation and chaotic behavior never occur when the delayedfeedback 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 the design of delayed-feedback controller. It is confirmed that our theoretical results agree well with the numerical simulations.

Original languageEnglish
Title of host publicationIECON Proceedings (Industrial Electronics Conference)
PublisherIEEE Computer Society
Pages2042-2047
Number of pages6
Volume1
DOIs
Publication statusPublished - 2000
Externally publishedYes

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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