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

K. Konishi; H. Kokame; Kentaro Hirata

doi:10.1109/IECON.2000.972590

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 proceeding › Conference 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 language	English
Title of host publication	IECON Proceedings (Industrial Electronics Conference)
Publisher	IEEE Computer Society
Pages	2042-2047
Number of pages	6
Volume	1
DOIs	https://doi.org/10.1109/IECON.2000.972590
Publication status	Published - 2000
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1109/IECON.2000.972590

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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.",

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AB - 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.

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