Bifurcation control of parametrically excited Duffing system by a combined linear-plus-nonlinear feedback control
type: Item
instance of: scholarly article
title: Bifurcation control of parametrically excited Duffing system by a combined linear-plus-nonlinear feedback control
zbMATH Open document ID: 0914.70020
DOI: 10.1023/A:1008270815516
author: H. Yabuno
published in: Nonlinear Dynamics
publication date: 1999-06-21T00:00:00Z
review text: A bifurcation control method for the parametrically excited Duffing system is proposed by making use of the combined linear-plus-nonlinear feedback. The author examines the effect of the bifurcation control for the stabilization of trivial steady state in frequency response and for the elimination of jump in force response. Taking into account the fact that the system is qualitatively characterized by the modulation equation, the author determines the order of combined linear-plus-nonlinear feedback gains. Modifying the modulation equations due to the feedback, the method of the bifurcation control is proposed and the performance of the system under bifurcation control is numerically simulated.
reviewed by: Zbigniew Dżygadło
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 70K28
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 1042679
zbMATH Keywords: stabilization of trivial steady state
zbMATH Keywords: frequency response
zbMATH Keywords: force response
zbMATH Keywords: modulation equation
MaRDI profile type: Publication
full work available at URL: a:1008270815516
OpenAlex ID: W69355872
description: scientific article; zbMATH DE number 1042679