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Anti-control of Hopf bifurcations through washout filters

Authors: null Dong Chen; H.O. Wang; null Guanrong Chen;

Anti-control of Hopf bifurcations through washout filters

Abstract

Bifurcation control generally means to design a controller that can modify the bifurcation characteristics of a bifurcating nonlinear system, thereby achieving some desirable dynamical behaviors. A typical objective is delay and/or stabilization of a given bifurcation. In this paper, we consider the problem of anti-control of bifurcations, that is, a certain bifurcation is created with desired location and properties by appropriate controls. In particular, washout filter-aided dynamic feedback control laws are given for the creation of Hopf bifurcations. As Hopf bifurcations give rise to limit cycles, anti-control of Hopf bifurcations can be viewed as one approach to design limit cycles and nonlinear oscillations into a system via feedback control when such dynamical behaviors are desirable.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Top 10%
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