Anti-control of Hopf bifurcations

Citation
Ds. Chen et al., Anti-control of Hopf bifurcations, IEEE CIRC-I, 48(6), 2001, pp. 661-672
Citations number
29
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Eletrical & Eletronics Engineeing
Journal title
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS
ISSN journal
1057-7122 → ACNP
Volume
48
Issue
6
Year of publication
2001
Pages
661 - 672
Database
ISI
SICI code
1057-7122(200106)48:6<661:AOHB>2.0.ZU;2-O
Abstract
Bifurcation control generally means to design a controller that is capable of modifying the bifurcation characteristics of a bifurcating nonlinear sys tem, thereby achieving some desirable dynamical behaviors. A typical object ive is to delay and/or stabilize an existing bifurcation, In this paper, we consider the problem of anti-controlling bifurcations, that is, a certain bifurcation is created at a desired location with preferred properties by a ppropriate control. Washout-filter-aided dynamic feedback control laws are developed for the creation of Hopf bifurcations, As Hopf bifurcations give rise to limit cycles, anti-control of Hopf bifurcations suggests a new appr oach for designing limit cycles with specified oscillatory behaviors into a system via feedback control when such dynamical behaviors are desirable.