Controlling Hopf bifurcations: Discrete-time systems

Citation
Gr. Chen et al., Controlling Hopf bifurcations: Discrete-time systems, DISCR D N S, 5(1), 2000, pp. 29-33
Citations number
17
Categorie Soggetti
Multidisciplinary
Journal title
DISCRETE DYNAMICS IN NATURE AND SOCIETY
ISSN journal
10260226 → ACNP
Volume
5
Issue
1
Year of publication
2000
Pages
29 - 33
Database
ISI
SICI code
1026-0226(2000)5:1<29:CHBDS>2.0.ZU;2-M
Abstract
Bifurcation control has attracted increasing attention in recent years. A s imple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can b e either shifting an existing Hopf bifurcation or creating a new Hopf bifur cation. Some computer simulations are included to illustrate the methodolog y and to verify the theoretical results.