Controlling hopf bifurcations: Discrete-time systems. Issue 1 (2000)

• Record Type: Journal Article
• Authors: Chen, Guanrong; Fang, Jin-quing; Hong, Yiguang; Qin, Huashu
• Is Part Of: Discrete dynamics in nature and society. Volume 5:Issue 1(2000)
• Page Start: 29
• Page End: 33
• Publication Date: 2000
• Subjects: Feedback control -- Hopf bifurcation -- Limit cycle -- Period-doubling bifurcation -- Stability; System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/S1026022600000364
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : Bifurcation control has attracted increasing attention in recent years. A simple and unified state-feedback methodology is developed in this paper for Hopf bifurcation control for discrete-time systems. The control task can be either shifting an existing Hopf bifurcation or creating a new Hopf bifurcation. Some computer simulations are included to illustrate the methodology and to verify the theoretical results.