Hopf bifurcation in discrete-time systems via a frequency domain approach

2002 ◽  
Author(s):  
M.B. D'Amico ◽  
J.L. Moiola ◽  
E.E. Paolini
Keyword(s):  
Hopf Bifurcation ◽  
Frequency Domain ◽  
Discrete Time ◽  
Discrete Time Systems ◽  
Frequency Domain Approach ◽  
Time Systems

scholarly journals Controlling hopf bifurcations: Discrete-time systems

2000 ◽  
Vol 5 (1) ◽  
pp. 29-33 ◽  
Author(s):  
Guanrong Chen ◽  
Jin-quing Fang ◽  
Yiguang Hong ◽  
Huashu Qin
Keyword(s):  
Hopf Bifurcation ◽  
Computer Simulations ◽  
Discrete Time ◽  
State Feedback ◽  
Bifurcation Control ◽  
Hopf Bifurcations ◽  
Control Task ◽  
Discrete Time Systems ◽  
Time Systems ◽  
Theoretical Results

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.

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