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Controlling Hopf bifurcations: discrete-time systems - MaRDI portal

Controlling Hopf bifurcations: discrete-time systems (Q657093)

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scientific article; zbMATH DE number 5997766
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English
Controlling Hopf bifurcations: discrete-time systems
scientific article; zbMATH DE number 5997766

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    Controlling Hopf bifurcations: discrete-time systems (English)
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    16 January 2012
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    Summary: 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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    feedback control
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    Hopf bifurcation
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    limit cycle
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    period-doubling bifurcation
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    stability
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