On the stabilization of periodic orbits for discrete time chaotic systems
Author(s)
Date
2005-02Source Title
Physics Letters A
Print ISSN
0375-9601
Publisher
Elsevier
Volume
335
Issue
2-3
Pages
127 - 138
Language
English
Type
ArticleItem Usage Stats
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Abstract
In this Letter we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We propose a novel and simple periodic delayed feedback law and present some stability results. These results show that all hyperbolic periodic orbits as well as some non-hyperbolic periodic orbits can be stabilized with the proposed method. The stability proofs also give the possible feedback gains which achieve stabilization. We will also present some simulation results.
Keywords
Chaos controlChaotic systems
Delayed feedback
Pyragas controller
Article
Mathematical analysis
Oscillation
Physics
Simulation