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      Stability results for some periodic feedback controllers

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      Author
      Morgül, Ömer
      Date
      2005
      Source Title
      Proceedings of the 16th IFAC World Congress, IFAC 2005
      Print ISSN
      1474-6670
      Publisher
      IFAC
      Volume
      38
      Pages
      1193 - 1198
      Language
      English
      Type
      Conference Paper
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      Abstract
      We propose two periodic feedback schemes for the stabilization of periodic orbits for one dimensional discrete time chaotic systems. These schemes can be generalized to higher dimensional systems in a straightforward way. We show that the proposed schemes achieve stabilization of a wide range of periodic orbits. The proposed schemes are quite simple and we show that any hyperbolic periodic orbit can be stabilized with these schemes. We also present some simulation results.
      Keywords
      Chaos control
      Delayed feedback system
      Pyragas controller
      Stability
      Discrete time
      Feedback controller
      Feedback scheme
      Higher-dimensional systems
      Discrete time control systems
      Permalink
      http://hdl.handle.net/11693/27325
      Published Version (Please cite this version)
      https://doi.org/10.3182/20050703-6-CZ-1902.00856
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      • Department of Electrical and Electronics Engineering 3524
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