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      Further stability results for a generalization of delayed feedback control

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      Author
      Morgül, Ö.
      Date
      2012-08-01
      Source Title
      Nonlinear Dynamics
      Print ISSN
      0924-090X
      Publisher
      Springer
      Volume
      70
      Issue
      2
      Pages
      1255 - 1262
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      In this paper, we consider the stabilization of unstable periodic orbits for one-dimensional and discrete time chaotic systems. Various control schemes for this problem are available and we consider a recent generalization of delayed control scheme. We prove that if a certain condition, which depends only on the period number, is satisfied then the stabilization is always possible. We will also present some simulation results.
      Keywords
      Chaos control
      Chaotic systems
      Delayed feedback
      Pyragas controller
      Chaos control
      Control schemes
      Delayed controls
      Delayed feedback
      Delayed feedback control
      Discrete time
      Pyragas controllers
      Stability results
      Unstable periodic orbits
      Stabilization
      Chaotic systems
      Permalink
      http://hdl.handle.net/11693/21311
      Published Version (Please cite this version)
      http://dx.doi.org/10.1007/s11071-012-0530-z
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      • Department of Electrical and Electronics Engineering 3619
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