A separation principle for dynamical delayed output feedback control of chaos

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Original languageEnglish
Pages (from-to)31-42
Journal / PublicationPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number1
Publication statusPublished - 28 May 2001


In this Letter, a dynamical delayed output-feedback (DDOF) control strategy is proposed for stabilizing unstable periodic orbits (UPOs) of chaotic systems. Using the Floquet theory, a separation principle is established which gives a necessary and sufficient stability condition for DDOF UPO stabilizing control systems. The new principle shows that the so-called "odd number limitation" for delayed state-feedback control systems also applies to DDOF control. © 2001 Published by Elsevier Science B.V.

Research Area(s)

  • Controlling chaos, Delayed feedback control, Floquet theory, Output feedback