Morgül, Ö.2016-02-082016-02-082005-020375-9601http://hdl.handle.net/11693/24110In 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.EnglishChaos controlChaotic systemsDelayed feedbackPyragas controllerArticleMathematical analysisOscillationPhysicsSimulationArticle10.1016/j.physleta.2004.11.057