Morgül, Ömer2016-02-082016-02-082012-061474-6670http://hdl.handle.net/11693/28084Date of Conference: 20-22 June 2012Conference Name: 2012 IFAC Conference on Analysis and Control of Chaotic SystemsIn this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We consider both one dimensional and higher dimensional cases. We propose a nonlinear feedback law and present some stability results. These results show that for period 1 all hyperbolic periodic orbits can be stabilized with the proposed method. By restricting the gain matrix to a special form we obtain some novel stability results. The stability proofs also give the possible feedback gains which achieve stabilization. We also present some simulation results.EnglishChaotic systemsDelayed feedback systemPyragas controllerStabilityChaos controlDiscrete-time chaotic systemsHigher-dimensionalStabilization problemsUnstable periodic orbitsConvergence of numerical methodsStabilizationConference Paper10.3182/20120620-3-MX-3012.00004