Morgül, Ömer2016-02-082016-02-0820030191-2216http://hdl.handle.net/11693/27509Date of Conference: 9-12 December 2003Conference Name: 42nd IEEE International Conference on Decision and Control, IEEE 2003We consider the delayed feedback control (DFC) scheme for one dimensional discrete time systems. To analyze the stability, we construct a map whose fixed points correspond to the periodic orbits of the system to be controlled. Then the stability of the DFC is equivalent to the stability of the corresponding equilibrium point of the constructed map. We obtain a formula for the characteristic polynomial of the Jacobian of this map. Then the Schur stability of this polynomial could be used to analyze the stability of DFC. We also present some simulation results.EnglishChaos controlDelayed feedback systemPyragas controllerStabilityChaos theoryComputer simulationDiscrete time control systemsMathematical modelsPolynomialsDelayed feedback control (DFC)Feedback controlA stability result for delayed feedback controllersConference Paper10.1109/CDC.2003.1272890