Trumpf, JochenTrentelman, Harry L.2021-04-270167-6911http://hdl.handle.net/1885/231048In the classical theory of finite-dimensional linear time-invariant systems in state space form the term deterministic separation principle refers to the observation that a stabilizing output feedback controller can be constructed by first constructing an asymptotic state observer that is then coupled to a stabilizing state feedback controller. In this paper we discuss the following converse problem: Can every stabilizing output feedback controller be realized as interconnection of an asymptotic state observer and a stabilizing state feedback controller? We will provide an affirmative answer to this question (modulo a number of technicalities) in a behavioral setting and with the help of rational representations.This work was supported in part by the Australian Research Council through the ARC Discovery Project DP120100316 Geometric observer theory for mechanical control systems.application/pdfen-AU© 2016 Elsevier B.Vhttp://creativecommons.org/licenses/by-nc-nd/4.0/Separation principleOutput feedbackLinear systemsBehavioral approach201710.1016/j.sysconle.2016.02.0212020-11-23CC BY-NC-ND