%0 Journal Article
%T Commutativity of systems with their feedback conjugates
%A Mehmet Emir Koksal
%J Transactions of the Institute of Measurement and Control
%@ 1477-0369
%D 2019
%R 10.1177/0142331218765615
%X After introducing commutativity concept and summarizing the relevant literature, this work is focused on the commutativity of feedback conjugates. It is already known that a linear time-varying differential system describing a single input-single output dynamical system is always commutative with its constant gain feedback pairs. In this article, it is proven that among the time-varying feedback conjugates of a linear time-varying system, constant feedback conjugates are the only commutative feedback pairs and any of the time-varying feedback conjugates cannot constitute a commutative pair of a linear time-varying system
%K Commutativity
%K feedback
%K time-varying systems
%K linear systems
%K robust control
%U https://journals.sagepub.com/doi/full/10.1177/0142331218765615