Transitivity of Commutativity for Second-Order Linear Time-Varying Analog Systems

Abstract

It is proven that the transitivity property of commutativity is always valid for second-order linear time-varying analog systems whether their initial states are zero or not. Throughout the study, it is assumed that the subsystems considered cannot be obtained from each other by any feed-forward and feedback structure. The results are well validated by MATLAB simulations. © 2018, Springer Science+Business Media, LLC, part of Springer Nature.