Title :
Commutativity of time-varying systems
Author_Institution :
Uinversity of Bath, School of Mathematics, Bath, UK
Abstract :
Results are given concerning the commutativity of time-varying systems. It is shown that a constant-parameter dynamic system does not commute with a time-varying dynamic system. Conditions are derived for low-order time-varying systems to commute. A general condition for a set of time-varying systems to commute is the existence of a variable time scaling which reduces the time-varying systems to a set of constant-parameter systems.
Keywords :
time-varying systems; commutativity; constant parameter dynamic system; time varying systems;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19770388