Remediability problem in linear time-varying systems with disturbances

Abstract

In this work, a class of time-varying linear perturbed systems in finite dimension are taken into
consideration. Examining the compensation problem for linear time-varying disturbed systems is the main goal
of this paper. The primary objective of remediability or compensation is to reject the effects of disturbances
on the system. We give the characterization results of remediability, and we demonstrate a rank condition
gives a sufficient condition that assures the remediability of our system. For the analytical case, remediability
is described. The relationship between controllability and remediability is also given, and various situations
are examined for different examples.