Asymptotic Hyperstability of a Class of Linear Systems under Impulsive Controls Subject to an Integral Popovian Constraint

Abstract EN

This paper is focused on the study of the important property of the asymptotic hyperstability of a class of continuous-time dynamic systems.

The presence of a parallel connection of a strictly stable subsystem to an asymptotically hyperstable one in the feed-forward loop is allowed while it has also admitted the generation of a finite or infinite number of impulsive control actions which can be combined with a general form of nonimpulsive controls.

The asymptotic hyperstability property is guaranteed under a set of sufficiency-type conditions for the impulsive controls.