On notions of input-to-output stability for nonlinear systems with time delays

Abstract

In this work we consider a variety of notions related to external stability, i.e., input-to-output stability, for nonlinear systems with time delays. As known for delay-free systems, there are different ways of defining precisely the notions of input-to-output stability that are intrinsically different from each other. The main objectives of this work are to illustrate the relations among the different notions of external stability for delay systems.