At the occasion of Eduardo D. Sontag's 70th birthday, we provide here an overview of the
tools available to study input-to-state stability (ISS) and related notions for time-delay …

Much recent progress has been achieved for stabilization of linear and nonlinear systems
with input delays that are long and dependent on either time or the plant state—provided the …

In this paper, the semi-global exponential stability of semi-Markov jump systems with
distributed delay under semi-global sampling control is studied. Besides, a new definition of …

A new small-gain theorem is presented for general non-linear control systems and can be
viewed as unification of previously developed non-linear small-gain theorems for systems …

Nonlinear systems with time delays have been object of intense investigation in the last
decades for their ability of capturing the behavior of many natural and engineering systems …

In this article, we show that the existence of a Lyapunov–Krasovskii functional is necessary
and sufficient condition for the uniform global asymptotic stability and the global exponential …

In this article, we provide several characterizations of integral input-to-state stability (iISS) of
time-delay systems. These characterizations differ in the way the considered Lyapunov …

In this work characterizations of external notions of output stability for uncertain time-varying
systems described by retarded functional differential equations are provided. Particularly …

The paper shows that the global exponential stability property is preserved, under suitably
fast sampling and small input-delay, whenever the dynamics of the time-delay system at …

In this paper, we present Lyapunov characterizations of the global asymptotic stability, the
input-to-state stability (ISS), and the incremental input-to-state stability (δ-ISS) for discrete …