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 …

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 …

In recent years, fractional-order differential operators, and the dynamic models constructed
based on these generalized operators have been widely considered in design and practical …

In this paper we deal with the problem of the stabilization in the sample-and-hold sense by
emulation of continuous-time dynamic output feedback controllers. Nonlinear time-delay …

This monograph presents some existing and new results on analysis and design of finite-
time and fixed-time converging systems. Two main groups of approaches for …

It is proved in this paper that the existence of a delay-dependent suitable Lyapunov function
is a necessary and sufficient condition for a discrete-time fully nonlinear time-delay system …

In this paper, we prove that the space generated by the solutions of a general class of first-
order hyperbolic PDEs is isomorphic to the space generated by the solutions of a difference …

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 …

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 …

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 …