This paper provides a personal account of the small-gain theory as a tool for stability
analysis, control synthesis, and robustness analysis for interconnected uncertain systems. A …

Classical applications of control engineering and information and communication
technology (ICT) in production and logistics are often done in a rigid, centralized and …

In this paper, the input-to-state stability (ISS), integral-ISS (iISS) and stochastic-ISS (SISS)
are investigated for impulsive stochastic delayed systems. By means of the Lyapunov …

The use of comparison functions has become standard in systems and control theory,
particularly for the purposes of studying stability properties. The use of these functions …

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 …

This paper is devoted to two issues. The first one is to provide Lyapunov-based tools to
establish integral input-to-state stability (iISS) and input-to-state stability (ISS) for some …

This article presents a small-gain theorem for networks composed of a countably infinite
number of finite-dimensional subsystems. Assuming that each subsystem is exponentially …

For monotone systems evolving on the positive orthant of Rn+ two types of Lyapunov
functions are considered: Sum-and max-separable Lyapunov functions. One can be written …

For bilinear infinite-dimensional dynamical systems, we show the equivalence between
uniform global asymptotic stability and integral input-to-state stability. We provide two proofs …

Monotone systems preserve a partial ordering of states along system trajectories and are
often amenable to separable Lyapunov functions that are either the sum or the maximum of …