Deals with several notions of incremental stability. In other words, the focus is on stability of
trajectories with respect to one another, rather than with respect to some attractor. The aim is …

To bridge the gap between theory and practice, the authors conclude with a presentation of
an experimental case study—one of the first in the field of nonlinear output regulation …

A wide variety of stability and performance questions about linear dynamical systems can be
reformulated as convex optimization problems involving linear matrix inequalities (LMIs) …

The primary aim of this paper is to investigate the practical interest of the incremental norm
approach for analysing (realistic) nonlinear dynamical systems. In this framework indeed …

Abstract this paper we extend the notion of convergent systems defined by BP Demidovich
and introduce the notions of uniformly, exponentially convergent and input-to-state …

Three similar convergence notions are considered. Two of them are the long established
notions of convergent dynamics and incremental stability. The other is the more recent …

In this paper convergence properties of piecewise affine (PWA) systems are studied. In
general, a system is called convergent if all its solutions converge to some bounded globally …

Contraction theory is a comparatively recent dynamic analysis and non-linear control system
design tool based on an exact differential analysis of convergence. This paper extends …

This paper studies asymptotic output synchronization for a class of dynamical networks with
identical nonlinear nodes and switching topology. The node dynamics are characterized by …

Incremental stability notions defined by means of comparison functions in a state-space
framework are further investigated. In particular, we provide a continuous converse …