This paper introduces a methodology for differential nonlinear stability analysis using
contraction theory (Lohmiller and Slotine, 1998). The methodology includes four distinct …

Contraction theory is a recent tool enabling to study the stability of nonlinear systems
trajectories with respect to one another, and therefore belongs to the class of incremental …

Two similar stability notions are considered; one is the long established notion of convergent
systems, the other is the younger notion of incremental stability. Both notions require that …

Contraction analysis is a recent tool for analyzing the convergence behavior of nonlinear
systems in state-space form (see Lohmiller and Slotine [16] for the main reference) …

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 …

Contraction theory provides an elegant way to analyze the behaviors of certain nonlinear
dynamical systems. Under sometimes easy to check hypotheses, systems can be shown to …

Lyapunov's second theorem is an essential tool for stability analysis of differential equations.
The paper provides an analog theorem for incremental stability analysis by lifting the …

Customary stability analysis methods for nonlinear nonautonomous systems seem to require
a strict condition of uniform continuity. Although extensions of LaSalle's Invariance Principle …

This paper presents an approach towards deriving sufficient conditions for the stability of
nonlinear feedback systems. The central features of the approach are twofold. Firstly, useful …

We review and pay tribute to a result on convergent systems by the Russian mathematician
Boris Pavlovich Demidovich. In a sense, Demidovich's approach forms a prelude to a field …