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 …

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

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 …

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 …

In this paper we investigate the use of incremental passivity concepts for the design of
nonlinear global regulators. For a specific class of systems and exosystems we show how …

We investigate the incremental stability properties of Ito stochastic dynamical systems.
Specifically, we derive a stochastic version of nonlinear contraction theory that provides a …

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 …

Because contraction analysis stems from a differential and incremental framework, the
nature and methodology of contraction-based proofs are significantly different from those of …

Convergent systems constitute a practically important class of nonlinear systems that
extends the class of asymptotically stable linear time-invariant systems. In this note, we …

Efficiently computable stability and performance analysis of nonlinear systems becomes
increasingly more important in practical applications. Dissipativity can express stability and …