Min-max model predictive control (MPC) is one of the few techniques suitable for robust
stabilization of uncertain nonlinear systems subject to constraints. Stability issues as well as …

In a pedagogical but exhaustive manner, this survey reviews the main results on input-to-
state stability (ISS) for infinite-dimensional systems. This property allows for the estimation of …

The analysis and design of nonlinear feedback systems has recently undergone an
exceptionally rich period of progress and maturation, fueled, to a great extent, by (1) the …

The notion of input-to-state stability (ISS) is now recognized as a central concept in
nonlinear systems analysis. It provides a nonlinear generalization of finite gains with respect …

The construction of strict Lyapunov functions is a challenging problem that is of significant
ongoing research interest. Although converse Lyapunov function theory guarantees the …

This paper deals with concepts of output stability. Inspired in part by regulator theory, several
variants are considered, which differ from each other in the requirements imposed upon …

The backstepping approach is adapted to the problem of globally uniformly asymptotically
stabilizing nonlinear systems in feedback form with a delay arbitrarily large in the input. The …

This paper presents necessary and sufficient characterizations of several notions of input to
output stability. Similar Lyapunov characterizations have been found to play a key role in the …

This expository paper deals with several questions related to stability and stabilization of
nonlinear finite-dimensional continuous-time systems. The topics covered include a review …

This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS)
property for nonlinear systems. The notion of IOSS is a natural generalization of the standard …