In this paper we consider the class of discrete-time switched systems switching between p
autonomous positive subsystems. First, sufficient conditions for testing stability, based on the …

We introduce a novel framework for the stability analysis of discrete-time linear switching
systems with switching sequences constrained by an automaton. The key element of the …

We introduce the framework of path-complete graph Lyapunov functions for approximation
of the joint spectral radius. The approach is based on the analysis of the underlying switched …

Linear parameter-varying (LPV) systems are usually described in either state-space or input-
output form. When analyzing system equivalence between different representations it …

Using ergodic theory, in this paper we present a Gel'fand-type spectral radius formula which
states that the joint spectral radius is equal to the generalized spectral radius for a matrix …

For discrete-time polytopic linear parameter-varying systems, the uniform exponential
stability, which is equivalent to the asymptotic stability and includes the quadratic stability as …

We propose a novel Lyapunov construction for continuous-time switched systems relying on
a graph theoretical Lyapunov construction. Starting with a finite family of continuously …

A set of switching sequences of a discrete-time switched linear system is said to be uniformly
stabilizing if the system is uniformly exponentially stable over all switching sequences that …

We provide an exact solution to two performance problems-one of disturbance attenuation
and one of windowed variance minimization-subject to exponential stability. Considered are …

First, three different but related output regulation performance criteria for the linear time-
varying system are defined in the discrete-time domain, namely, the peak impulse response …