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 …

Hybrid systems, that is, heterogeneous systems that include discrete and continuous time
subsystems, have been used to model applications in automotive such as engine, brake …

This article deals with stability of continuous-time switched systems under constrained
switching. Given a family of systems, possibly containing unstable dynamics, we …

We present an approach for designing asymptotic observers for discrete-time switched
linear systems. We first give an automata theoretic characterization of switching signals …

This article deals with stability of discrete-time switched systems. Given a family of nonlinear
systems and the admissible switches among the systems in the family, we first propose a …

In this work, we address the feedback stabilization problem for discrete-time reversible
switched linear control systems. We focus on the question “how many state feedback gain …

This work presents a solution for the output regulation problem with quadratic stability under
arbitrary switching in linear switching systems. The extension to other stability requirements …

This paper presents novel stabilizability conditions for switched linear systems with arbitrary
and uncontrollable underlying switching signals. We distinguish and study two particular …

The paper presents realization theory of discrete-time linear switched systems. We present
necessary and sufficient conditions for an input–output map to admit a discrete-time linear …