By a switched system, we mean a hybrid dynamical system consisting of a family of
continuous-time subsystems and a rule that orchestrates the switching between them. The …

This paper introduces the concept of a hybrid system and some of the challenges associated
with the stability of such systems, including the issues of guaranteeing stability of switched …

A comprehensive introduction to hybrid control systems and design Hybrid control systems
exhibit both discrete changes, or jumps, and continuous changes, or flow. An example of a …

l\lany systems encountered in practice involve a coupling between contin uous dynamics
and discrete events. Systems in which these two kinds of dynamics coexist and interact are …

We introduce some analysis tools for switched and hybrid systems. We first present work on
stability analysis. We introduce multiple Lyapunov functions as a tool for analyzing …

Properties of simple strategies for swinging up an inverted pendulum are discussed. It is
shown that the behavior critically depends on the ratio of the maximum acceleration of the …

This book is about dynamical systems that are" hybrid" in the sense that they contain both
continuous and discrete state variables. Recently there has been increased research …

In this paper we study the switching control of linear parameter-varying (LPV) systems using
multiple parameter-dependent Lyapunov functions to improve performance and enhance …

Stability and robustness issues for hybrid systems are considered in this paper. Present
stability results, that are extensions of classical Lyapunov theory, are not straightforward to …

This paper treats the following synthesis problem: given a switched linear system, how
should the linear vector fields be selected among the possible ones such that the switched …