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 …

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 …

The study of the stability properties of switched and hybrid systems gives rise to a number of
interesting and challenging mathematical problems. The objective of this paper is to outline …

In this volume the important concept of switched and impulsive control is discussed, with a
wide field of applications in the analysis and control of complex systems. This monograph …

This paper is concerned with the study of, both local and global, uniform asymptotic stability
for general nonlinear and time-varying switched systems. Two concepts of Lyapunov …

Several important problems in control theory can be reformulated as semidefinite
programming problems, ie, minimization of a linear objective subject to linear matrix …

In this paper, both the asymptotic stability and l∞ persistent disturbance attenuation issues
are investigated for a class of networked control systems (NCSs) under bounded uncertain …

We introduce an algorithm for synthesizing and verifying piecewise linear Lyapunov
functions to prove global exponential stability of piecewise linear dynamical systems. The …

We present constructions of a local and global common Lyapunov function for a finite family
of pairwise commuting globally asymptotically stable nonlinear systems. The constructions …