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 …

Variable-structure controls are normally understood to be controls that have sliding modes
and robustness as their main objective. In addition to sliding-mode controls, there are also …

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 …

The purpose of this paper is twofold:(a) to provide a tutorial introduction to some key
concepts from the theory of computational complexity, highlighting their relevance to …

Set invariance plays a fundamental role in the design of control systems for constrained
systems since the constraints can be satisfied for all time if and only if the initial state is …

We prove, in a constructive way, the equivalence between piecewise affine systems and a
broad class of hybrid systems described by interacting linear dynamics, automata, and …

In this chapter we study the solution to optimal control problems for discrete time linear
hybrid systems. First, we show that the closed form of the state feedback solution to finite …

This paper investigates the controllability and reachability of switched linear control systems.
It is proven that both the controllable and reachable sets are subspaces of the total space …

We present a detailed study on the design of decentralized receding horizon control (RHC)
schemes for decoupled systems. We formulate an optimal control problem for a set of …

This book is primarily a research monograph that presents in a unified man ner some recent
research on a class of hybrid dynamical systems (HDS). The book is intended both for …