Introduction

Singular Markovian jump systems (SMJSs) are very pertinent to describe singular systems experiencing abrupt changes. In the past decades, it has been one of the major research areas in control field because of their extensive applications in many practical systems such as economic systems, robotics, aircraft control, electrical and mechanical models, etc. This chapter gives a brief introduction to singular systems. The past and current research on both singular systems and Markovian jump systems is reviewed. A general model named as singular Markovian jump systems which contain singular systems and Markovian jump systems as special cases, is introduced. Then, state-space representation of SMJSs is described and a few examples are presented. Finally, an overview of the monograph is given.