Literature Review

Hybrid Systems: Who, What, When?

In this chapter, we review existing literature on hybrid systems that is related to this work. This is carried out by first considering three specific approaches to viability of hybrid systems, these being due to Nerode and colleagues, Aubin and colleagues and Deshpande–Varaiya. This review is carried out in Sections 2.1–Section 2.3. In Section 2.4, literature related specifically to Chapters 3–8 is then reviewed. Some concluding remarks are made in Section 2.5. Given that hybrid systems is a field that encompasses a variety of problem domains and disciplines, there exists a vast body of related work. Although we do provide some general overview of the field, we will focus on approaches to hybrid systems, and in particular their control, that have the most direct impact on this work.