B. De Schutter, W.P.M.H. Heemels, J. Lunze, and C. Prieur, "Survey of modeling, analysis, and control of hybrid systems," Chapter 2 in Handbook of Hybrid Systems Control - Theory, Tools, Applications (J. Lunze and F. Lamnabhi-Lagarrigue, eds.), Cambridge, UK: Cambridge University Press, ISBN 978-0-521-76505-3, pp. 31-55, 2009.
An overview of various modeling frameworks for hybrid systems is given followed by a comparison of the modeling power and the model complexity, which can serve as a guideline for choosing the right model for a given analysis or control problem with hybrid dynamics. Then, the main analysis and design tasks for hybrid systems are surveyed together with the methods for their solution, which will be discussed in more detail in subsequent chapters.