Hybrid systems arise in applications such as chemical process control, air traffic management systems, and robotics. As today's automated systems grow in scale and complexity, performance and meeting desired design specifications become top priorities. This book fulfills the ever present need to examine and solve problems in both academic and real-life arenas. The book focuses on formal verification and synthesis of hybrid systems, important issues in system design that present a host of difficulties. To help the reader gain a greater understanding of these complexities, the authors solve problems in a step-by-step process, using algorithms and data structures. It is the first book to emphasize the algorithmic aspects of hybrid systems analysis. Features and Topics include: * A unique computer science perspective that emphasizes the algorithmic aspects of hybrid systems analysis * Implementation of d/dt software tools to solve specific real-world problems * Little prerequisite material is needed other than basic automata theory and differential equations (The parts of these theories that are used are also explained within the book) Researchers, graduate/post-graduate students and professionals in control engineering, applied mathematics, and theoretical computer science will profit from the state-of-the-art concepts, problem-solving methods, and new research found here.