This book constitutes the refereed proceedings of the International Workshop on Hybrid and Real-Time Systems, HART'97, held in Grenoble, France, in March 1997. The volume presents 18 revised full papers and 9 short presentations carefully selected during a highly competitive evaluation process; also included are full versions or abstracts of 7 invited papers or tutorials. Hybrid Systems consist of digital devices interacting with analog environments; thus the emerging area lies at the crossroads of computer science and control theory. This book focusses on mathematically sound methods for the rigorous and systematic design and analysis of hybrid systems and real-time systems.