Algebraic Calculi for Hybrid Systems

Hybrid systems --- heterogeneous systems characterised by the interaction of discrete and continuous dynamics --- are used to model safety critical systems. They have found widespread applications ranging from control systems to biological processes. This book aims at a compact treatment of verification tasks. It presents fundamental algebraic methods for the analysis of hybrid systems. Advantages that accrue by an algebraic approach are conciseness, clarity and simplicity; in particular with respect to (computer-aided) calculation rules. The suitability and the relevance of the theory is proved by first case studies.