Abstract

Inspired by [He94], a language to describe hybrid systems, i.e. networks of communicating discrete and continuous processes, is proposed. A semantics of the language is given in Extended Duration Calculus [ZRH93], a real-time interval logic with a proof system that allows reasoning in mathematical analysis about continuous processes to be embedded into the logic. The semantics thus provides a secure link to hybrid system models based on a general theory of dynamical systems.

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