Modeling of Timing Constraints in Hybrid Systems Using Event-B

Hybrid and cyber-physical systems pose new challenges for formal construction of systems. In hybrid systems, the states evolve over continuous time according to related laws of continuous and discrete dynamics. Thus, timing constraints and synchronous signals play important roles. Moreover, in the development of complex hybrid systems, refinement, and composition of timing constraints are in need. However, the existing formal approaches of Event-B have difficulties in refinement and composition of hybrid systems. Therefore, in this article, we propose a formal hybrid approach to solve this problem. Our approach of modeling is based on the Event-B method, and uses the Rodin platform and its plugin Theory.