Contemplating the Addition of Stochastic Behaviour to Hybrid Event-B

In real hybrid and cyber physical systems, noise is a onstant accompaniment to (and distraction from) the deterministic behaviour that is ideally desired. Nevertheless, most formalisms for such systems restrict to the deterministic realm. This also includes Hybrid Event-B, an extension of Event-B that caters for continuous behaviour as first class citizen. The incorporation of stochastic behaviour into Hybrid Event-B is investigated. Some essential elements of this enhancement are discussed, and a small case study is explored.