Verification of Hybrid Systems

Hybrid systems are models which combine discrete and continuous behavior. They occur frequently in safety-critical applications in various domains such as health care, transportation, and robotics, as a result of interactions between a digital controller and a physical environment. They also have relevance in other areas such as systems biology, in which the discrete dynamics arises as an abstraction of fast continuous processes. One of the prominent models is that of hybrid automata, where differential equations are associated with each node, and jump constraints such as guards and resets are associated with each edge.