We address the verification of hybrid systems built as the composition of a discrete software controller interacting with a physical environment exhibiting a continuous behavior. Our goal is to attack the problem of the combinatorial explosion of discrete states that may happen if a complex software controller is considered. We propose as a solution to extend an existing abstract interpretation technique, namely dynamic partitioning, to hybrid systems described in a symbolic formalism. Dynamic partitioning allows to finely tune the tradeoff between precision and efficiency in the analysis. We show the effectiveness of the approach by a case study that combines a non trivial controller specified in the synchronous dataflow programming language Lustre with its physical environment.