Verification of control properties in the polyhedral model

Abstract

We propose a combination of heuristic methods to prove properties of control signals for regular systems defined by means of affine recurrence equations (AREs). We benefit from the intrinsic regularity of the polyhedral model to handle parameterized systems in a symbolic way. Despite some restrictions on the form of equations we are able to handle, our techniques apply well for a useful set of properties and led us to discover some errors in actual systems. These techniques have been implemented in the MMALPHA environment.