Veri cation of Analog and Mixed-Signal Circuits using Hybrid System Techniques

In this paper we demonstrate a potential extension of formal veri cation methodology in order to deal with analog and mixed-signal circuits. In particular, we focus on verifying time-domain properties. The time-dependent behavior of an analog circuit can be described by a system of di erential algebraic equations. To analyze such circuits under all possible input signals and all values of parameters, we extend the reachability analysis techniques developed in the context of hybrid (discrete-continuous) control systems [4]. Moreover, these techniques can be readily applied to the veri cation of mixed-signal circuits since hybrid systems can naturally be used as a mathematical model for such circuits.