Simulations can help enhance confidence in system designs but they provide almost no formal guarantees. In this paper, we present a simulation-based verification framework for embedded systems described by non-linear, switched systems. In our framework, users are required to annotate the dynamics in each control mode of switched system by something we call a discrepancy function that formally measures the nature of trajectory convergence/divergence of the system. Discrepancy functions generalize other measures of trajectory convergence and divergence like Contraction Metrics and Incremental Lyapunov functions. Exploiting such annotations, we present a sound and relatively complete verification procedure for robustly safe/unsafe systems. We have built a tool based on the framework that is integrated into the popular Simulink/Stateflow modeling environment. Experiments with our prototype tool shows that the approach (a) outperforms other verification tools on standard linear and non-linear benchmarks, (b) scales reasonably to larger dimensional systems and to longer time horizons, and (c) applies to models with diverging trajectories and unknown parameters.
In REF , a simulation-based verification framework is firstly presented for nonlinear switched systems, in which users are required to annotate the dynamics in each control mode by a discrepancy function that formally measures the nature of trajectory convergence/divergence of the system.
Verification of annotated models from executions
2013 Proceedings of the International Conference on Embedded Software (EMSOFT)
2013 Proceedings of the International Conference on Embedded Software (EMSOFT)
Computer Science