Abstract
AbstractReachability analysis of dynamical models is a relevant problem that has seen much progress in the last decades, however with clear limitations pertaining to the nature of the dynamics and the soundness of the results. This article focuses on sound safety verification of unbounded-time (infinite-horizon) linear time-invariant (LTI) models with inputs using reachability analysis. We achieve this using counterexample-guided Abstract Acceleration: this approach over-approximates the reachability tube of the LTI model over an unbounded time horizon by using abstraction, possibly finding concrete counterexamples for refinement based on the given safety specification. The technique is applied to a number of LTI models and the results show robust performance when compared to state-of-the-art tools.
Funder
Alan Turing Institute
European Research Council
Engineering and Physical Sciences Research Council
Horizon 2020 Framework Programme
Publisher
Springer Science and Business Media LLC
Subject
Artificial Intelligence,Computational Theory and Mathematics,Software
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