Facetal Abstraction for Non-linear Dynamical Systems Based on delta-decidable SMT
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Proceedings |
| Conference | Proceedings of the 22Nd ACM International Conference on Hybrid Systems: Computation and Control |
| MU Faculty or unit | |
| Citation | |
| Web | http://dx.doi.org/10.1145/3302504.3311793 |
| Doi | http://dx.doi.org/10.1145/3302504.3311793 |
| Keywords | SMT solver; discrete abstraction; dynamical systems; hybrid systems |
| Description | Formal analysis of non-linear continuous and hybrid systems is a hot topic. A common approach builds on computing a suitable finite discrete abstraction of the continuous system. In this paper, we propose a facetal abstraction which eliminates certain drawbacks of existing abstractions. The states of our abstraction are built primarily from facets of a polytopal partitioning of the system's state space taking thus into account the flow of the continuous dynamics and leading to global over-approximation. The transition system construction is based on queries solved by a delta-decision SMT-solver. The method is evaluated on several case studies. |
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