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arXiv · 2109.12420

Verification of Switched Stochastic Systems via Barrier Certificates

Mahathi Anand·Pushpak Jagtap·Majid Zamani
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Abstract

The paper presents a methodology for temporal logic verification of continuous-time switched stochastic systems. Our goal is to find the lower bound on the probability that a complex temporal property is satisfied over a finite time horizon. The required temporal properties of the system are expressed using a fragment of linear temporal logic, called safe-LTL with respect to finite traces. Our approach combines automata-based verification and the use of barrier certificates. It relies on decomposing the automaton associated with the negation of specification into a sequence of simpler reachability tasks and compute upper bounds for these reachability probabilities by means of common or multiple barrier certificates. Theoretical results are illustrated by applying a counter-example guided inductive synthesis framework to find barrier certificates.

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Mahathi Anand, Pushpak Jagtap, Majid Zamani. 2021-09-25. Verification of Switched Stochastic Systems via Barrier Certificates. https://doi.org/10.1109/cdc40024.2019.9028862.

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