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arXiv · 1403.3524

Automata Theory Meets Barrier Certificates: Temporal Logic Verification of Nonlinear Systems

Tichakorn Wongpiromsarn·Ufuk Topcu·Andrew Lamperski
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Abstract

We consider temporal logic verification of (possibly nonlinear) dynamical systems evolving over continuous state spaces. Our approach combines automata-based verification and the use of so-called barrier certificates. Automata-based verification allows the decomposition the verification task into a finite collection of simpler constraints over the continuous state space. The satisfaction of these constraints in turn can be (potentially conservatively) proved by appropriately constructed barrier certificates. As a result, our approach, together with optimization-based search for barrier certificates, allows computational verification of dynamical systems against temporal logic properties while avoiding explicit abstractions of the dynamics as commonly done in literature.

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Tichakorn Wongpiromsarn, Ufuk Topcu, Andrew Lamperski. 2014-03-14. Automata Theory Meets Barrier Certificates: Temporal Logic Verification of Nonlinear Systems. https://arxiv.org/abs/1403.3524

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