barrier certificates

Encoding Inductive Invariants as Barrier Certificates
We present the invariant barrier-certificate condition that witnesses unbounded-time safety of differential dynamical systems. The …
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Encoding Inductive Invariants as Barrier Certificates
Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming
A barrier certificate often serves as an inductive invariant that isolates an unsafe region from the reachable set of states, and hence …
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Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming
Unbounded-Time Safety Verification of Stochastic Differential Dynamics
In this paper, we propose a method for bounding the probability that a stochastic differential equation (SDE) system violates a safety …
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Unbounded-Time Safety Verification of Stochastic Differential Dynamics