A PINN trained on the stochastic Zubov equation, with SMT-based verification of the stochastic Lyapunov condition, produces formally certified probabilistic regions of attraction for stochastic systems.
Neural Lyapunov control
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Verifying Probabilistic Regions of Attraction with Neural Lyapunov Functions for Stochastic Systems
A PINN trained on the stochastic Zubov equation, with SMT-based verification of the stochastic Lyapunov condition, produces formally certified probabilistic regions of attraction for stochastic systems.