Drift and variant functions provide necessary and sufficient certificates for almost sure reachability in continuous-time SDEs, with SOS-based computation for polynomial systems.
Øksendal, Stochastic differential equations, in: Stochastic differential equations: an introduction with applications, Springer, 2003, pp
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Almost Sure Reachability in Continuous-time Stochastic Systems
Drift and variant functions provide necessary and sufficient certificates for almost sure reachability in continuous-time SDEs, with SOS-based computation for polynomial systems.