arxiveess.SYmath.OC2026-07-10
On robustness, input-to-state stability and backstepping for stochastic differential equations
Robert H. Moldenhauer, Dragan Nešić, Mathieu Granzotto, Romain Postoyan, Andrew R. Teel
We study conditions under which stability of the origin of stochastic differential equations is robust to small perturbations. We express robustness in two ways, firstly in the sense that stochastic stability is maintained under small parametric perturbations not exceeding a stat…