Abstract:We propose convex controller synthesis algorithms for a class of stochastic differential equations (SDEs) with persistent noise. This includes SDEs in which the noise does not vanish at the equilibria of the system. Our performance criterion is Noise-to-State Stability (NSS) in the moments, which is a generalization of the input-to-state stability (ISS) for SDEs. We formulate synthesis algorithms that, in addition to guaranteeing asymptotic convergence in the case of zero input noise, ensure that an upper boun… Show more
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