Conference PaperPeak Estimation for Uncertain and Switched SystemsMiller, Jared; Henrion, Didier; Sznaier, Mario; Korda, MilanPeak estimation bounds extreme values of a function of state along trajectories of a dynamical system. This paper focuses on extending peak estimation to continuous and discrete settings with time-independent and time-dependent uncertainty. Techniques from optimal control are used to incorporate uncertainty into an existing occupation measure-based peak estimation framework, which includes special consideration for handling switching-type (polytopic) uncertainties. The resulting infinite-dimensional linear programs can be solved approximately with Linear Matrix Inequalities arising from the moment-SOS hierarchy.2021-12-141034942360th IEEE Conf. Decision and Control3222 to 3228https://doi.org/10.1109/CDC45484.2021.96837781808381; 1646121; 2038493National Science Foundation