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Stochastic Model Predictive Control, Iterated Function Systems, and Stability

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arxiv 2112.08138 v3 pith:YP4NS77U submitted 2021-12-15 math.OC

Vyacheslav Kungurtsev , Jakub Marecek , Robert Shorten This is my paper · ORCID
classification math.OC
keywords controlframeworkfunctioniteratedmodelpredictivestochasticsystems
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We present the observation that the process of stochastic model predictive control can be formulated in the framework of iterated function systems. The latter has a rich ergodic theory that can be applied to study the system's long-run behavior. We show how such a framework can be realized for specific problems and illustrate the required conditions for the application of relevant theoretical guarantees.

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