{ "id": "2403.15159", "version": "v1", "published": "2024-03-22T12:15:22.000Z", "updated": "2024-03-22T12:15:22.000Z", "title": "Near-optimal performance of stochastic economic MPC", "authors": [ "Jonas Schießl", "Ruchuan Ou", "Timm Faulwasser", "Michael H. Baumann", "Lars Grüne" ], "categories": [ "math.OC" ], "abstract": "This paper presents first results for near optimality in expectation of the closed-loop solutions for stochastic economic MPC. The approach relies on a recently developed turnpike property for stochastic optimal control problems at an optimal stationary process, combined with techniques for analyzing time-varying economic MPC schemes. We obtain near optimality in finite time as well as overtaking and average near optimality on infinite time horizons.", "revisions": [ { "version": "v1", "updated": "2024-03-22T12:15:22.000Z" } ], "analyses": { "keywords": [ "stochastic economic mpc", "near-optimal performance", "stochastic optimal control problems", "optimality", "infinite time horizons" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }