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Towards turnpike-based performance analysis of risk-avers...
[Submitted on 1 Apr 2025 (v1), last revised 12 Jun 2026 (this ve · 2026-06-15 · via math updates on arXiv.org

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Abstract:In this paper, we present performance estimates for stochastic economic MPC schemes with risk-averse cost formulations. For MPC algorithms with costs given by expectations, it was recently shown that the guaranteed near-optimal performance of abstract MPC in random variables coincides with its implementable variant using pathwise feedback. In general, this property does not extend to costs formulated in terms of risk measures. However, through a turnpike-based analysis, this paper demonstrates that for a particular class of risk measures, this result can still be leveraged to formulate an implementable risk-averse MPC scheme, resulting in near-optimal averaged performance.

Submission history

From: Jonas Schießl [view email]
[v1] Tue, 1 Apr 2025 12:09:01 UTC (2,411 KB)
[v2] Fri, 12 Jun 2026 09:39:48 UTC (701 KB)