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We derive a full Maximum Principle for a Banach \(L_{p}\) space case under the assumption that the state space and the space where the control functions take its values are uniformly convex and hence reflexive Banach spaces.

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Norm Optimal Control in Banach Spaces: The \(L_{p}\) Case

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  • 发表日期：

    2025年

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  • Paolo d’Alessandro

摘要

We derive a full Maximum Principle for a Banach \(L_{p}\) space case under the assumption that the state space and the space where the control functions take its values are uniformly convex and hence reflexive Banach spaces.