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# A nonsmooth maximum principle for optimal control problems with state and mixed constraints - convex case

• Here we derive a nonsmooth maximum principle for optimal control problems with both state and mixed constraints. Crucial to our development is a convexity assumption on the "velocity set". The approach consists of applying known penalization techniques for state constraints together with recent results for mixed constrained problems.
Mathematics Subject Classification: Primary: 49K15, 49K30; Secondary: 34A60.

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