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arxiv: 1804.06937 · v1 · pith:X2CIUSLDnew · submitted 2018-04-18 · 🧮 math.OC

A sufficient optimality condition for non-linear delayed optimal control problems

classification 🧮 math.OC
keywords controloptimalconditiondelayednon-linearoptimalityproblemssufficient
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We prove a sufficient optimality condition for non-linear optimal control problems with delays in both state and control variables. Our result requires the verification of a Hamilton-Jacobi partial differential equation and is obtained through a transformation that allow us to rewrite a delayed optimal control problem as an equivalent non-delayed one.

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