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Differential stability of a class of convex optimal control problems

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arxiv 1707.03955 v1 pith:3SOSGGVT submitted 2017-07-13 math.OC

Differential stability of a class of convex optimal control problems

classification math.OC
keywords optimalcontrolconvexdifferentialstabilitystatesubdifferentialclass
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A parametric constrained convex optimal control problem, where the initial state is perturbed and the linear state equation contains a noise, is considered in this paper. Formulas for computing the subdifferential and the singular subdifferential of the optimal value function at a given parameter are obtained by means of some recent results on differential stability in mathematical programming. The computation procedures and illustrative examples are presented.

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