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Optimal Control Involving Sweeping Processes

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We present existence of solution and necessary conditions for an optimal control problem with a particular case of sweeping processes with constant sweeping set. Using a sequence of approximating problems… Click to show full abstract

We present existence of solution and necessary conditions for an optimal control problem with a particular case of sweeping processes with constant sweeping set. Using a sequence of approximating problems we prove existence of solution and necessary conditions. The special feature of our approach resides on the nature of the approximating problems: in contrast with other literature these problems do not rely on distance functions to the sweeping set.

Keywords: sweeping processes; control involving; optimal control; involving sweeping

Journal Title: Set-Valued and Variational Analysis
Year Published: 2018

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