Sufficient Second-Order Conditions for Bang-Bang Control Problems

نویسندگان

  • Eduardo Casas
  • Daniel Wachsmuth
  • Gerd Wachsmuth
چکیده

We provide sufficient optimality conditions for optimal control problems with bang-bang controls. Building on a structural assumption on the adjoint state, we additionally need a weak second-order condition. This second-order condition is formulated with functions from an extended critical cone, and it is equivalent to a formulation posed on measures supported on the set where the adjoint state vanishes. If our sufficient optimality condition is satisfied, we obtain a local quadratic growth condition in L1(Ω).

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عنوان ژورنال:
  • SIAM J. Control and Optimization

دوره 55  شماره 

صفحات  -

تاریخ انتشار 2017