Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints
Roland Griesse, Nataliya Metla, Arnd Rösch (2010)
Control and Cybernetics
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Roland Griesse, Nataliya Metla, Arnd Rösch (2010)
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The goal of this paper is to prove the first and second order optimality conditions for some control problems governed by semilinear elliptic equations with pointwise control constraints and finitely many equality and inequality pointwise state constraints. To carry out the analysis we formulate a regularity assumption which is equivalent to the first order optimality conditions. Though the presence of pointwise state constraints leads to a discontinuous adjoint state, we prove that...