We investigate existence and structure of solutions to quadratic control problems with semiexplicit differential-algebraic constraints as they appear in the modeling of flows. We introduce a decoupled representation of the state and the formal adjoint equations to identify the conditions for the existence of solutions. We derive a differential-algebraic Riccati equation formulated in the original coefficients for the efficient numerical computation of the optimal solution.
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Jan Heiland (2016) studied this question.
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