Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints
نویسندگان
چکیده
منابع مشابه
Sufficient Second-Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control-State Constraints
An optimal control problem for an semilinear elliptic equation is investigated, where pointwise constraints are given on the control and the state. The state constraints are of mixed (bottleneck) type, where associated Lagrange multipliers can assumed to be bounded and measurable functions. Based on this property, a second-order sufficient optimality condition is established that considers stro...
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Abstract. Second-order sufficient optimality conditions are established for the optimal control of semilinear elliptic and parabolic equations with pointwise constraints on the control and the state. In contrast to former publications on this subject, the cone of critical directions is the smallest possible in the sense that the second-order sufficient conditions are the closest to the associat...
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ژورنال
عنوان ژورنال: SIAM Journal on Optimization
سال: 2006
ISSN: 1052-6234,1095-7189
DOI: 10.1137/050625850