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An exactl(1)penalty function method for a multitime control optimization problem with data uncertainty

机译:具有数据不确定性的Multimime控制优化问题的Exactl(1)惩罚功能方法

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摘要

In this article, we study the robust solution set of a multitime first-order PDE constrained control optimization problem with data uncertainty (MCOPU) and an unconstrained multitime control optimization problem (MCOPU)(rho). We establish the equivalence between a robust optimal solution of (MCOPU) and a robust minimizer of (MCOPU)(rho)under the appropriate assumptions. Furthermore, we define the uncertain Lagrange functional for (MCOPU) and show the relationship between the robust solution set of (MCOPU) and (MCOPU)(rho)under the convexity hypothesis of uncertain Lagrange functional. Moreover, we present some nontrivial examples to illustrate the established results.
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