In this paper the sensitivity of optimal solutions to control problems described by second order evolution subdifferential inclusions under perturbations of state relations and of cost functionals is investigated. First we establish a new existence result for a class of such inclusions. Then, based on the theory of sequential \(\Gamma \)-convergence we recall the abstract scheme concerning convergence of minimal values and minimizers. The abstract scheme works provided we can establish two properties: the Kuratowski convergence of solution sets for the state relations and some complementary \(\Gamma \)-convergence of the cost functionals. Then these two properties are implemented in the considered case.

中文翻译：

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二阶演化亚微分包含问题控制问题的最佳解的灵敏度。

本文研究了在状态关系和成本函数扰动下由二阶演化亚微分包含描述的控制问题的最优解的敏感性。首先，我们为此类包含物建立新的存在结果。然后，基于顺序\（\ Gamma \）-收敛的理论，我们回想起涉及最小值和最小值的收敛的抽象方案。抽象方案的工作是，我们可以建立两个属性：状态关系的解集的Kuratowski收敛和成本函数的一些补充\（\ Gamma \）-收敛。然后在考虑的情况下实现这两个属性。