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Strong local optimality conditions for control problems with mixed state-control constraints

机译:具有混合状态控制约束的控制问题的强局部最优条件

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摘要

In this paper first- and second-order optimality conditions for strong local minimum are presented for optimal control problems with mixed state and control inclusion and equality constraints. The first-order condition is of Pontryagin type, while the second-order condition is of the form of an accessory problem associated with the strong local minimality. This latter condition contains an extra term reflecting the presence of the mixed state-control constraints.
机译:在本文中,提出了强大的局部最小值的第一和二阶最优性条件,以获得混合状态和控制夹杂物和平等约束的最佳控制问题。一阶条件是pontryagin类型,而二阶条件是与强大局部最小值相关的辅助问题的形式。后一种条件包含一个额外的术语,反映了混合状态控制约束的存在。

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