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

Strong local optimality conditions for control problems with mixed state-control constraints
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具有混合状态控制约束的控制问题的强局部最优条件

DOI:
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发表时间:
2002
期刊:
Proceedings of the 41st IEEE Conference on Decision and Control, 2002.
影响因子:
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通讯作者:
V. Zeidan
V. Zeidan
中科院分区:
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文献类型:
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作者:
Z. Páles;V. Zeidan

文献摘要

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本文给出了具有混合状态、控制包含和式约束的最优控制问题的一阶和二阶最优性条件。一阶条件为庞特里亚金型,二阶条件为与强局部极小性相关的辅助问题形式。后一个条件包含一个额外的项,反映了混合状态控制约束的存在。
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.