Second-Order Necessary/Sufficient Conditions for Optimal Control Problems in the Absence of Linear Structure
Second-Order Necessary/Sufficient Conditions for Optimal Control Problems in the Absence of Linear Structure
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DOI：
10.3934/dcdsb.2010.14.1445
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发表时间：
2010-08
期刊：
影响因子：
--
通讯作者：
H. Lou
中科院分区：
文献类型：
--
作者：
H. Lou
考虑了最优控制问题的二阶必要条件，其中“二阶”是指将庞特里亚金的极大值原理视为一阶必要最优性条件。给出了局部最小的一个充分条件。
Second-order necessary conditions for optimal control problems are considered, where the ``second-order" is in the sense of that Pontryagin's maximum principle is viewed as a first-order necessary optimality condition. A sufficient condition for a local minimizer is also given.