Search-Trajectory Optimization: Part I, Formulation and Theory

被引:0
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作者
Joseph Foraker
Johannes O. Royset
Isaac Kaminer
机构
[1] U.S. Naval Academy,
[2] Naval Postgraduate School,undefined
[3] Naval Postgraduate School,undefined
关键词
Search theory; Continuous time-and-space search; Consistent approximations; Parameter-distributed optimal control ; Force protection; 49K15; 49M15; 49M25;
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摘要
We formulate a search-trajectory optimization problem, with multiple searchers looking for multiple targets in continuous time and space, as a parameter-distributed optimal control model. The problem minimizes the probability that all of the searchers fail to detect any of the targets during a planning horizon. We construct discretization schemes and prove that they lead to consistent approximations in the sense of E. Polak.
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页码:530 / 549
页数:19
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