Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics
Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics
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DOI：
10.1108/k.2002.06731eae.002
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发表时间：
2002-07
期刊：
影响因子：
2.5
通讯作者：
A. Andrew
中科院分区：
文献类型：
--
作者：
A. Andrew
术语“区间分析”表示数值计算的一般和独特的方法，具有广泛的应用领域。因此，这是一个显着的入侵到什么似乎是一个很好的探索领域。(The”间隔”一词可能意味着时间间隔，但这是误导。事件间时间间隔的统计分析也可能很有趣，但不是主题。该方法的基础最早出现在1962年的一篇博士论文中，但直到20年后才受到广泛关注。该方法依赖于对感兴趣的多维空间进行分区，以产生二维空间中的矩形区域或三维空间中的盒子等。空间的划分并不像系统网格那样详尽无遗，而且”间隔”的大小可以根据问题的不同而有所不同。
The term" Interval Analysis" denotes a general and distinctive approach to numerical computation, having wide-ranging areas of application. As such it is a remarkable intrusion into what has seemed to be a well-explored field.(The word" interval" may suggest time intervals, but this is misleading. Analysis of statistics of inter-event time intervals could also be interesting, but is not the topic.) The basis of the method appeared first in a doctoral thesis in 1962, but did not receive widespread attention until twenty years later.The method depends on the partitioning of the multidimensional space of interest to produce areas that are rectangles in 2D space, or boxes in 3D, etc. The term" interval" is only fully descriptive in the single-dimensional case. The partitioning of the space is not exhaustive, as with systematic gridding, and the" intervals" can vary in size, in a pattern chosen to suit the problem.