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首页> 外文期刊>IEEE Transactions on Automatic Control >Canonical piecewise-linear approximation of smooth functions
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Canonical piecewise-linear approximation of smooth functions

机译：光滑函数的规范分段线性近似

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This paper deals with the approximation of smooth functions using canonical piecewise-linear functions. The developing of tools in the field of analysis and control of nonlinear systems based on this kind of functions, as well as its efficiency in the representation of electronic devices, motivates the development of useful methods to obtain accurate aproximations. A recursive method is proposed to obtain simultaneously all the parameters required and its convergence is studied. In addition, aniterative method to introduce new partitions on the domain, when the error obtained is not satisfactory, is described. This method takes advantage of the partitions already found to reduce the total number of parameters that the algorithm has to handle.
机译：本文涉及使用规范分段线性函数的光滑函数的近似。基于这种功能的非线性系统分析和控制领域的工具的开发，以及它在电子设备表示方面的效率，激发了开发有用的方法来获得准确的近似值。该文提出一种递归方法，可同时获取所有所需参数，并研究其收敛性。此外，还描述了在域上引入新分区的动画方法，当获得的错误不令人满意时。此方法利用已找到的分区来减少算法必须处理的参数总数。

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