Absolute value representation of high-dimensional continuous piecewise linear functions

作     者：Li Xingye WANG Shuning WANG Wanbin 

作者机构：Department of Automation Tsinghua University Beijing 100084 China 

出 版 物：《自然科学进展(英文版)》 (PROGRESS IN NATURAL SCIENCE)

年 卷 期：2002年第12卷第1期

页      面：64-68页

核心收录：

学科分类：08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 081102[工学-检测技术与自动化装置] 

基　　金：国家自然科学基金(69974023  69934010) 

主　　题：piecewise linear function absolute value representation high dimensional space iterative method 

摘      要：An absolute value representation of continuous piecewise linear functions at high-dimensional space has not been perfectly solved till now. The representation is given by using an iterative method, based on the representation at one-dimensional space. Meanwhile, it is proven that the novel representation is available for all high dimensional continuous piecewise linear functions.