Title :
A canonical representation of high-dimensional continuous piecewise-linear functions
Author :
Li, Xingye ; Wang, Shuning ; Yin, Wenjun
Author_Institution :
Dept. of Autom., Tsinghua Univ., Beijing, China
fDate :
11/1/2001 12:00:00 AM
Abstract :
A canonical representation of high-dimensional continuous piecewise-linear (PWL) functions has not been perfectly solved until now. In this brief, a constructive model of high-dimensional continuous PWL functions is proposed by using an iterative method and it is proved that the model can represent all high-dimensional continuous PWL functions
Keywords :
iterative methods; multidimensional systems; nonlinear network analysis; nonlinear systems; piecewise linear techniques; canonical representation; constructive model; high-dimensional continuous piecewise-linear functions; iterative method; n-dimensional functions; nesting absolute value representation; Automation; Circuits; Equations; Iterative methods; Piecewise linear techniques; Two dimensional displays;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
