Title :
The complete canonical piecewise-linear representation: functional form for minimal degenerate intersections
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Univ. of California, Berkeley, CA, USA
fDate :
3/1/2003 12:00:00 AM
Abstract :
In this paper, we develop a functional form for canonical piecewise-linear (CPWL) functions defined over a minimal degenerate intersection of order k. This type of intersection is known to be the building block of CPWL representations. Accordingly, the representation proposed is the main component in a general CPWL representation and constitutes the first functional form that is valid in a domain that has arbitrary dimension and is subdivided by a generic partition.
Keywords :
functions; modelling; piecewise linear techniques; set theory; canonical PWL representations; canonical piecewise-linear representation; functional form; minimal degenerate intersections; modeling; piecewise-linear approximation; Circuits; Concrete; Piecewise linear techniques; Vectors;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
DOI :
10.1109/TCSI.2003.808904
