Irredundant lattice representations of continuous piecewise affine functions

Automatica ◽  
2016 ◽  
Vol 70 ◽  
pp. 109-120 ◽  
Author(s):  
Jun Xu ◽  
Ton J.J. van den Boom ◽  
Bart De Schutter ◽  
Shuning Wang
Keyword(s):  
Piecewise Affine ◽  
Affine Functions ◽  
Piecewise Affine Functions

Circuit implementation of piecewise-affine functions based on a binary search tree

2009 ◽  
Author(s):  
Alberto Oliveri ◽  
Andrea Oliveri ◽  
Tomaso Poggi ◽  
Marco Storace
Keyword(s):  
Search Tree ◽  
Binary Search ◽  
Binary Search Tree ◽  
Circuit Implementation ◽  
Piecewise Affine ◽  
Affine Functions ◽  
Piecewise Affine Functions

Piecewise Affine Functions, Sturmian Sequences and Wang Tiles

2016 ◽  
Vol 145 (3) ◽  
pp. 257-277
Author(s):  
Jarkko Kari
Keyword(s):  
Piecewise Affine ◽  
Wang Tiles ◽  
Affine Functions ◽  
Piecewise Affine Functions ◽  
Sturmian Sequences

Minimal Conjunctive Normal Expression of Continuous Piecewise Affine Functions

2016 ◽  
Vol 61 (5) ◽  
pp. 1340-1345 ◽  
Author(s):  
Jun Xu ◽  
Ton J. J. van den Boom ◽  
Bart De Schutter ◽  
Xiong-Lin Luo
Keyword(s):  
Piecewise Affine ◽  
Normal Expression ◽  
Affine Functions ◽  
Piecewise Affine Functions

FPGA Implementations of Piecewise Affine Functions Based on Multi-Resolution Hyperrectangular Partitions

2012 ◽  
Vol 59 (12) ◽  
pp. 2920-2933 ◽  
Author(s):  
F. Comaschi ◽  
B. A. G. Genuit ◽  
A. Oliveri ◽  
W. P. M. H. Heemels ◽  
M. Storace
Keyword(s):  
Piecewise Affine ◽  
Affine Functions ◽  
Piecewise Affine Functions

Piecewise affine functions as a difference of two convex functions

Optimization ◽  
1987 ◽  
Vol 18 (1) ◽  
pp. 23-29 ◽  
Author(s):  
Anita Kripfganz ◽  
R. Schulze
Keyword(s):  
Convex Functions ◽  
Piecewise Affine ◽  
Affine Functions ◽  
Piecewise Affine Functions
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