Title :
The structure of continuous piecewise-linear functions
Author :
Kahlert, Claus ; Chua, Leon O.
Abstract :
Continuous piecewise-linear functions from Rn to Rm are characterized by the geometry of their region boundaries. The notions of the nonlinearity component and of the order of boundary intersections are introduced. The theory developed makes it possible to determine the exact number of independent parameters for a given class of setups
Keywords :
boundary-value problems; nonlinear network analysis; piecewise-linear techniques; boundary intersections; continuous piecewise-linear functions; geometry; independent parameters; nonlinearity component; region boundaries; Chemistry; Computational geometry; Contracts; Jacobian matrices; Lab-on-a-chip; Nonlinear circuits; Optical computing; Piecewise linear techniques; Skeleton; Vectors;
Conference_Titel :
Circuits and Systems, 1990., IEEE International Symposium on
Conference_Location :
New Orleans, LA
DOI :
10.1109/ISCAS.1990.112254