Title :
A generalized canonical piecewise-linear representation
Author :
Kahlert, Claus ; Chua, Leon O.
Author_Institution :
Inst. for Phys. & Theor. Chem., Tuebingen Univ., West Germany
fDate :
3/1/1990 12:00:00 AM
Abstract :
An extension of the well-known canonical representation for continuous piecewise-linear functions is introduced. This form is capable of describing all piecewise-linear functions in two dimensions, being no longer subject to any restrictions. Moreover, it is shown that just one nesting of absolute-value functions is sufficient to cover the whole class
Keywords :
nonlinear network analysis; piecewise-linear techniques; absolute-value functions; canonical piecewise-linear representation; continuous piecewise-linear functions; nonlinear circuits; Circuit analysis; Circuit analysis computing; Circuit theory; Circuits and systems; Concrete; Counting circuits; Manifolds; Nonlinear circuits; Nonlinear equations; Piecewise linear techniques;
Journal_Title :
Circuits and Systems, IEEE Transactions on