A generalized canonical piecewise-linear representation

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-v...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on circuits and systems Vol. 37; no. 3; pp. 373 - 383
Main Authors Kahlert, C., Chua, L.O.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.03.1990
Institute of Electrical and Electronics Engineers
Subjects
Applied sciences
Circuit analysis
Circuit analysis computing
Circuit theory
Circuits and systems
Concrete
Counting circuits
Electric, optical and optoelectronic circuits
Electronics
Exact sciences and technology
Manifolds
Nonlinear circuits
Nonlinear equations
Piecewise linear techniques
Theoretical study. Circuits analysis and design
Piecewise linear function
Two dimensional model
Representation
Jacobi matrix
Canonical form
Circuit theory
Online AccessGet full text
ISSN0098-4094
DOI10.1109/31.52731

Cover

More Information
Summary: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.< >
ISSN:0098-4094
DOI:10.1109/31.52731