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...
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| Published in | IEEE transactions on circuits and systems Vol. 37; no. 3; pp. 373 - 383 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
New York, NY
IEEE
01.03.1990
Institute of Electrical and Electronics Engineers |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0098-4094 |
| DOI | 10.1109/31.52731 |
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| 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.< > |
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| AbstractList | 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.< > |
| Author | Chua, L.O. Kahlert, C. |
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| Cites_doi | 10.1109/31.52731 10.1137/0508005 10.1109/TCS.1978.1084401 10.1109/31.1705 10.1109/PROC.1977.10589 |
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| Keywords | Piecewise linear function Two dimensional model Representation Jacobi matrix Canonical form Circuit theory |
| Language | English |
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| StartPage | 373 |
| SubjectTerms | 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 |
| Title | A generalized canonical piecewise-linear representation |
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