A GENERALIZED CANONICAL PIECEWISE-LINEAR REPRESENTATION

被引：78

作者：

KAHLERT, C ^{[1
]}

CHUA, LO ^{[1
]}

机构：

[1] UNIV TUBINGEN,INST PHYS & THEORET CHEM,W-7400 TUBINGEN 1,GERMANY

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS | 1990年 / 37卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/31.52731

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

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. © 1990 IEEE

引用

页码：373 / 383

页数：11

共 6 条

[1] SECTION-WISE PIECEWISE-LINEAR FUNCTIONS - CANONICAL REPRESENTATION, PROPERTIES, AND APPLICATIONS [J].

CHUA, LO ;

KANG, SM .

PROCEEDINGS OF THE IEEE, 1977, 65 (06) :915-929

[2] CANONICAL PIECEWISE-LINEAR REPRESENTATION [J].

CHUA, LO ;

DENG, AC .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (01) :101-111

[3]

GUZELIS C, 1988, THESIS ISTANBUL

[4]

KAHLERT C, IN PRESS IEEE T CIRC

[5] GLOBAL REPRESENTATION OF MULTIDIMENSIONAL PIECEWISE-LINEAR FUNCTIONS WITH LINEAR PARTITIONS [J].

KANG, SM ;

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (11) :938-940

[6]

OHUTSUKI T, 1977, SIAM J MATH ANAL, V8, P69

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