THE COMPLETE CANONICAL PIECEWISE-LINEAR REPRESENTATION .1. THE GEOMETRY OF THE DOMAIN SPACE

被引：47

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 I-FUNDAMENTAL THEORY AND APPLICATIONS | 1992年 / 39卷 / 03期

关键词：

D O I：

10.1109/81.128016

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：

Continuous piecewise-linear functions from R(n) to R(m) are analyzed in terms of the dimension of their domain space and of degenerate kth-order intersections of region boundaries. The theory developed demonstrates how these two quantities are connected. Moreover, the exact number of independent parameters will be demonstrated for boundary configurations containing degenerate intersections of arbitrary orders.

引用

页码：222 / 236

页数：15

共 7 条

[1]

[Anonymous], 1996, TABLES INTEGRALS SER

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

CHUA, LO ;

KANG, SM .

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

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

CHUA, LO ;

DENG, AC .

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

[4] A CANONICAL REPRESENTATION FOR PIECEWISE-AFFINE MAPS AND ITS APPLICATIONS TO CIRCUIT ANALYSIS [J].

GUZELIS, C ;

GOKNAR, IC .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (11) :1342-1354

[5] A GENERALIZED CANONICAL PIECEWISE-LINEAR REPRESENTATION [J].

KAHLERT, C ;

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1990, 37 (03) :373-383

[6]

KAHLERT C, IN PRESS IEEE T CIRC

[7]

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

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