The Complete Canonical Piecewise-Linear Representation—Part I: The Geometry of the Domain Space

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 39, Issue 3, 1992, Pages 222-236

  Kahlert, Claus ^a   Chua, Leon O ^b  

^a UNIVERSITY OF TÜBINGEN   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES - PIECEWISE LINEAR TECHNIQUES; MATHEMATICAL TECHNIQUES - VECTORS;

CANONICAL PIECEWISE-LINEAR REPRESENTATION; DEGENERATE INTERSECTION; DOMAIN SPACE GEOMETRY;

ELECTRIC NETWORKS, NONLINEAR;

EID: 0026832169     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.128016     Document Type: Article

References (7)

1. L. O. Chua and S. M. Kang, “Section-wise piecewise-linear functions: Canonical representation, properties, and applications,” Proc. IEEE, vol. 65, pp. 915–929, 1977.
2. L. O. Chua and A.-C. Deng, “Canonical piecewise-linear representation,” IEEE Trans. Circuits vol. 101–111, 1988.
3. C. Kahlert and L. O. Chua, “A generalized canonical piecewise-lin-ear representation,” IEEE Trans. Circuits Syst., vol. 37, pp. 373–383, 1990.
4. C. Giizelis and I. C. Giiknar, “A canonical representation for piecewise-affine maps and its applications to circuit analysis,” IEEE Trans. Circuits vol. 38, 1342–1354, Nov. 1991.
5. C. Kahlert and L. O. Chua, “The complete canonical piecewise-lin-ear representation—Part II: The functional form,” IEEE Trans. Circuits Syst., to be published.
6. T. Ohutsuki, T. Fujisawa, and S. Kumagai, “Existence theorems and a solution algorithm for piecewise-linear resistor networks,” SIAM J. Math. Anal., vol. 8, 69–99, 1977.
7. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products. New York: Academic, 1980.