A Generalization of Canonical Piecewise-Linear Functions

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

Volumn 41, Issue 4, 1994, Pages 345-347

  Lin, Ji Nan ^a   Xu, Hong Qing ^a   Unbehauen, Rolf ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCUIT THEORY; ELECTRIC NETWORK ANALYSIS; FUNCTION EVALUATION; MATHEMATICAL OPERATORS; NEURAL NETWORKS; SET THEORY; THEOREM PROVING;

GENERALIZATION; HIGH LEVEL CANONICAL REPRESENTATION; PIECEWISE LINEAR FUNCTIONS;

PIECEWISE LINEAR TECHNIQUES;

EID: 0028419266     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.285696     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. Circ. Syst., vol. 35, pp. 101–111, 1988.
3. T. Ohtsuki, T. Fujisawa, and S. Kumagai, “Existence theorems and a solution algorithm for piecewise-linear resistor networks,” SIAM J. Math. Anal., vol. 8, pp. 69–99, 1977.
4. C. Kahlert and L. O. Chua, “A generalized canonical piecewise-linear representation,” IEEE Trans. Circ. Syst., vol. 37, pp. 373–383, Mar. 1990.
5. C. Guzelis and I. C. Goknar, “A canonical representation for piecewise-affine maps and its applications to circuit analysis,” IEEE Trans. Circ. Syst., vol. 38, pp. 1342–1354, 1991.
6. C. Kahlert and L. O. Chua, “The complete canonical piecewise-linear representation—Part I: The geometry of the domain space,” IEEE Trans. Circ. and Syst.-I, vol. 39, pp. 222–236, 1992.
7. J.-N. Lin and R. Unbehauen, “Canonical piecewise-linear networks,” to appear in IEEE Trans. Neural Networks.