Extensions to Chua's Explicit Piecewise-Linear Function Descriptions

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

Volumn 41, Issue 4, 1994, Pages 308-314

  Kevenaar, Tom A M ^a   Leenaerts, Domine M W ^a   Van Bokhoven, Wim M G ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONFORMAL MAPPING; DESCRIBING FUNCTIONS; LINEAR ALGEBRA; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; VECTORS;

DYADIC UPDATE; EXPLICIT DESCRIPTION; HYPERPLANE; IMPLICIT DESCRIPTION; MODULUS TRANSFORMATION; POLYTOPE;

PIECEWISE LINEAR TECHNIQUES;

EID: 0028416465     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.285686     Document Type: Article

References (15)

1. T.A.M. Kevenaar and D.M.W. Leenaerts, “A comparison of piecewise linear model descriptions,” IEEE Trans. Circ. Syst. Part I, vol 39, pp. 996–1004, Dec. 1992.
2. C. Kahlert and L. O. Chua, “A generalized canonical piecewise linear representation,” IEEE Trans. Circ. Syst. vol. 37, pp. 373–382, Mar. 1990.
3. W. M. G. van Bokhoven, Piecewise Linear Modelling and Analysis. Deventer, The Netherlands: Kluwer Technische boeken, 1981.
4. W. M. G. van Bokhoven, “Piecewise linear analysis and simulation,” in Circuit Analysis, Simulation and Design, A. E. Ruehli, Ed., Amsterdam: North-Holland, 1986, Chapter 9.
5. J. Katzenelson, “An algorithm for solving nonlinear resistive networks,” Bell Syst. Tech. J. vol. 44 pp. 1605–1620, Oct. 1965.
6. C. E. Lemke, “On the complementary pivot theory,” in Nonlinear Programming (Proc. Symp.), J. B. Rosen, O. L. Mangasarian, and K. Ritten, Eds. New York: Academic Press, pp. 349–384, 1968.
7. C. van de Panne, “A complementary variant of Lemke's method for the linear complementary problem,” Math. Program. vol. 7, pp. 283–310, 1974.
8. C. Kahlert and L. O. Chua, “The complete canonical piecewise-linear representation—part I: the geometry of the domain space,” IEEE Trans. Circ. Syst. Part I, vol. 39, Mar. 1992.
9. J. T. J. van Eijndhoven, “Piecewise linear analysis,” in Analog Methods for Computer-Aided Circuit Analysis and Diagnosis, T. Ozawa, Ed., New York: Marcel Dekker Inc., 1988, Chapter 3.
10. S. Karamardian, “The complementary problem,” Math. Program., vol. 2, pp. 107–129, 1972.
11. L. O. Chua and S. M. Kang, “Section-wise piecewise linear functions: canonical representation, properties and applications,” IEEE Trans. Circ. and Syst., vol. 30, pp. 125–140, Mar. 1977.
12. S. M. Kang and L. O. Chua, “A global representation of multidimensional piecewise linear representation,” IEEE Trans. Circ. and Syst., vol. 25, pp. 938–940, Nov. 1978.
13. G. Güzelis and I. G ö knar, “A canonical representation for piecewise linear affine maps and its application to circuit analysis,” IEEE Trans. Circ. and Syst., vol. 38, pp. 1342–1354, Nov. 1991.
14. G. Verkroost, “On the uniqueness of solutions for networks containing linear memoryless elements and ideal diodes,” in Proc. IEE European Conf. on Circ. Theory, IEE 116, 1974.
15. R. W. Cottle et. al., The Linear Complementary Problem. San Diego, CA: Academic Press, 1992.