Further extensions to Chua's explicit piecewise linear function descriptions

International Journal of Circuit Theory and Applications

Volumn 24, Issue 6, 1996, Pages 621-633

  Leenaerts, Domine M W ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONFORMAL MAPPING; MATHEMATICAL MODELS; MATRIX ALGEBRA; SET THEORY; VECTORS;

ABSOLUTE VALUE OPERATOR; LINEAR COMPLEMENTARY PROBLEM (LCP) MATRIX;

PIECEWISE LINEAR TECHNIQUES;

EID: 0030284334     PISSN: 00989886     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-007X(199611/12)24:6<621::AID-CTA940>3.0.CO;2-F     Document Type: Article

References (13)

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2. S. M. Kangand L. O. Chua, 'A global representation of multidimensional piecewise linear representation', IEEE Trans. Circuits and Systems, CAS-25, 938-940 (1978).
3. C. Kahlert and L. O. Chua, 'A generalized canonical piecewise linear representation', IEEE Trans. Circuits and Systems, CAS-37, 373-382 (1990).
4. G. Guzelis and I. Gknar, 'A canonical representation for piecewise linear affine maps and its application to circuit analysis', IEEE Trans. Circuits and Systems, CAS-38, 1342-1354 (1991).
5. T. A. M. Kevenaar and D. M. W. Leenaerts, 'A comparison of piecewise linear model descriptions', IEEE Trans. Circuits and Systems I, CAS-39, 996-1004 (1992).
6. W. M. G. van Bokhoven, Piecewise Linear Modelling and Analysis, Kluwer, Deventer, 1981.
7. W. M. G. van Bokhoven, 'Piecewise linear analysis and simulation', in A. E. Ruehli (ed.), Circuit Analysis, Simulation and Design, North-Holland, Amsterdam, 1986, Chap. 9.
8. T. A. M. Kevenaar, D. M. W. Leenaerts and W. M. G. van Bokhoven, 'Extensions to Chua's explicit piecewise-linear function description', IEEE Trans. Circuits and Systems I, CAS-41, 308-314 (1994).
9. S. Karamardian, 'The complementary problem', Math. Program., 2, 107-129 (1972).
10. R. W. Cottle, The Linear Complementary Problem, Academic, New York, 1992.
11. W. M. G. van Bokhoven, 'A closed-form expression for the solution of the class-P LCP and for the related response of a piecewise linear resistive network', Int. j. cir. theor. appl., submitted.
12. J. T. J. van Eijndhoven, 'Piecewise linear analysis, in T. Ozawa (ed.), Analog Methods for Computer-Aided Circuit Analysis and Diagnosis' 1, Marcel Dekker, New York, 1988, chap. 3.
13. H. W. Buurman, 'From circuit to signal, development of a piecewise linear simulator', PhD. Dissertation, Technical University of Eindhoven, 1993.