Explicit formulas for the solutions of piecewise linear networks

W.M.G. Bokhoven, van; D.M.W. Leenaerts

doi:10.1109/81.788812

Explicit formulas for the solutions of piecewise linear networks

W.M.G. Bokhoven, van, D.M.W. Leenaerts

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Abstract

A methodology is presented for obtaining explicit formulas for the solution of class-P piecewise linear (PL) networks and, inherently, for the linear complementary problem (LCP). The method uses the [.] operator, which has been previously defined in the literature to extend the explicit PL model descriptions of Chua. An important consequence of the methodology is that it proves that class-P networks have explicit solutions

Original language	English
Pages (from-to)	1110-1117
Number of pages	8
Journal	IEEE Transactions on Circuits and Systems. I, Fundamental Theory and Applications
Volume	46
Issue number	9
DOIs	https://doi.org/10.1109/81.788812
Publication status	Published - 1999

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title = "Explicit formulas for the solutions of piecewise linear networks",

abstract = "A methodology is presented for obtaining explicit formulas for the solution of class-P piecewise linear (PL) networks and, inherently, for the linear complementary problem (LCP). The method uses the [.] operator, which has been previously defined in the literature to extend the explicit PL model descriptions of Chua. An important consequence of the methodology is that it proves that class-P networks have explicit solutions",

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AU - Bokhoven, van, W.M.G.

AU - Leenaerts, D.M.W.

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AB - A methodology is presented for obtaining explicit formulas for the solution of class-P piecewise linear (PL) networks and, inherently, for the linear complementary problem (LCP). The method uses the [.] operator, which has been previously defined in the literature to extend the explicit PL model descriptions of Chua. An important consequence of the methodology is that it proves that class-P networks have explicit solutions

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DO - 10.1109/81.788812

M3 - Article

SN - 1057-7122

VL - 46

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EP - 1117

JO - IEEE Transactions on Circuits and Systems. I, Fundamental Theory and Applications

JF - IEEE Transactions on Circuits and Systems. I, Fundamental Theory and Applications

IS - 9

ER -

Explicit formulas for the solutions of piecewise linear networks

Abstract

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