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Explicit formulas for the solutions of piecewise linear networks

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摘要

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 previouslydefined 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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