A new method is proposed to solve dynamic linear complementary systems. To this class of systems belong all electrical piecewise linear (PL) dynamic networks. The method uses numerical integration methods to transform the original problem into a static standard linear complementary problem (LCP) that needs to be solved for each time step period. The method deals efficiently with inconsistent initial conditions and finds implicitly which mode changes and how the system equations are influenced by this change.
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D.M.W. Leenaerts (1999) studied this question.
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