Reference:
B. De Schutter,
"The extended linear complementarity problem and linear
complementary-slackness systems," Proceedings of the European
Control Conference 1999 (ECC'99), Karlsruhe, Germany, 5 pp.,
Aug.-Sept. 1999. Paper 1006-3/CM-9.3.
Abstract:
First we introduce the Extended Linear Complementarity Problem, which
is a kind of mathematical programming problem. Next we show how this
problem arises when we want to compute stationary points of linear
complementary-slackness systems or when we want to determine the
uniqueness of smooth continuations and the associated mode selection
problem for linear complementary-slackness systems. We also briefly
discuss the role of the Extended Linear Complementarity Problem in the
analysis of other classes of hybrid systems such as discrete event
systems and traffic signal controlled intersections.