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Switched dynamical systems are known to exhibit border collision, in which a particular operation is terminated and a new operation is assumed as one or more parameters are varied. In this paper, we report a subtle relation between border collision and saddle-node bifurcation in such systems. Our main finding is that the border collision and the saddle-node bifurcation are actually linked together by unstable solutions which have been generated from the same saddle-node bifurcation. Sincedoi:10.1109/iscas.2005.1466019 dblp:conf/iscas/MaKTK05 fatcat:tq4qbvou7fhudgqdwy7ztrwt54