Here's a nice one: V. D. Blondel, O. Bournez, P. Koiran, C. Papadimitriou, J. N. Tsitsiklis, Deciding stability and mortality of piecewise affine dynamical systems, Theoretical Computer Science, 255: (1-2), pp. 687-696, 2001. (http://www.inma.ucl.ac.be/~blondel/publications/99BBKPT-plstab.pdf)