The matching of two stable sewing linear systems in the plane (Q499192)

The authors establish that a planar sewing piecewise linear system with two zones, defined by Hurwitz matrices has a unique equilibrium point in the separation straight line and it is globally asymptotically stable. However, they also show that sewing piecewise linear systems with two zones in the plane defined by Hurwitz matrices can have an unstable equilibrium point at the origin, resulting in counter-intuitive behaviors of simple piecewise linear systems in the plane.