Abstract: We studied the bifurcation properties of s tationary points of a class of planar piecewise smooth system with 3 parameters using the theory of differential inclusions, presenting both sufficient and neccesary conditions of the existence of the stationary points in this class of planar piecewise smooth systems. We especiallystudied the existence of the stationary points on the line of discontinuity of this planar piecewise smooth system.

Key words: piecewise smooth system, line of discontinuity, stationary point, bifurcation