Boundedness and local stability of oscillation in a class of piecewise affine systems.

This paper investigates self-oscillation behaviors occurring in a class of piecewise affine (PWA) systems. We address a particular case of PWA systems with two subsystems and a linear switching surface. Conditions are given for characterizing forward invariant sets containing self-oscillating solutions and domains of attraction Rather than relying on purely computational tools, we provide conditions taking into account the structure of the system. [ABSTRACT FROM AUTHOR]