Stability analyses of hybrid dynamical systems for the control system with a pulse-width-modulated sampler

In the present paper, using the analysis method of hybrid dynamical systems (HDS), we do some research works for a class of pulse-width-modulated sampling control system based on the existing results of asymptotic stability of HDS invariant sets. In the case that there is a certain periodic perturbation imposed on the system's object, the exponential stability qualifications are proved strictly in the hybrid state space.