Output-to-State Stability for One Class of Discontinuous Dynamical Systems

It is well known that output-to-state stability(OSS)is important for engineer application. In this paper, OSS problems for one class of discontinuous dynamical systems are considered. Piecewise smooth OSS-Lyapunov functions are adopted. Furthermore, interconnections of discontinuous dynamical systems are studied. The results for a class of discontinuous dynamical systems and interconnection of discontinuous dynamical systems’ OSS character are shown, respectively.