Integral input-to-state stability for one class of discontinuous dynamical systems

It is well known that integral input-to-state stability (iISS) is weaker than input-to-state stability (ISS). In this paper, iISS problems for one class of discontinuous dynamical systems are considered. Piecewise smooth iISS-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' iISS character are shown, respectively.