Integral input-to-state-K L∗-stability for hybrid dynamical systems
This paper aims to study the issue of integral input-to-state stability (iISS) for hybrid dynamical systems (HDS). The notions of iIS-KLθ L Kθ K0-property and iIS-K Lθ-stability were proposed for HDS. The iIS-K Lθ L Kθ K0-property, including input-to-state stability (iISS) and iIS-K Lθ-stability, is a more general input-to-state property and reflects the specific effects on the dynamic behavior of a HDS from its continuous/discrete-time subsystems and switching events. A HDS with iIS-K LθLKθ K0-property may be non-iISS. The relations between iIS-K LθLKθ K0-property and iIS-K LθL-stability are established under some hybrid dwell time condition. Moreover, a criterion of iIS-K Lθ-stability is derived by using the iIS-K LθLKθ K0-property of subsystems.