Asymptotic stability for hybrid systems via decomposition, dissipativity, and detectability

Dissipativity is used to establish asymptotic stability for large-scale hybrid systems. In particular, classical dissipativity results are shown to be relevant in a hybrid systems framework that is more general than what has appeared previously in the literature on dissipativity for hybrid systems. In addition, results on robustness of asymptotic stability for hybrid systems permit using simple detectability notions to link dissipativity and asymptotic stability.