论文标题
混合系统的积分输入到州稳定性的进一步表征
Further characterizations of integral input-to-state stability for hybrid systems
论文作者
论文摘要
在这项工作中，我们介绍了混合系统的积分输入到状态稳定性（IISS）的进一步特征。特别是，检查了0输入均匀的全局渐近稳定性（0-ugas）加上统一的能量边界状态（UBEB）和IISS之间的等价性。为了证明这种对等，为0-ugas和ubeb提供了一些必要的条件。此外，提出并证明了用于混合系统的非平滑lyapunov表征。借助上述等效性，在本工作中定义的本地IISS和实用IISS的组合也被证明与IISS相当于本地和实际量词的一种条件。
In this work we present further characterizations of integral input-to-state stability (iISS) for hybrid systems. In particular, the equivalence between 0-input uniform global asymptotic stability (0-UGAS) plus uniform bounded energy bounded state (UBEBS) and iISS is examined. In order to show this equivalence, some necessary conditions for 0-UGAS and UBEBS are provided. In addition, a non-smooth Lyapunov characterization for hybrid systems is proposed and proven. With the help of the aforementioned equivalence, the combination of local iISS and practical iISS, which are defined in this work, is also shown to be equivalent to iISS under one condition on the local and practical quantifiers.
