TY - JOUR
T1 - Further characterizations of integral input-to-state stability for hybrid systems
AU - Liu, Shenyu
AU - Russo, Antonio
N1 - Publisher Copyright:
© 2023
PY - 2024/5
Y1 - 2024/5
N2 - 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.
AB - 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.
KW - Hybrid systems
KW - Integral input-to-state stability
KW - Stability of nonlinear systems
UR - http://www.scopus.com/inward/record.url?scp=85184754488&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2023.111484
DO - 10.1016/j.automatica.2023.111484
M3 - Article
AN - SCOPUS:85184754488
SN - 0005-1098
VL - 163
JO - Automatica
JF - Automatica
M1 - 111484
ER -