期刊
SYSTEMS & CONTROL LETTERS
卷 58, 期 1, 页码 47-53出版社
ELSEVIER
DOI: 10.1016/j.sysconle.2008.07.009
关键词
Hybrid systems; Input-to-state stability; Characterizations; Lyapunov functions
We study input-to-state stability (ISS) for a broad class of hybrid systems, which are combinations of a differential equation on a constraint set and a difference equation on another constraint set. For this class of hybrid systems, we establish the equivalence of ISS, nonuniform ISS, and the existence of a smooth ISS-Lyapunov function by additionally assuming that the right-hand side of the differential equation has a convex property with respect to inputs. Moreover, we demonstrate by examples that the equivalence may fail when such a convexity assumption is removed. (C) 2008 Elsevier B.V. All rights reserved.
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