Weak input-to-state stability: characterizations and counterexamples

被引:0
|
作者
Jochen Schmid
机构
[1] University of Würzburg,Institute for Mathematics
[2] Fraunhofer Institute for Industrial Mathematics (ITWM),undefined
来源
Mathematics of Control, Signals, and Systems | 2019年 / 31卷
关键词
Input-to-state stability (weak, strong, uniform); Robust stability; Infinite-dimensional dynamical systems with inputs;
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摘要
We establish characterizations of weak input-to-state stability for abstract dynamical systems with inputs, which are similar to characterizations of uniform and of strong input-to-state stability established in a recent paper by A. Mironchenko and F. Wirth. We also investigate the relation of weak input-to-state stability to other common stability concepts, thus contributing to a better theoretical understanding of input-to-state stability theory.
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页码:433 / 454
页数:21
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