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arXiv 1807.08950math.OC
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弱输入-状态稳定性的刻画与反例

Weak input-to-state stability: characterizations and counterexamples

Jochen Schmid

摘要:

我们建立了具有输入的抽象动力系统的弱输入-状态稳定性的刻画,它类似于A. Mironchenko和F.沃思我们还回答,通过适当的反例,两个开放的问题,弱输入状态稳定性(及其与其他常见的稳定性概念)在上述文件中提出的。

英文摘要:

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 answer, by means of suitable counterexamples, two open questions concerning weak input-to-state stability (and its relation to other common stability concepts) raised in the aforementioned paper.

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