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arXiv 1708.07482math.FAmath.DSmath.OC
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infinite dimensional线性系的强输入-状态稳定性

Strong input-to-state stability for infinite dimensional linear systems

Robert Nabiullin, Felix Schwenninger

摘要:

本文研究了具有无界输入算子的无限维线性系的强输入-状态稳定性和积分输入-状态稳定性。我们表明,在Orlicz空间的输入的无限时间容许性是一个充分条件的系统是强积分输入到状态稳定的,但不像在指数稳定系统的情况下,不是一个必要的。

英文摘要:

This paper deals with strong versions of input-to-state stability and integral input-to-state stability of infinite-dimensional linear systems with an unbounded input operator. We show that infinite-time admissibility with respect to inputs in an Orlicz space is a sufficient condition for a system to be strongly integral input-to-state stable but, unlike in the case of exponentially stable systems, not a necessary one.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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