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arXiv 2210.14992math.OCcs.SYeess.SY
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具有斜率限制的Lur 'e系统稳定性检验的精确性

On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities

Andrey Kharitenko, Carsten W. Scherer

摘要:

本文证明了著名的R. O'Shea,G. Zames和P.Falb的结论是必要的和充分的,如果Lur 'e互连的集合被提升到一个Kronecker结构,并给出了一个显式方法来构造失稳静态非线性。

英文摘要:

In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is lifted to a Kronecker structure and an explicit method to construct the destabilizing static nonlinearity is presented.

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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