Conditions for the equivalence between IQC and graph separation stability results
Conditions for the equivalence between IQC and graph separation stability results
复制标题
IQC 和图分离稳定性结果之间的等效条件
DOI：
10.1080/00207179.2018.1465205
复制
发表时间：
2017
影响因子：
2.1
通讯作者：
P. Seiler
中科院分区：
文献类型：
--
作者：
J. Carrasco;P. Seiler
摘要本文提供了一个链接的时域和频域的稳定性结果在文献中。具体来说，我们专注于两个非线性系统的反馈互连的频域条件下的稳定性结果之间的比较。虽然积分二次约束（IQC）定理可以通过Lurye问题的同伦参数来科普它们，但图分离结果需要将频域条件转换为截断时域条件。到目前为止，大部分文献集中在“硬”因式分解的乘法器，只考虑两个频域条件之一。在这里，它示出了一个对称的，“双硬”的因式分解需要将频域条件转换为截断时域条件。通过使用适当的因式分解，IQC和分离理论得到的结果之间的一种新的比较，然后提供。因此，我们确定在什么条件下的IQC定理可能提供一些优势。
ABSTRACT This paper provides a link between time-domain and frequency-domain stability results in the literature. Specifically, we focus on the comparison between stability results for a feedback interconnection of two nonlinear systems stated in terms of frequency-domain conditions. While the integral quadratic constrain (IQC) theorem can cope with them via a homotopy argument for the Lurye problem, graph separation results require the transformation of the frequency-domain conditions into truncated time-domain conditions. To date, much of the literature focuses on ‘hard’ factorisations of the multiplier, considering only one of the two frequency-domain conditions. Here it is shown that a symmetric, ‘doubly-hard’ factorisation is required to convert both frequency-domain conditions into truncated time-domain conditions. By using the appropriate factorisation, a novel comparison between the results obtained by IQC and separation theories is then provided. As a result, we identify under what conditions the IQC theorem may provide some advantage.
DOI：
10.1109/cdc.2012.6427017
发表时间：
2012
期刊：
--
影响因子：
--
作者：
Carrasco J
通讯作者：
Carrasco J
DOI：
10.1016/j.automatica.2012.02.035
发表时间：
2011-12
期刊：
IEEE Conference on Decision and Control and European Control Conference
影响因子：
--
作者：
J. Carrasco;W. Heath;A. Lanzon
通讯作者：
J. Carrasco;W. Heath;A. Lanzon