On stability analysis for systems containing repeated scalar slope-restricted nonlinearities
On stability analysis for systems containing repeated scalar slope-restricted nonlinearities
复制标题
包含重复标量斜率限制非线性系统的稳定性分析
DOI：
10.1109/acc.2012.6315057
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
J. Sofrony
中科院分区：
文献类型：
--
作者：
M. Turner;M. Kerr;J. Sofrony
本文提出了一种基于LMI的计算框架，用于研究有限维线性时不变系统和由若干具有扇形和斜率限制的相同标量非线性项组成的非线性单元的反馈互连的稳定性。这些结果是基于IQC稳定性分析框架和其他最近的结果，这些结果给出了单调、重复标量非线性的稳定乘子的精确特征。有几个例子表明了拟议方法的有效性；值得注意的是，结果中缺乏保守性。
This paper proposes an LMI-based computational framework for studying the stability of feedback interconnections of a finite dimensional linear time invariant system and a nonlinear element which consists of several identical scalar nonlinearities which have restrictions on their sector and slope. The results are based on the IQC stability analysis framework and other recent results which give a sharp characterisation of stability multipliers for monotone, repeated scalar nonlineari-ties. Several examples show the effectiveness of the proposed approach; the lack of conservatism in the results is noteworthy.
对“具有斜率限制非线性系统的稳定因果乘子的存在性”的评论
影响因子：
6.8
作者：
Carrasco J
通讯作者：
Carrasco J