Comments on “On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities”

Carrasco J.; Heath W. P.; Li G.; Lanzon A.

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Comments on “On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities”

机译：关于“关于具有斜率限制非线性系统的稳定因果乘子的存在”的评论

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The above technical note presents a novel convex search within the Zames–Falb multiplier class. The aim of this correspondence is to correct the misuse of a relaxation on one condition in the search. This relaxation leads to nontrivial numerical errors in all six examples discussed in the technical note. Correct application of the conditions still gives an improvement over absolute stability criteria in the literature for at least one example, but some of the claims for lack of conservativeness in the above technical note should be moderated.

机译：上面的技术说明在Zames-Falb乘数类中提出了一种新颖的凸搜索。该对应关系的目的是纠正在搜索中一种条件下放松的滥用。在技术说明中讨论的所有六个示例中，这种松弛都会导致不小的数值误差。至少在一个例子中，正确应用这些条件仍比文献中的绝对稳定性标准有所改善，但上述技术说明中某些缺乏保守性的主张应予缓和。

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《Automatic Control, IEEE Transactions on》 |2012年第9期|p.2422-2428|共7页
作者
Carrasco J.; Heath W. P.; Li G.; Lanzon A.;
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作者单位

Control Systems Centre, School of Electrical and Electronic Engineering, The University of Manchester,;

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正文语种 eng
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关键词
Integral quadratic constraints (IQC); Zames–Falb multiplier; linear matrix inequalities (LMIs);

机译：积分二次约束（IQC）;Zames-Falb乘数;线性矩阵不等式（LMI）;

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1. Authors Reply to “Comments on ‘On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities’” [J] . Turner M. C., Kerr M., Postlethwaite I. Automatic Control, IEEE Transactions on . 2012,第9期

机译：作者回答“关于“关于具有斜率限制非线性的系统的稳定的因果乘子的存在”的评论”
2. Decomposing Algorithms for Robustly Stable Nonlinear Multiply Connected Control Systems: Theory and Applied Problems [J] . P. D. Krutko Journal of Computer and Systems Sciences International . 2005,第1期

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4. On the existence of stable, causal multipliers for systems with slope-restricted nonlinearities [C] . Turner, M.C., Kerr, M., Postlethwaite, I. American Control Conference;ACC '09 . 2009

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6. New existence results for nonlinear delayed differential systems at resonance [O] . Ruipeng Chen, Xiaoya Li -1

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7. On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities [O] . Turner, Matthew C., Kerr, M. L., Postlethwaite, Ian 2009

机译：具有斜率限制非线性系统的稳定因果乘子的存在性

Comments on “On the Existence of Stable, Causal Multipliers for Systems With Slope-Restricted Nonlinearities”

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