Quadratic stability in the circle theorem or positivity theorem

被引：0

作者：

Shim, D ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT AEROSP ENGN,ANN ARBOR,MI 48109

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 1996年 / 6卷 / 08期

关键词：

quadratic stability; positivity theorem; circle theorem;

D O I：

10.1002/(SICI)1099-1239(199610)6:8<781::AID-RNC189>3.0.CO;2-K

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this technical note, we study the quadratic stability problem for linear time-invariant multi-input, multioutput systems which have time-varying sector-bounded or positive real uncertainty feedback. It is known that the circle theorem and positivity theorem are sufficient conditions for robust stability, for sector-bounded and positive real feedback, respectively. We show that the circle theorem is necessary and sufficient condition for quadratic stability when the feedback is sector-bounded, and that the positivity theorem is necessary and sufficient condition for quadratic stability when the feedback is positive-real.

引用

页码：781 / 788

页数：8

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