Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations

被引：22

作者：

Du, Nguyen Huu ^{[1
]}

Linh, Vu Hoang ^{[1
]}

机构：

[1] Vietnam Natl Univ, Univ Nat Sci, Fac Math Mech & Informat, Hanoi, Vietnam

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 230卷 / 02期

关键词：

robust stability; linear time-varying system; differential-algebraic equation; input-output operator;

D O I：

10.1016/j.jde.2006.07.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the robust stability for linear time-varying differential-algebraic equations. We consider the systems under the effect of uncertain dynamic perturbations. A formula of the structured stability radius is obtained. The result is an extension of a previous result for time-varying ordinary differential equations proven by Birgit Jacob [B. Jacob, A formula for the stability radius of time-varying systems, J. Differential Equations 142 (1998) 167-187]. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：579 / 599

页数：21

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