Lipschitz stability of controlled invariant subspaces

被引：2

作者：

Gracia, Juan-Miguel ^{[1
]}

Velasco, Francisco E. ^{[1
]}

机构：

[1] Univ Basque Country, Dept Appl Math & Stat, Fac Pharm, E-01080 Vitoria, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2011年 / 434卷 / 04期

关键词：

(A; B)-invariant subspace; Lipschitz stability; Roth's criterion;

D O I：

10.1016/j.laa.2010.10.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (A, B) is an element of C(nxn) X C(nxm) and M be an (A, B)-invariant subspace. In this paper the following results are presented: (i)lf M boolean AND Im B = {0}, necessary and sufficient conditions for the Lipschitz stability of M are given. (ii) If M contains the controllability subspace of the pair (A, B), sufficient conditions for the Lipschitz stability of the subspace M are given. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：1137 / 1162

页数：26

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