A Sufficient Condition for Lipschitz Stability of Controlled Invariant Subspaces

被引：1

作者：

Pena, Marta ^{[1
]}

Puerta, Ferran ^{[1
]}

Puerta, Xavier ^{[1
]}

机构：

[1] Univ Politecn Cataluna, Dept Matemat Aplicada 1, E-08028 Barcelona, Spain

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2009年 / 6卷 / 04期

关键词：

(A; B)-invariant subspace; Lipschitz stability; Grassmann manifold;

D O I：

10.1007/s00009-009-0019-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a pair of matrices (A, B) we study the Lipschitz stability of its controlled invariant subspaces. A sufficient condition is derived from the geometry of the set formed by the quadruples (A, B, F, S) where S is an (A, B)-invariant subspace and F a corresponding feedback.

引用

页码：471 / 481

页数：11

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