Controllability completion problems of partial upper triangular matrices

被引：1

作者：

Jordán, C ^{[1
]}

Torregrosa, JR ^{[1
]}

Urbano, A ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Matemat Aplicada, E-46071 Valencia, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2000年 / 47卷 / 01期

关键词：

partial matrix; completion problems; controllability indices;

D O I：

10.1080/03081080008818632

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main result of this paper states sufficient conditions for the existence of a completion A(c) of an n x n partial upper triangular matrix A, such that the pair (A(c), B) has prescribed controllability indices, being B an n x m matrix. If A is a partial Hessenberg matrix some conditions may be dropped. An algorithm that obtains a completion A(c) of A such that pair (A(c), e(k)) is completely controllable, where ek is a unit vector, is used to proof the results.

引用

页码：57 / 75

页数：19

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