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
收藏
页码:57 / 75
页数:19
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