On the stabilization of linear discrete-time systems

被引：3
|
作者：
Ferreira, C [1 ]
Silva, FC
机构：
[1] Univ Aveiro, Dept Matemat, P-3810193 Aveiro, Portugal
[2] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 390卷
关键词：
stability; stabilization; inertia of matrices; Hermitian matrices;
D O I：
10.1016/j.laa.2004.03.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A pair of matrices (A, B), where A is p x p and B is p x q, is said to be positive stabilizable if there exists X such that A + BX is positive stable. In a previous paper, it was noticed that Lyapunov's criterium on matrix stability can be generalized as follows: (A, B) is positive stabilizable if and only if there exist a positive definite matrix H-1 and a matrix H-2 such that AH(1) + H(1)A* + BH2* + H2B* > 0; a generalization of the main inertia theorem was also given. (C) 2004 Published by Elsevier Inc.
引用
收藏
页码：7 / 18
页数：12
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