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

页码：7 / 18

页数：12

共 12 条

[1]

FERREIRA C, INERTIA THEOREMS PAI

[2]

Hill R.D., 1969, LINEAR ALGEBRA APPL, V2, P131

[3]

Lancaster P, 1985, THEORY MATRICES

[4]

Ostrowski A., 1962, J MATH ANAL APPL, V4, P72

[5]

SA EM, 1981, LINEAR ALGEBRA APPL, V37, P143

[6]

Sontag E, 1998, MATH CONTROL THEORY

[7] SOME GENERAL THEOREMS ON ITERANTS [J].

STEIN, P .

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1952, 48 (01) :82-83

[8]

Taussky O., 1964, J. Algebra, V1, P5

[9]

TAUSSKY O, 1961, SIAM J APPL MATH, V9, P640

[10] EXISTENCE THEOREMS IN THEORY OF MATRICES AND LINEAR CONTROL-THEORY [J].

WIMMER, HK .

MONATSHEFTE FUR MATHEMATIK, 1974, 78 (03) :256-263

← 1 2 →