LYAPUNOV EQUATION FOR INFINITE-DIMENSIONAL DISCRETE BILINEAR-SYSTEMS

被引：3
|
作者：
COSTA, OLV
KUBRUSLY, CS
机构：
[1] NATL LAB SCI COMPUTAT,NACL,COMPUTACAO CIENT LAB,RIO DE JANEIRO,BRAZIL
[2] CATHOLIC UNIV RIO DE JANIERO,RIO DE JANEIRO,BRAZIL
来源：
SYSTEMS & CONTROL LETTERS | 1991年 / 17卷 / 01期
关键词：
DISCRETE BILINEAR SYSTEMS; INFINITE-DIMENSIONAL SYSTEMS; OPERATOR THEORY; STABILITY;
D O I：
10.1016/0167-6911(91)90100-S
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Mean-square stability for discrete systems requires that uniform convergence is preserved between input and state correlation sequences. Such a convergence preserving property holds for an infinite-dimensional bilinear system if and only if the associate Lyapunov equation has a unique strictly positive solution.
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页码：71 / 77
页数：7
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