黑龙江科技学院学报2013，Vol.23Issue(1)：98-101,4.DOI:10.3969/j.issn.1671-0118.2013.01.021
摄动连续矩阵方程解的下界
Estimation of lower bounds for solution matrix of perturbed continuous matrix equation
摘要
Abstract
This paper discusses the estimation of the symmetric positive definite solution of perturbed continuous Riccati and Lyapunov equations and addresses norm-bounded uncertainty occurring in the perturbation parameters of these equations by developing the lower bounds of the symmetric positive definite solution using Schur lemma matrix inequalities, nature of eigenvalues, and so on. The numerical examples verify that the research results are valid and less conservative than the results available.关键词
摄动连续矩阵方程/对称正定解/特征值/范数有界不确定性/矩阵不等式/摄动参数Key words
perturbed continuous matrix equation/symmetric positive definite solution/eigenvalue/norm bounded uncertainty/matrix inequality/perturbed parameters分类
数理科学引用本文复制引用
王春,陈东彦,王影,孙飞,孙璐..摄动连续矩阵方程解的下界[J].黑龙江科技学院学报,2013,23(1):98-101,4.基金项目
黑龙江省教育厅科学技术研究项目(12523048) （12523048）
