DocumentCode
1388927
Title
A trace bound for a general square matrix product
Author
Xing, Wei ; Zhang, QingLing ; Wang, Qiyi
Author_Institution
Coll. of Sci., Northeastern Univ., Shenyang, China
Volume
45
Issue
8
fYear
2000
fDate
8/1/2000 12:00:00 AM
Firstpage
1563
Lastpage
1569
Abstract
Estimates of bounds on the solutions of Lyapunov and Riccati equations are important for analysis and synthesis of linear systems. In this paper, we propose new trace bounds for the product of two general matrices. The key point for removing the restriction of symmetry is to replace eigenvalues partly by singular values in the equation of bounds. The results obtained are valid for both symmetric and nonsymmetric cases and give tighter bounds in certain cases
Keywords
Lyapunov methods; Riccati equations; linear systems; matrix algebra; singular value decomposition; stability; Lyapunov method; Riccati equations; eigenvalues; linear systems; singular values; square matrix product; trace bound; trace inequality; Automation; Eigenvalues and eigenfunctions; Linear matrix inequalities; Linear systems; Matrix decomposition; Mechanical engineering; Riccati equations; Singular value decomposition; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.871773
Filename
871773
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