DocumentCode
1367977
Title
Upper and lower matrix bounds of the solution for the discrete Lyapunov equation
Author
Lee, Chien-Hua
Author_Institution
Dept. of Electr. Eng., Kung Shan Inst. of Technol., Tainan, Taiwan
Volume
41
Issue
9
fYear
1996
fDate
9/1/1996 12:00:00 AM
Firstpage
1338
Lastpage
1341
Abstract
New matrix bounds of the solution for the discrete algebraic matrix Lyapunov equation are established. The upper and lower eigenvalue bounds such as each eigenvalue including the extreme ones, the trace, and the determinant are also determined by these matrix bounds for the same solution. The present schemes are tighter as compared with the majority of existing results
Keywords
Lyapunov matrix equations; eigenvalues and eigenfunctions; discrete algebraic matrix Lyapunov; eigenvalue bounds; lower matrix bounds; upper matrix bounds; Control system analysis; Control systems; Councils; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.536505
Filename
536505
Link To Document