DocumentCode
1552295
Title
Upper matrix bound of the solution for the discrete Riccati equation
Author
Lee, Chien-Hua
Author_Institution
Dept. of Electr. Eng., Kung Shan Inst. of Technol., Tainan, Taiwan
Volume
42
Issue
6
fYear
1997
fDate
6/1/1997 12:00:00 AM
Firstpage
840
Lastpage
842
Abstract
A new upper matrix bound of the solution for the discrete algebraic matrix Riccati equation is developed. This matrix bound is then used to derive bounds on the eigenvalues, trace, and determinant of the same solution. It is shown that these eigenvalue bounds are less restrictive than previous results
Keywords
Riccati equations; control system analysis; control system synthesis; eigenvalues and eigenfunctions; matrix algebra; determinant; discrete algebraic matrix Riccati equation; eigenvalue bounds; trace; upper matrix bound; Control systems; Differential equations; Eigenvalues and eigenfunctions; Linear matrix inequalities; Optimal control; Riccati equations; Size control; Stability analysis; Symmetric matrices; System analysis and design;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.587339
Filename
587339
Link To Document