DocumentCode
1552209
Title
Eigenvalue upper bounds of the solution of the continuous Riccati equation
Author
Lee, Chien-Hua
Author_Institution
Dept. of Electr. Eng., Kung Shan Inst. of Technol., Tainan, Taiwan
Volume
42
Issue
9
fYear
1997
fDate
9/1/1997 12:00:00 AM
Firstpage
1268
Lastpage
1271
Abstract
New upper bounds for the solution eigenvalues of the continuous algebraic matrix Riccati equation are developed. They include bounds of the extreme eigenvalues, the summation and product of eigenvalues, the trace, and the determinant. It is shown that the majority of the present eigenvalue bounds, expressed in concise forms, are less restrictive and sharper than existing results
Keywords
Riccati equations; eigenvalues and eigenfunctions; matrix algebra; continuous algebraic matrix Riccati equation; determinant; eigenvalue upper bounds; extreme eigenvalues; product; summation; trace; Automatic control; Control design; Control system analysis; Councils; Eigenvalues and eigenfunctions; Jacobian matrices; Riccati equations; Stability; Symmetric matrices; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.623090
Filename
623090
Link To Document