DocumentCode
853709
Title
On the Lyapunov matrix differential equation
Author
Mori, Takayoshi ; Fukuma, Norio ; Kuwahara, Michiyoshi
Author_Institution
Kyoto University, Kyoto, Japan
Volume
31
Issue
9
fYear
1986
fDate
9/1/1986 12:00:00 AM
Firstpage
868
Lastpage
869
Abstract
A lower bound for the determinant of the solution to the Lyapunov matrix differential equation is derived. It is shown that this bound is obtained as a solution to a simple scalar differential equation. In the limiting case where the solution to the Lyapunov differential equation becomes stationary, the result reduces to one of the existing bounds for the algebraic equation.
Keywords
Determinants; Lyapunov matrix equations; Arithmetic; Automation; Differential algebraic equations; Differential equations; Eigenvalues and eigenfunctions; H infinity control; Helium; Integral equations; Matrices; Stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1986.1104416
Filename
1104416
Link To Document