DocumentCode
800335
Title
A theorem on the Lyapunov matrix equation
Author
Man, F.T.
Author_Institution
University of Toronto, Toronto, Canada
Volume
14
Issue
3
fYear
1969
fDate
6/1/1969 12:00:00 AM
Firstpage
306
Lastpage
306
Abstract
Given the Lyapunov matrix equation 
where σ is some positive scalar, a necessary and sufficient condition for the real parts of the eigenvalues of 
to be less than -σ is that 
is negative definite. The condition provides an upper bound to the solution of the Lyapunov matrix equation and is useful in the design of minimum-time or minimum-cost linear control systems.
where σ is some positive scalar, a necessary and sufficient condition for the real parts of the eigenvalues of to be less than -σ is that is negative definite. The condition provides an upper bound to the solution of the Lyapunov matrix equation and is useful in the design of minimum-time or minimum-cost linear control systems.Keywords
Lyapunov matrix equations; Control systems; Costs; Councils; Eigenvalues and eigenfunctions; Equations; Scholarships; Symmetric matrices; Upper bound;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1969.1099179
Filename
1099179
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