DocumentCode
825675
Title
On norm bounds for algebraic Riccati and Lyapunov equations
Author
Patel, R.V. ; Toda, M.
Author_Institution
University of Waterloo, Waterloo, Ontario, Canada
Volume
23
Issue
1
fYear
1978
fDate
2/1/1978 12:00:00 AM
Firstpage
87
Lastpage
88
Abstract
New lower bounds on the spectral norms of the positive definite solutions to the continuos and discrete algebraic matrix Riccati and Lyapunov equations are derived. These bounds are much easier to compute than previously available bounds and appear to be considerably tighter in many cases.
Keywords
Algebraic Riccati equation (ARE); Lyapunov matrix equations; Riccati equations, algebraic; Automatic control; Councils; Eigenvalues and eigenfunctions; Linear matrix inequalities; Matrices; NASA; Riccati equations; Sufficient conditions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1978.1101676
Filename
1101676
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