DocumentCode
2411793
Title
Asymptotic properties of the maximum entropy Lyapunov equation for robust stability and performance analysis
Author
Tyan, Feng ; Bernstein, Dennis S. ; Haddad, Wassim M. ; Hyland, David C.
Author_Institution
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
fYear
1992
fDate
1992
Firstpage
2008
Abstract
The authors prove some asymptotic properties of the maximum entropy Lyapunov equation (MELE) which was studied previously by the authors (1992). It is shown that as the uncertainly level increases without bound, there exists a unique nonnegative-definite solution to MELE. Furthermore, this asymptotic solution has a structure that commutes with the perturbation matrix if the system matrix and perturbation matrix are in modal form
Keywords
Lyapunov methods; matrix algebra; asymptotic properties; maximum entropy Lyapunov equation; performance analysis; perturbation matrix; robust stability; system matrix; unique nonnegative-definite solution; Aerospace engineering; Eigenvalues and eigenfunctions; Entropy; Equations; Government; Mechanical factors; Performance analysis; Robust stability; Symmetric matrices; Uncertainty;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location
Tucson, AZ
Print_ISBN
0-7803-0872-7
Type
conf
DOI
10.1109/CDC.1992.371446
Filename
371446
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