DocumentCode
1538434
Title
Two conditions concerning common quadratic Lyapunov functions for linear systems
Author
Ooba, Tatsushi ; Funahashi, Yasuyuki
Author_Institution
Dept. of Mech. Eng., Nagoya Inst. of Technol., Japan
Volume
42
Issue
5
fYear
1997
fDate
5/1/1997 12:00:00 AM
Firstpage
719
Lastpage
722
Abstract
Concerning a pair of linear systems, some triangle conditions for the existence of a common quadratic Lyapunov function are presented in this paper. These conditions are derived from a criterion for judging the semipositiveness of a linear map defined on symmetric matrices
Keywords
Lyapunov methods; linear systems; matrix algebra; common quadratic Lyapunov functions; linear map; linear systems; semipositiveness; symmetric matrices; triangle conditions; Attenuation measurement; Automatic control; Control systems; Filtering theory; Linear matrix inequalities; Linear systems; Optimal control; Performance gain; Robust stability; Uncertainty;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.580888
Filename
580888
Link To Document