DocumentCode
1347522
Title
Multivariable circle criteria for multiparameter singularly perturbed systems
Author
Tuan, H.D. ; Hosoe, S.
Author_Institution
Dept. of Inf. & Control Eng., Toyota Technol. Inst., Nagoya, Japan
Volume
45
Issue
4
fYear
2000
fDate
4/1/2000 12:00:00 AM
Firstpage
720
Lastpage
725
Abstract
A direct approach to the Lur´e problem for singularly perturbed systems (SPS) is proposed. In contrast to previous results, the feedback connection between the linear and nonlinear parts of SPS is allowed to depend essentially on both the slow and the fast variables. The Lur´e problem for multiparameter SPS is studied by the same framework
Keywords
asymptotic stability; feedback; linear systems; multidimensional systems; singularly perturbed systems; stability criteria; transfer functions; Lure problem; asymptotic stability; circle criteria; feedback; finite dimensional systems; linear systems; singularly perturbed systems; transfer function; Feedback; Lyapunov method; Nonlinear equations; Nonlinear systems; Riccati equations; Robust control; Robust stability; Sufficient conditions; Symmetric matrices; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.847109
Filename
847109
Link To Document