DocumentCode
1393030
Title
Quadratic Stability for Hybrid Systems With Nested Saturations
Author
Fiacchini, Mirko ; Tarbouriech, S. ; Prieur, Christophe
Author_Institution
Res. Center for Autom. Control of Nancy (CRAN), Univ. de Lorraine, Nancy, France
Volume
57
Issue
7
fYear
2012
fDate
7/1/2012 12:00:00 AM
Firstpage
1832
Lastpage
1838
Abstract
The problems of characterizing quadratic stability and computing an estimation of the domain of attraction for saturated hybrid systems are addressed. Hybrid systems presenting saturations and nested saturations on signals involved in both the continuous-time and the discrete-time dynamics are considered. Geometrical characterizations of local and global quadratic stability are provided. Computation oriented conditions for quadratic stability are given in form of convex constraints.
Keywords
continuous time systems; discrete time systems; stability; computation oriented conditions; continuous time dynamics; convex constraints; discrete time dynamics; global quadratic stability; local quadratic stability; nested saturations; saturated hybrid systems; Asymptotic stability; Ellipsoids; Estimation; Lyapunov methods; Stability criteria; Trajectory; Domain of attraction; hybrid systems; nested saturations; stability;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2011.2178651
Filename
6097029
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