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
fDate :
7/1/2012 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2178651
