Title :
Invariance of symmetric convex sets for discrete-time saturated systems
Author :
Fiacchini, Mirko ; Tarbouriech, Sophie ; Prieur, Christophe
Author_Institution :
LAAS, Toulouse, France
Abstract :
The characterization of invariance and contractiveness for discrete-time saturated linear systems is considered. The geometrical approach used to analyze the problem leads to conditions valid for generic symmetric convex sets. The application of the results to the ellipsoidal case generalizes known results and leads to computational improvements.
Keywords :
discrete time systems; linear systems; contractiveness characterization; discrete-time saturated linear systems; geometrical approach; invariance characterization; symmetric convex set invariance; Ellipsoids; Estimation; Linear systems; Linearity; Lyapunov methods; Nonlinear systems; Quadratic programming;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160373