A new concept of invariance for saturated systems

: In this paper, a new concept of invariance for saturated linear systems is presented. This new notion of invariance, denoted SNS-invariance, has a number of geometrical properties that makes its use suitable for the estimation of the domain of attraction of saturated systems. The notion of SNS-domain of attraction, that serves as an estimation of the domain of attraction of a saturated system, is introduced. It is shown that, in case of single input saturated systems, any contractive set is contained in the SNSdomain of attraction. A simple algorithm that converges to the SNS-domain of attraction is presented. Some illustrative examples are given. Copyright c 2005 IFAC

• Type: Journal
• Year: 2006
• Where: AUTOMATICA
• Authors: T. Alamo, A. Cepeda, Daniel Limón, Eduardo F. Camacho
• Keywords: AUTOMATICA 2006, Geometrical Properties, Linear Systems, Systems