Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.automatica.2012.02.045
Title: Discrete-time switching linear system with constraints: Characterization and computation of invariant sets under dwell-time consideration
Authors: Dehghan, M.
Ong, C.-J. 
Keywords: Constrained Systems
Minimal dwell-time
Set invariance
Stability
Switching systems
Issue Date: May-2012
Citation: Dehghan, M., Ong, C.-J. (2012-05). Discrete-time switching linear system with constraints: Characterization and computation of invariant sets under dwell-time consideration. Automatica 48 (5) : 964-969. ScholarBank@NUS Repository. https://doi.org/10.1016/j.automatica.2012.02.045
Abstract: This paper introduces the concepts of Dwell-Time invariant/contractive (DT-invariant/contractive) set, Constraint Admissible DT-invariant/contractive (CADT-invariant/contractive) set for a discrete-time switching system under dwell-time switching. Main contributions of this paper include a characterization for a DT-contractive set, an algorithm for the computation of the maximal CADT-invariant set, a necessary and sufficient condition for asymptotic stability of the origin of switching systems under dwell-time switching and computation of the minimal dwell-time needed for asymptotic stability of the origin. © 2012 Elsevier Ltd. All rights reserved.
Source Title: Automatica
URI: http://scholarbank.nus.edu.sg/handle/10635/59965
ISSN: 00051098
DOI: 10.1016/j.automatica.2012.02.045
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