Discrete-time switching linear system with constraints: Characterization and computation of invariant sets under dwell-time consideration

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 character...

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Bibliographic Details
Published in:Automatica (Oxford) 2012-05, Vol.48 (5), p.964-969
Main Authors: Dehghan, Masood, Ong, Chong-Jin
Format: Article
Language:English
Subjects:
Algorithms
Applied sciences
Asymptotic properties
Computation
Computer science
control theory
systems
Constrained Systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Invariants
Linear systems
Minimal dwell-time
Origins
Set invariance
Stability
Switching
Switching systems
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Summary: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.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2012.02.045