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

This paper introduces the concepts of Dwell-Time invariance (DT-invariance) and maximal constraint admissible DT-invariant set for discrete-time switching systems under dwell-time switching. Main contributions of this paper include a characterization for DT-invariance; a numerical computation of the maximal CADT-invariant set; a necessary and sufficient condition for asymptotic stability of the origin of the switching systems under dwell time switching and an algorithm for the computation of the minimal dwell time needed for stability.