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

作者：Dehghan Masood^*; Ong Chong Jin

来源：Automatica, 2012, 48(5): 964-969.

DOI：10.1016/j.automatica.2012.02.045

• Switching systems
• Minimal dwell-time
• Constrained Systems
• Set invariance
• Stability

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.

• 出版日期2012-5