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On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons | IEEE Journals & Magazine | IEEE Xplore

On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons


Abstract:

In this paper we deal with the stabilizability property for discrete-time switched linear systems. A recent necessary and sufficient characterization of stabilizability, ...Show More

Abstract:

In this paper we deal with the stabilizability property for discrete-time switched linear systems. A recent necessary and sufficient characterization of stabilizability, based on set theory, is considered as the reference for comparing the computation-oriented sufficient conditions. The classical BMI conditions based on Lyapunov-Metzler inequalities are considered and extended. Novel LMI conditions for stabilizability, derived from the geometric ones, are presented that permit to combine generality with computational affordability. For the different conditions, the geometrical interpretations are provided and the induced stabilizing switching laws are given. The relations and the implications between the stabilizability conditions are analyzed to infer and compare their conservatism and their complexity.
Published in: IEEE Transactions on Automatic Control ( Volume: 61, Issue: 5, May 2016)
Page(s): 1181 - 1193
Date of Publication: 29 June 2015

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