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On the Stabilizability of Discrete-Time Switched Linear Systems: Novel Conditions and Comparisons
2016
IEEE Transactions on Automatic Control
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
doi:10.1109/tac.2015.2450871
fatcat:mngngkcchjgc7e5dt2pd47nkyi