  This article deals with stabilizing discrete-time switched linear systems.
Our contributions are threefold: Firstly, given a family of linear systems
possibly containing unstable dynamics, we propose a large class of switching
signals that stabilize a switched system generated by the switching signal and
the given family of systems. Secondly, given a switched system, a sufficient
condition for the existence of the proposed switching signal is derived by
expressing the switching signal as an infinite walk on a directed graph
representing the switched system. Thirdly, given a family of linear systems, we
propose an algorithmic technique to design a switching signal for stabilizing
the corresponding switched system.
