This paper is concerned with the stability problem of discrete-time positive switched linear systems with delays. The states of the systems under consideration are confined in the positive orthant, and the delays can be time-varying and not necessarily bounded. Based on a novel approach, a delay-independent stability criterion is established for such systems. The result coincides with some well-known properties of positive system when the considered switched system has only one mode, and also improves an earlier result. A numerical example is provided to demonstrate the obtained result.
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