Stability analysis of discrete-dime positive switched linear delay systems

摘要

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.