Stability Analysis of Switched Positive Systems with Delays
This brief investigates the stability problem of discrete-time switched positive systems with delays, and establishes some necessary and sufﬁcient conditions for the existence of a switched copositive Lyapunov function(SCLF) for such systems. It turns out that the size of the delays does not affect the stability of these systems. In other words, system stability is completely determined by the system matrices.
X. Y. Ding et al., "Stability Analysis of Switched Positive Systems with Delays", Applied Mechanics and Materials, Vols. 48-49, pp. 1093-1096, 2011