In this study, the positive stability and -gain characterization problem are investigated for positive sampled-data systems. By constructing a new sampling-period-dependent copositive Lyapunov functional, and introducing the free weight matrix method to remove the single integral term, sufficient conditions for the asynchronous stability of the positive sampled-data system are established. Furthermore, system disturbances that occur frequently in engineering are taken into account. Conditions for robust stability of positive sampled-data systems that satisfy -gain performance are developed in the form of the linear programming technology. A numerical example and a practical simulation based on a communication network model are provided to illustrate the rationality and application of the theoretical results.
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