Necessary and/or Sufficient Conditions of Controllability of Networked Sampled-Data Systems with Nonequidistant Sampling

The assumption of equidistant sampling is usually not valid in many networked systems. Controllability is the pre-requisite for analyzing networked systems. Then, in this article, the controllability of networked systems with nonequidistant sampling is investigated. Some necessary and/or sufficient conditions for verifying the controllability of networked systems with non-uniform sampling are presented. It is found that the network structure, inner-coupling, and node system collectively determine the controllability of the whole networked sampled-data systems. The networked systems with special structures are more easily controlled after sampling. Besides, if the nodes are one-dimensional, it is demonstrated that the controllability can be preserved after nonequidistant sampling in this paper. The feasibility and simplicity of these criteria are verified by some numerical examples.