Controlling an integrator through data networks: stability in the presence of unknown time-variant delays

The subject of controlling an integrator via a communication network finds many applications in modern control systems. Stability conditions in closed form are derived for the arising feedback system, which consists of a controller, an integrator and time-variant links between integrator and controller. It will be shown, that these derived stability conditions are not conservative and easily applicable, even for systems with long delays. In order to draw from a recent result on time-variant discrete system stability, FIR controllers are assumed.