Stabilization of uncertain distributed networked control systems with minimal communications network

We derive a network stability condition for linear time-invariant distributed networked systems as the system parameters are allowed to take values within a specified class of model uncertainties. We use the modified Lyapunov equation which provides a sufficient condition for robust stability of the entire networked control system. We then proceed to design a communications network which satisfies the derived network stability condition but has minimum number of links. Reducing the number of communication links implies minimization of the communication network´s cost and energy consumption.