Robustifying local feedback for dynamical networks with respect to disturbances

In this paper, a problem of designing decentralized robust controllers for dynamical networks is considered. For general topology of nonlinear networks, it is shown that integral input-to-state stability with respect to additive disturbances acting on subsystems can be achieved by local state feedback. The robustification is proven possible in the decentralized way if the network satisfies a small-gain condition.