Stabilization of large-scale systems with non-linear perturbations via local feedback

The problem of robust stability for large-scale systems made of several non-linearly perturbed subsystems is considered. A stabilizing local state feedback is applied to each subsystem and the bound of permissible perturbations in each subsystem is obtained. The derived results are also applicable to the case when the perturbation in each subsystem is non-linear and time-varying. Finally, the relation between the perturbation and the local control law is established.