This chapter presents a framework for verifying stability and robustness of dynamical networks consisting of neutral subsystems subject to disturbances in the spirit of integral input-to-state stability. In addition to neutral-type delays in subsystems, time-delays are allowed to reside in both subsystems and interconnection channels. A small-gain condition is proposed for constructing a Lyapunov-Krasovskii functional to establish stability and robustness of the network. No assumption is made on the network topology .