A Lyapunov-Krasovskii methodology for a class of large-scale systems with neutral-type delays in an iISS framework

Abstract

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.Asmall-gain condition is proposed for constructing aLyapunov-Krasovskii functional to establish stability and robustness of the network.No assumption ismade on the network topology.