摘要：AbstractThis paper presents a tight small-gain theorem for networks composed of infinitely many finite-dimensional subsystems. Assuming that each subsystem is exponentially input-to-state stable, we show that if the gain operator, collecting all the information about the internal Lyapunov gains, has a spectral radius less than one, the overall infinite network is exponentially input-to-state stable. We illustrate the effectiveness of our result by applying it to traffic networks.
关键词：KeywordsNonlinear systemssmall-gain theoremsinfinite-dimensional systemsinput-to-state stabilityLyapunov methodslarge-scale systems
