摘要：AbstractThe paper is concerned with the PI control regulation of a star-shaped network of systems governed by hyperbolic partial differential equations. The control input and measured output are on the boundary. First, each system of the network is linearized and diagonalized with Riemann invariants. Then, by using Lyapunov direct method, the PI controller is proposed for a single system. Finally, we extend the PI control design for the star-shaped network of n subsystems. The exponential stability and output regulation of closed-loop systems are all proven with the aid of a strict Lyapunov functional.
关键词：KeywordsControl of hyperbolic systemsconservation lawsinfinite-dimensional multi-agent systemsnetworksstability of distributed parameter systemsoutput regulation for distributed parameter systemsLyapunov methods
