PDE-Based Leader-Following Consensus of Multi-Agent Systems with Input Delay under Spatial Boundary Communication

Abstract

This paper studies the leader-following consensus problem for a class of multi-agent systems with input delay via spatial boundary communication. The multi-agent systems are modelled by a class of linear hyperbolic partial differential equations (PDEs). By considering the input delay and adopting some transformations, a novel PDE stability problem is formulated. Then, based on the spatial boundary communication scheme and Lyapunov stability theory, a boundary controller is developed to ensure the stability of the PDE system. Finally, the derived results are verified via a numerical simulation.