Consensus of a Kind of Dynamical Agents in Network with Time Delays

Abstract

This paper investigates the collective behavior of a class of dynamic agents with time delay in transmission networks. It is assumed that the agents are Lyapunov stable distributed on a plane and their location coordinates are measured by some remote sensors with certain error and transmitted to their neighbors. The control protocol is designed on the transmitted information by a linear decentralized law. The coordination of dynamical agents is shown under the condition that the error is small enough. Numerical simulations demonstrate that our theoretical results are effective.