Control of Multi-Agent Systems with Distributed Delay

This study deals with the control of nonlinear multi- agent systems in which the interconnections among the agents can be modeled using distributed delay terms. It was shown that in the addressed multi-agent system class, the stabilization of the agent outputs can be performed with a prescribed precision. The proposed decentralized control approach combines passivity-based control, the synchronization of dynamic systems, and delay systems theory to achieve the control goal. As an application, the control of single-species migration networks with distributed delay was addressed. The setpoint control problem in such networks can be solved by extending the proposed passivity-based control with a suitably chosen feed-forward term. Simulation results are also provided to show the applicability of the proposed control strategy. Copyright (c) 2023 The Authors. This is an open access article under the CC BY-NC- ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)