Mean-Square Consentability of Multiagent Systems With Nonidential Channel Fading

In this article, we are concerned with the consensus problem of multiagent system where the channels from each agent's control input to the plant are fading nonidentically. Two problems have been extensively studied. One is the consentable problem when the current state information is available for the controller. The other is that the state information is delayed for the controller in which we propose a novel predictorlike control protocol. It is obtained that the multiagent system with system matrices A = B = 1 is mean-square consentable for both problems. In particular, the mean-square consensus value is the average of all agents' initial states. Furthermore, for the multiagent system with general dynamics, sufficient conditions have been obtained in terms of two parameterized Riccati inequality/equation for both problems, respectively.

Automated summary

This article focuses on the consensus problem in multiagent systems, specifically addressing the issues caused by fading channels from control inputs to the plant. It proposes a novel predictorlike control protocol and concludes that the system is mean-square consensusable for specific system matrices. Additionally, sufficient conditions are obtained for multiagent systems with general dynamics using parameterized Riccati inequalities/equations.