Mean Square Quasi-Average Group Consensus of Multi-Agent Systems with Communication Noises

This paper focus on the mean square quasi-average group consensus issue for stochastic multi-agent systems (SMASs) with cooperative and competitive network, where the information exchange is disturbed by additive noises. By the its neighbors' information, a stochastic approximation controller with a time-varying gain is designed to achieve the quasi-group consensus for SMASs with communication noises over cooperative and competitive network. By utilizing graph theory, It ô 's formula and stochastic theory, some sufficient criterions for quasi-average group consensus problem of multi-agent systems are given, if the time-varying gain satisfies some mild requirements and the graph is connected. Finally, we verify the main results via a numerical example.