Abstract
In this paper, we consider the control problem of multi-agent systems with additive noises in the uncertain situation, (which means we are not sure about a particular probability space.) With mild condition, both $G$ -mean square convergence and $G$ -mean square steady-state error are analyzed by graph theory and $G$ -martingale convergence. Different from classical probability, weak convergence in capacity and weak convergence in capacity 1 are considered.
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