Consensus gain conditions of stochastic multi-agent system with communication noise

This paper investigates the consensus gain conditions of the stochastic multi-agent system (SMAS) with communication noise. A new consensus stability condition of the SMAS is given when the consensus gain function c(t) does not satisfy the robustness condition of the consensus stability. Next we broaden the condition that the consensus-gain function c(t) always must be positive, and obtain the sufficient condition of the SMAS’s consensus stability when the consensus-gain function c(t)) is a negative constant. Finally, two simulation examples are given to illustrate the feasibility and effectiveness of the proposed results.

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