Abstract

The paper investigates adaptive consensus problems for continuous-time second-order multi-agent systems under undirected topologies. When adaptive gains in the consensus protocols are disturbed by stochastic noises, sufficient conditions for mean square consensus of multi-agent systems are given. By the graph theory and Lyapunov function, adaptive static consensus protocols based on nodes are designed, which is different from the existing literatures. Finally, simulation examples are provided to illustrate the effectiveness of our proposed methods in the paper.

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