Abstract

AbstractThis chapter mainly studies the distributed consensus problem in multi-agent systems with intermittent communication. First, consensus for second-order multi-agent systems with a fixed directed topology and synchronously intermittent communication constraints is investigated. It is proved that consensus in the second-order multi-agent systems with synchronously intermittent communication can be reached if the general algebraic connectivity of the communication topology is larger than a threshold value and the mobile agents communicate with their neighbors frequently enough as the network evolves with time. Then, the consensus problem is investigated for a class of second-order nonlinear multi-agent systems with synchronously intermittent measurements under strongly connected topology. By virtue of the Lyapunov stability analysis, it is proven that consensus in such multi-agent systems can be achieved exponentially under some suitable conditions. Furthermore, the results are extended to the case where the multi-agent systems have inherent delayed nonlinear dynamics and the interaction graph is balanced. Finally, consensus tracking problem is addressed for multi-agent systems with Lipschitz-type node dynamics and asynchronously intermittent communication.

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