Abstract
Understanding how interacting subsystems of an overall system lead to cluster/group consensus is a key issue in the investigation of multi-agent systems. In this Letter, we study the L 1 group consensus problem of discrete-time multi-agent systems with external stochastic inputs. Based on ergodicity theory and matrix analysis, L 1 group consensus criteria are obtained for multi-agent systems with switching topologies. Some numerical examples are provided to illustrate the effectiveness and feasibility of the theoretical results. • A multi-agent system with sub-group structure and switching topology is proposed. • General external stochastic inputs are modelled. • A sufficient condition for L 1 group consensus is obtained.
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