Abstract
This paper investigates a group consensus problem for multi-agent systems with fixed topologies. We focus on discussing the effect of the coupling strength among the agents in different groups, and obtain some conditions in form of linear matrix inequalities (LMIs) guaranteeing the group average consensus by using Lyapunov function methods. In order to study the effect of the coupling strength, we introduce two different parameters ã1, ã2 in the network topologies. Finally, illustrative examples are provided to demonstrate the effectiveness of the theoretical results with the two parameters.
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