This paper studies the preset time consensus problem of singintegrator multi-agent systems for reaching the desired state in both undirected and directed communication networks. Two linear consensus protocols with time-varying gain are proposed. In fixed undirected networks, if the undirected topology is connected, the proposed protocol can achieve the consensus at the preset time even if only a portion of agents can obtain the desired state. In fixed directed networks, if the directed topology has a directed spanning tree, the proposed protocol can solve the consensus problem at a given preset time. Finally, numerical simulation results are presented to demonstrate the effectiveness of the theoretical results.
CITATION STYLE
Liu, C., Zhou, Q., & Liu, Y. (2014). Consensus of single-integrator multi-agent systems at a preset time. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8794, 431–441. https://doi.org/10.1007/978-3-319-11857-4_49
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