具有时滞的多智能体连续时间系统的一致性问题

Yu Wei, Hongda Fan
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引用次数: 3

摘要

研究了存在无向连通图和不同时滞的网络化多智能体连续时间系统的信息一致性问题。分析表明了多智能体系统的信息一致性与连续时间系统的稳定性之间的本质关系。基于广义Nyquist稳定性判据和特征值理论,给出了存在无向连通图和输入时滞时多智能体连续系统一致性的充分条件。仿真结果与理论分析相吻合,在无向连通图条件下,当输入延迟小于或等于由充分条件给出的标准延迟时,多智能体系统可以渐近达成一致。
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Consensus problems in multi-agent Continuous-time systems with time-delays
This paper researches the problem of information consensus in networked multi-agent Continuous-time systems in the presence of undirected connected graph and different time delays. The analysis showed the essential relationship between the information consensus of multi-agent systems and the stability of continuous-time systems. Based on the theories of generalized Nyquist stability criterion and eigenvalue, it derived a sufficient condition to ensure the consensus of multi-agent continuous-time systems in the presence of undirected connected graph and input time delay. The simulation results coincide with the theoretical analysis, with the condition of undirected connected graph, and when the input delays are less than or equal to the standard delays given by the sufficient condition, the multi-agent systems can achieve consensus asymptotically.
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