On control of strong consensus for networked agents with noisy observations

On control of strong consensus for networked agents with noisy observations
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关于具有噪声观测的网络代理的强共识控制

DOI:
10.1007/s11424-011-1015-8
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发表时间:
2011-06
影响因子:
2.1
通讯作者:
Chen, Han-Fu
Chen, Han-Fu
中科院分区:
数学3区
文献类型:
--
作者:
Fang, Haitao;Wen, Lei;Chen, Han-Fu

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研究了带通信噪声的离散时间一阶多智能体网络。基于噪声观测,给出了固定拓扑和时变拓扑网络的一致性控制。通过随机逼近算法更新闭环网络中智能体的状态,将网络的一致性分析转化为随机逼近算法的收敛性分析。对于具有固定拓扑结构的网络,如果与网络相关联的图是连通的,则所提出的共识控制以概率1导致代理的共识。在时变拓扑的情况下,如果图在固定的时间段内是联合连通的,则得到类似的结果。与现有的结果相比,这里考虑的网络是在一个更一般的设置在较弱的假设和强的共识是建立一个简单的证明。
The discrete-time first-order multi-agent networks with communication noises are under consideration. Based on the noisy observations, the consensus control is given for networks with both fixed and time-varying topologies. The states of agents in the resulting closed-loop network are updated by a stochastic approximation (SA) algorithm, and the consensus analysis for networks turns to be the convergence analysis for SA. For networks with fixed topologies, the proposed consensus control leads to consensus of agents with probability one if the graph associated with the network is connected. In the case of time-varying topologies, the similar results are derived if the graph is jointly connected in a fixed time period. Compared with existing results, the networks considered here are in a more general setting under weaker assumptions and the strong consensus is established by a simpler proof.
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