复杂多个体时滞网络系统的脉冲一致性
首发时间:2009-07-07
摘要:本文从动力学与控制的角度考虑具有固定与切换拓扑有向多个体时滞网络系统的平均一致性问题。基于时滞动力系统的脉冲控制理论,提出了在通讯时滞环境中两个网络的脉冲一致性协议,并给出了寻求相应平均一致性问题的简单而又一般的判据。本文工作最显著的特征是提出的第一个一致性协议对于任意的通讯时滞是有效的,第二个一致性协议能够使得整个网络指数地达到平均一致。所获得结果表明,一致性协议中的脉冲增益在寻求平均一致性问题中具有相当重要的作用。最后模拟结果验证了理论结果的正确性。
关键词: 一致性问题 多个体时滞网络系统 有向网络 固定和切换拓扑 一致性协议 脉冲增益
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Impulsive Consensus Problem in Delayed Networks of Multi-Agents
Abstract:This paper considers average consensus problem in directed delayed networks of dynamic agents having fixed topology as well as switching topology from the views of dynamics and control. Based on impulsive control theory on delayed dynamical systems, two consensus protocols of the networks with communication delays are proposed, and some simple yet generic criteria for solving the average consensus problem are derived analytically. The distinctive features of the works indicate that the first consensus protocol is valid for any communication delays, and the second one is effective for all the nodes of the network achieving average consensus globally exponentially. It is shown that the impulsive gain in the protocols play a key role in seeking average consensus problems. Simulations results are finally presented that are consistent with the theoretical results.
Keywords: Consensus problem delayed networks of multi-agents directed networks fixed and switching topology impulsive consensus protocols impulsive gain
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