Improved Consensus Conditions for Multi-Agent Systems with Uncertain Topology: The Generalized Transition Rates Case
Improved Consensus Conditions for Multi-Agent Systems with Uncertain Topology: The Generalized Transition Rates Case
复制标题
具有不确定拓扑的多代理系统的共识条件的改进：广义转换率案例
DOI：
10.1109/tnse.2019.2911713
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发表时间：
2020-07
影响因子：
6.6
通讯作者：
Jurgen Kurths
中科院分区：
文献类型：
--
作者：
Wang Xin;Wang Hui;Li chu;ong;Huang Tingwen;Jurgen Kurths
本文致力于研究一类多智能体系统(MASS)在马尔可夫切换、相互作用、拓扑结构和时变输入延迟下的一致性问题。基于这一考虑，我们首先提出了一个修正的互反凸不等式，称为时滞相关互易凸不等式(DRCI)，以得到LyapunovKrasovskii泛函(LKF)的时间导数的一个更紧的上界。因此，建立了一个改进的条件，其保守性用线性矩阵不等式(LMI)的形式表述得很好，使得具有马尔可夫切换拓扑和时变输入延迟的MAS能够逼近统一状态。此外，还系统地研究了马尔可夫开关拓扑的一般情形，即每个跃迁速率完全未知或仅知道其估计值的情形。此外，为了使我们的结果更有意义，我们还给出了几个关于允许输入延迟与其他相关结果的比较结果，这些结果给出了我们的共识条件，显著地改进了到目前为止所主张的现有条件。最后，通过仿真算例验证了该方法的正确性、有效性和实用性。
This paper is dedicated to addressing the consensusissues for a class of Multi-agent systems (MASs) subjected.to Markovian switching interaction topology and time-varying input delay. In line with this consideration, we firstly propose.a modified reciprocally convex inequality, named as Delaydependent Reciprocally Convex Inequality(DRCI) to obtain a.tighter upper bound about the time-derivative of LyapunovKrasovskii Functional(LKF). As a result, an improved condition.with less conservatism stated elegantly in terms of Linear matrix inequalities (LMIs) is established such that the MASs.with Markovian switching topology and time varying input delay can approach the unified state. Further, the general cases.of Markovian switching topology where each transition rate is completely unknown or just its estimate value is known.are systematically investigated as well. Moreover, to make our results more meaningful, several comparison results concerning.the admissible input delay against other related ones are also presented, which yield that our consensus conditions significantly.improve the existing ones advocated thus far. Finally, we verify the validity, the effectiveness, and the practical applicability of.our results in the simulation examples...
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