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| 时变时滞与切换有向通信拓扑协议下线性多智能体系统一致性的平均驻留时间条件 | |
| 引用本文： | 张亚霄,陈阳舟.时变时滞与切换有向通信拓扑协议下线性多智能体系统一致性的平均驻留时间条件[J].控制与决策,2016,31(2):349-354. |
| 作者姓名： | 张亚霄 陈阳舟 |
| 作者单位： | 北京工业大学城市交通学院，北京100124. |
| 基金项目： | 国家自然科学基金项目(61273006, 6141101096)；高等学校博士学科点专项科研基金项目(20111103110017). |
| 摘 要： | 研究时变时滞与切换有向通信拓扑协议下高阶连续时间线性多智能体系统的一致性问题. 利用一个线性变换将该问题等价转化为一个切换时滞系统的稳定性问题. 假定出现的每一个通信拓扑都是可一致的, 借助时滞切换系统稳定性的平均驻留时间方法, 以线性矩阵不等式(LMIs) 形式给出多智能体系统达到全局一致的充分条件. 数值实例验证了结果的正确性. |
| 关 键 词： | 多智能体系统|一致性|切换有向通信拓扑|时变时滞|平均驻留时间|线性矩阵不等式 |
| 收稿时间： | 2015/3/21 0:00:00 |
| 修稿时间： | 2015/6/16 0:00:00 |
Average dwell-time condition for consensus of linear multi-agent systems with time-varying delay and switching directed communication topologies protocol |
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| ZHANG Ya-xiao CHEN Yang-zhou.Average dwell-time condition for consensus of linear multi-agent systems with time-varying delay and switching directed communication topologies protocol[J].Control and Decision,2016,31(2):349-354. | |
| Authors: | ZHANG Ya-xiao CHEN Yang-zhou |
| Abstract: | The consensus problem is investigated for high-order continuous-time linear multi-agent systems with timevarying delay protocol over switching directed communication topologies. By using a linear transformation, the consensus problem is equivalently transformed into the asymptotic stability problem of a corresponding switched delay system. Under the assumption that each of the communication topologies is consensusable, with the help of the scheme of average dwelltime in switched systems, a sufficient condition is presented in terms of linear matrix inequalities(LMIs) to guarantee the consensus of the agents. Simulation result shows the effectiveness of the obtained results. |
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