| 引用本文: | 王芳,陈鑫,何勇,吴敏.联合连通条件下的二阶多智能体系统有限时间一致性控制[J].控制理论与应用,2014,31(7):981~986.[点击复制] |
| WANG Fang,CHEN Xin,HE Yong,WU Min.Finite-time consensus control of second-order multi-agent systems with jointly-connected topologies[J].Control Theory & Applications,2014,31(7):981~986.[点击复制] |
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| 联合连通条件下的二阶多智能体系统有限时间一致性控制 |
| Finite-time consensus control of second-order multi-agent systems with jointly-connected topologies |
| 摘要点击 5195 全文点击 2784 投稿时间：2014-02-08 修订日期：2014-06-04 |
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| DOI编号 10.7641/CTA.2014.40083 |
| 2014,31(7):981-986 |
| 中文关键词 多智能体系统 无领导者 有限时间一致性 时变动态拓扑 联合连通 |
| 英文关键词 multi-agent systems leaderless finite-time consensus time-varying dynamic topologies jointly-connected topologies |
| 基金项目 国家自然科学基金资助项目(61074058); 国家杰出青年科学基金资助项目(61125301). |
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| 中文摘要 |
| 针对时变动态拓扑下无 leader 的二阶多智能体系统有限时间一致性控制问题, 本文给出有限时间一致性协 议, 并对所提出的一致性协议进行理论分析. 基于图论、Lyapunov稳定性理论、同次性理论和积分不等式方法, 证明 了当通信拓扑为联合连通时, 有限时间一致性协议可保证系统在有限时间达到一致. 最后给出仿真结果, 验证了理 论的有效性. |
| 英文摘要 |
| For the second-order multi-agent systems with no leader and time-varying dynamic topologies, this paper discusses the finite-time consensus protocol, and gives the theoretical analysis on the proposed protocol. Based on the graph theory, Lyapunov stability theory, homogeneity with dilation and integral inequality, the finite-time consensus protocol guarantees that the systems reach the finite-time consensus with the jointly-connected topologies. Finally, some simulation results are given to illustrate the effectiveness of our theoretical results. |