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| 时变概率随机拓扑条件下高阶群系统一致性分析 | |
| 引用本文： | 王忠,席建祥,姚志成,刘光斌.时变概率随机拓扑条件下高阶群系统一致性分析[J].控制与决策,2014,29(7):1153-1159. |
| 作者姓名： | 王忠 席建祥 姚志成 刘光斌 |
| 作者单位： | 1. 第二炮兵工程大学控制工程系，西安710025； 2. 中国人民解放军96215部队，广西柳州545000. |
| 基金项目： | 国家自然科学基金项目(61374054)；陕西省自然科学基金项目(2013JQ8038). |
| 摘 要： | 在时变连接概率的随机拓扑条件下, 研究了离散时间高阶线性群系统的一致性问题. 首先, 给出一个依赖于相邻主体间拓扑连接概率和各个主体自身信息的随机控制协议; 然后, 应用状态空间分解法分析离散时间高阶线性群系统的一致性, 给出了在连接概率时变的随机拓扑条件下以概率为1 实现一致的充分必要条件; 进而, 确定了随机拓扑条件下离散时间高阶线性群系统的一致函数; 最后, 通过数值分析验证了所得出结论的正确性. |
| 关 键 词： | 时变概率|随机拓扑|高阶群系统|一致性 |
| 收稿时间： | 2013/5/15 0:00:00 |
| 修稿时间： | 2013/10/9 0:00:00 |
Consensus problems of high-order swarm system over random topologies with time-varying probability |
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| WANG Zhong XI Jian-xiang YAO Zhi-cheng LIU Guang-bin.Consensus problems of high-order swarm system over random topologies with time-varying probability[J].Control and Decision,2014,29(7):1153-1159. | |
| Authors: | WANG Zhong XI Jian-xiang YAO Zhi-cheng LIU Guang-bin |
| Abstract: | Consensus problems of high-order swarm system over random topologies with time-varying communication probability are investigated. Firstly, based on the random relative information of neighboring agents, distributed dynamic consensus protocols are proposed. Then, by using the state space decomposition approach to analyze discrete-time highorder multi-agent network, a necessary and sufficient condition for consensus over random topologies with probability 1 is given. Moreover, the explicit expression of the consensus function is presented via random topologies. Finally, numerical simulations demonstrate the correctness of the obtained theoretical results. |
| Keywords: | time-varying probability|random topologies|high-order swarm systems|consensus |
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