| 一类四阶偏微分多智能体系统的一致性控制 |
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| 引用本文： | 陈振杰 傅 勤 郁鹏飞 张 丹. 一类四阶偏微分多智能体系统的一致性控制[J]. 应用数学, 2021, 34(2): 448-456 |
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| 作者姓名： | 陈振杰 傅 勤 郁鹏飞 张 丹 |
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| 作者单位： | 苏州科技大学数学科学学院, 江苏 苏州 215009 |
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| 基金项目： | 国家自然科学基金(11971343)。 |
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| 摘 要： | 研究一类四阶偏微分多智能体系统的一致性控制问题,该类系统中的每个智能体是由四阶偏微分方程构建而成.针对系统的特点,通过构建合适空间上的Lyapunov泛函,得到分布式反馈控制律.当该反馈控制律作用于系统时,系统状态变量的一致性误差于L2(0,l)×L2(0,l)空间内收敛到零.最后,通过仿真算例验证了方法的有效性.
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| 关 键 词： | 偏微分多智能体系统 四阶偏微分方程 Lyapunov泛函 一致性控制 |
| 收稿时间： | 2020-05-26 |
Consensus Control for a Class of Fourth Order Partial Differential Multi-Agent Systems |
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| CHEN Zhenjie,FU Qin,YU Pengfei,ZHANG Dan. Consensus Control for a Class of Fourth Order Partial Differential Multi-Agent Systems[J]. Mathematica Applicata, 2021, 34(2): 448-456 |
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| Authors: | CHEN Zhenjie FU Qin YU Pengfei ZHANG Dan |
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| Affiliation: | (School of Mathematics Sciences,Suzhou University of Science and Technology,Suzhou 215009,China) |
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| Abstract: | In this paper,the consensus control problem for a class of four order partial differential multi-agent systems is studied,and each agent in the systems is constructed by a four order partial differential equation.According to the characteristics of the systems,the distributed feedback control law is obtained by constructing a Lyapunov functional on an appropriate space.When the feedback control law is applied to the systems,the consensus error of the state variable converges to zero on L2(0;l)×L2(0;l)space.Finally,the effectiveness of the method is verified by a simulation example. |
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| Keywords: | Partial differential multi-agent system Fourth order partial differential equation Lyapunov functional Consensus control |
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