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### 一类四阶抛物型偏微分多智能体系统的协调控制

1. 苏州科技大学 数学科学学院, 苏州  215009
• 出版日期:2018-04-25 发布日期:2021-06-25

CHEN Zhenjie , FU Qin, YU Pengfei , ZHANG Dan. Coordinated Control for a Class of Fourth Order Parabolic Partial Differential Multi-Agent Systems[J]. Journal of Systems Science and Mathematical Sciences, 2021, 41(4): 898-912.

### Coordinated Control for a Class of Fourth Order Parabolic Partial Differential Multi-Agent Systems

CHEN Zhenjie ,FU Qin, YU Pengfei ,ZHANG Dan

1. School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou 215009
• Online:2018-04-25 Published:2021-06-25

In this paper, the coordination control problem for a class of partial differential multi-agent systems is studied, and each agent in this kind of systems is constructed by the fourth order parabolic partial differential equation. According to the characteristics of the system, the distributed feedback control law is obtained by constructing a Lyapunov functional on an appropriate space. When the feedback control law is used to the system, the coordination error of the state variable converges to zero on ${L^2}{\rm{(0,}}1{\rm{)}}$ space. Finally, a simulation example is given to show the effectiveness of the proposed method.
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