| 半线性热方程的反馈零能控性 |
| |
| 引用本文： | 刘宏超,岳红云.半线性热方程的反馈零能控性[J].系统科学与数学,2009,29(4):555-561. |
| |
| 作者姓名： | 刘宏超 岳红云 |
| |
| 作者单位： | 郑州大学数学系,郑州,450001;河南工业大学理学院,郑州,450001 |
| |
| 摘 要： | 考虑具有Lipschitz非线性项,半线性热方程的最优控制问题.我们将运用观测不等式,证明值函数ψ作为相应Hamilton-Jacobi方程的唯一粘性正解是局部Lipschitz连续的.最后,运用动态规划方法,得到系统最优的反馈控制.
|
| 关 键 词： | 最优控制 零能控性 反馈控制 值函数 Hamilton-Jacobi方程 |
| 收稿时间： | 2006-9-18 |
Feedback Null Controllability of the Semilinear Heat Equation |
| |
| LIU Hongchao,YUE Hongyun.Feedback Null Controllability of the Semilinear Heat Equation[J].Journal of Systems Science and Mathematical Sciences,2009,29(4):555-561. |
| |
| Authors: | LIU Hongchao YUE Hongyun |
| |
| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450001;College of Science, Henan University of Technology, Zhengzhou 450001 |
| |
| Abstract: | The quadratic control problem is considered for the semilinear heat equation with Lipschitz nonlinearity and associated cost function. It is proved that the valuefunction is locally Lipschitz using by the observability inequality and then can be characterized as the unique positive viscosity solution of the corresponding Hamilton-Jacobi equation. Consequently the optimal feedback law is obtained. |
| |
| Keywords: | Null controllability feedback law value function Hamilton-Jacobi equation |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
