| 带非局部低阶项非线性抛物型方程的时间最优控制 |
| |
| 引用本文： | 贾超华,冯德兴.带非局部低阶项非线性抛物型方程的时间最优控制[J].应用泛函分析学报,2008,10(2):123-138. |
| |
| 作者姓名： | 贾超华 冯德兴 |
| |
| 作者单位： | 1. 北京航空航天大学理学院数学系,教育部数学与信息行为重点实验室,北京,100083
2. 中国科学院数学与系统科学研究院,北京,100190 |
| |
| 摘 要： | 考虑一个带非局部低阶项非线性抛物型方程的时间最优控制问题．首先利用Schauder不动点定理证明了系统的适定性，然后利用Carleman不等式和Kakutani不动点定理证明了容许控制和最优控制的存在性，并且建立了时间最优控制的最大值原理．
|
| 关 键 词： | Carleman不等式 时间最优控制 最大值原理 |
The Time Optimal Control of a Nonlinear Parabolic Equation with a Nonlocal Lower Order Term |
| |
| JIA Chao-hua,FENG De-xing.The Time Optimal Control of a Nonlinear Parabolic Equation with a Nonlocal Lower Order Term[J].Acta Analysis Functionalis Applicata,2008,10(2):123-138. |
| |
| Authors: | JIA Chao-hua FENG De-xing |
| |
| Institution: | JIA Chao-hua, FENG De-xing( 1. Department of Applied Mathematics, LMIB of the Ministry of Education, Beijing University of Aeronautics and Astronautics, Beijing 100083, China ;2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China) |
| |
| Abstract: | This article is concerned with the time optimal control of a nonlinear parabolic equation with a nonlocal lower order term. The well-posedness of the system is proved by Schauder fixed point theorem. Applying Carleman inequality and Kakutani fixed point theorem, we show the existence of admissible controls and optimal control. The maximum principle for the time optimal control problem is established. |
| |
| Keywords: | carleman inequality time optimal control maximum principle |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
