| 引用本文: | 葛富东,陈阳泉,寇春海.分数阶扩散系统子区域能控性研究的现状与发展[J].控制理论与应用,2023,40(8):1357~1364.[点击复制] |
| GE Fu-dong,CHEN Yang-quan,KOU Chun-hai.State-of-the-art and future directions for regional controllability of fractional diffusion systems[J].Control Theory and Technology,2023,40(8):1357~1364.[点击复制] |
|
| 分数阶扩散系统子区域能控性研究的现状与发展 |
| State-of-the-art and future directions for regional controllability of fractional diffusion systems |
| 摘要点击 3162 全文点击 397 投稿时间：2021-10-14 修订日期：2022-11-21 |
| 查看全文 查看/发表评论 下载PDF阅读器 |
| DOI编号 10.7641/CTA.2022.10978 |
| 2023,40(8):1357-1364 |
| 中文关键词 分数阶扩散系统 反常扩散过程 能控性 子区域能控性. |
| 英文关键词 fractional diffusion systems anomalous diffusion processes controllability regional controllability |
| 基金项目 国家自然科学基金项目(61907039), 湖北省自然科学基金项目(2022CFB268), 上海市自然科学基金项目(19ZR1400500) |
|
| 中文摘要 |
| 近年来, 随着分数阶微积分理论研究的不断深入, 分数阶扩散系统因更有效描述自然界和工程中的反常扩散现象而引起了学者们的广泛关注, 并取得了较为丰硕的研究成果. 然而, 据作者所知, 目前鲜有文献总结分数阶扩散系统子区域能控性研究的相关内容. 因此, 本文首先详细综述分数阶扩散系统能控性、子区域能控性的研究进展,并予以分析; 然后给出仍需解决的问题和可能的研究机遇. |
| 英文摘要 |
| In recent years, along with the in-depth study of fractional calculus, the investigation of fractional diffusion system has received considerable attention owing to their better performances for modeling the anomalous diffusion processes in nature and engineering. As a consequence, a large number of contributions have been gained as well. However, to the best of our knowledge, there exists no work on summarizing the recent contributions for regional controllability of the fractional diffusion systems and related results. To this end, in this paper, we first review and analyze the detailed research progresses for the controllability and the regional controllability of fractional diffusion systems. After that, the existing unsolved problems and the potential research opportunities are then articulated. |
|
|
|
|
|