| 分数阶抛物方程控制系统最优控制的稳定性 |
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| 引用本文： | 郑国杰,马宝林,李钧涛.分数阶抛物方程控制系统最优控制的稳定性[J].数学杂志,2015,35(4):800-808. |
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| 作者姓名： | 郑国杰 马宝林 李钧涛 |
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| 作者单位： | 河南师范大学数学与信息科学学院, 河南 新乡 453007,河南科技学院数学科学学院, 河南 新乡 453003,河南师范大学数学与信息科学学院, 河南 新乡 453007 |
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| 基金项目： | Supported by National Natural Science Foundation of China under Grants (61203293);Key Foundation of Henan Educational Committee (13A120524;12B120006);College Young Teachers Program of Henan Province (2012GGJS-063);Fundamental and Frontier Technology Research Projects of Henan Province (132300410285). |
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| 摘 要： | 本文研究了一类分数阶抛物方程的最优控制问题,主要讨论了其最优控制与最优值的稳定性.利用了凸方法获得了获得了这类问题最优控制的稳定性结果,并且推广了在参考文献3]中的最优控制稳定性结论.
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| 关 键 词： | 抛物方程 分数阶 最优控制 稳定性 |
| 收稿时间： | 2014/4/30 0:00:00 |
| 修稿时间： | 2014/10/24 0:00:00 |
STABILITY PROPERTIES FOR THE OPTIMAL CONTROL PROBLEM GOVERNED BY FRACTIONAL ORDER PARABOLIC EQUATIONS |
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| ZHENG Guo-jie,MA Bao-lin and LI Jun-tao.STABILITY PROPERTIES FOR THE OPTIMAL CONTROL PROBLEM GOVERNED BY FRACTIONAL ORDER PARABOLIC EQUATIONS[J].Journal of Mathematics,2015,35(4):800-808. |
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| Authors: | ZHENG Guo-jie MA Bao-lin and LI Jun-tao |
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| Institution: | College of Math. and Inform. Sci., Henan Normal University, Xinxiang 453007, China,School of Math. Sci., Henan Institute of Science and Technology, Xinxiang, 453003, China and College of Math. and Inform. Sci., Henan Normal University, Xinxiang 453007, China |
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| Abstract: | In this paper,we study an optimal control problem governed by fractional order parabolic equations.We discuss the stability property for the optimal control and the optimal value.By the convex method,we obtain certain convergence properties for these controlled systems,and it is a general versions of the conclusion proved in reference 3]. |
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| Keywords: | parabolic equations fractional order optimal control stability property |
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