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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. |
| 关键词: 抛物方程 分数阶 最优控制 稳定性 |
| DOI： |
| 分类号:O231.4 |
| 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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| STABILITY PROPERTIES FOR THE OPTIMAL CONTROL PROBLEM GOVERNED BY FRACTIONAL ORDER PARABOLIC EQUATIONS |
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ZHENG Guo-jie,MA Bao-lin,LI Jun-tao
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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]. |
| Key words: parabolic equations fractional order optimal control stability property |
