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分数阶抛物方程控制系统最优控制的稳定性（英文） 被引量：1

STABILITY PROPERTIES FOR THE OPTIMAL CONTROL PROBLEM GOVERNED BY FRACTIONAL ORDER PARABOLIC EQUATIONS
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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. 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].
作者 郑国杰 马宝林 李钧涛
机构地区 河南师范大学数学与信息科学学院 河南科技学院数学科学学院
出处 《数学杂志》 CSCD 北大核心 2015年第4期800-808,共9页 Journal of Mathematics
基金 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)
关键词 抛物方程 分数阶 最优控制 稳定性 parabolic equations fractional order optimal control stability property
分类号 O231.4 [理学—运筹学与控制论]
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参考文献15

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二级参考文献3

  • 1Wang Gengsheng, Wang Lijuan. State-constrained optimal control governed by non-well-posed parabolic differential equations[J]. SIAM J. Control Optim., 2002, 40(5): 1517-1539.
  • 2Wang Gengsheng, Chen Shirong. Maximum principle for optimal control of some parabolic systems with two point boundary conditions[J]. Numer. Funct. Anal. Optim., 1999, 20(2): 163-174.
  • 3王高雄.常微分方程[M].北京:高等教育出版社,2001..

引证文献1

数学杂志
2015年 第4期

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