A priori error estimates for optimal control problems with state and control constraints

Zhou Lixin

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A priori error estimates for optimal control problems with state and control constraints

机译：先验误差估算状态和控制约束的最佳控制问题

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The Galerkin spectral method is used to approximate elliptic optimal control problems with integral state and control constraints in this paper. We derive the optimality conditions for the control problems by E. Casas' results, then a priori error estimates are provided. Some numerical examples are investigated to confirm the theoretical results and to show the efficiency of the proposed method.

机译：Galerkin光谱法用于近似与本文积分状态和控制约束的椭圆最优控制问题。我们通过E. CASAS的结果获得了控制问题的最优性条件，然后提供了先验的错误估计。研究了一些数值例子以确认理论结果，并展示所提出的方法的效率。

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来源
《Optimal Control Applications and Methods》 |2018年第3期|共14页
作者
Zhou Lixin;
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作者单位

Guilin Univ Aerosp Technol Fac Sci Guilin 541004 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
elliptic equations; error estimates; optimal control; spectral method;

机译：椭圆方程式;错误估计;最优控制;光谱法;

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专利

1. A priori error estimates for optimal control problems with state and control constraints [J] . Zhou Lixin Optimal Control Applications and Methods . 2018,第3期

机译：先验误差估算状态和控制约束的最佳控制问题
2. A priori error estimates for optimal control problems with pointwise constraints on the gradient of the state [J] . C. Ortner, W. Wollner Numerische Mathematik . 2011,第3期

机译：对状态梯度有点约束的最优控制问题的先验误差估计
3. Optimal a priori error estimates of parabolic optimal control problems with pointwise control [J] . Leykekhman D., Vexler B. SIAM Journal on Numerical Analysis . 2013,第5期

机译：具有逐点控制的抛物型最优控制问题的最优先验误差估计
4. A priori error estimates of mixed methods for bilinear elliptic optimal control problems with integral constraint [C] . Lu Zuliang, Huang Xiao 2011 6th IEEE Joint International Information Technology and Artificial Intelligence Conference . 2011

机译：具有线性约束的双线性椭圆最优控制问题混合方法的先验误差估计
5. Controlling computer adaptive testing's capitalization on chance errors in item parameter estimates [D] . Willse, John Taylor. 2002

机译：控制计算机自适应测试对项目参数估计中机会错误的资本化
6. A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem [O] . Lin Li, Zuliang Lu, Wei Zhang, -1

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7. A PRIORI ERROR ESTIMATES FOR SPACE-TIME FINITE ELEMENT DISCRETIZATION OF PARABOLIC OPTIMAL CONTROL PROBLEMS PART I: PROBLEMS WITHOUT CONTROL CONSTRAINTS [O] . Dominik Meidner, Boris Vexler 2012

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8. Priori Error-Controlled Simulation of Electromagnetic Phenomena for HPC. [R] . He, X., Munipalli, R., Hagstrom, T. 2013

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A priori error estimates for optimal control problems with state and control constraints

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