An approximation solution of the problem of optimal control over elliptic systems in domains of arbitrary form

V.V.Skopetskii; S.I.Lyashko; S.A.Voytsekhovskii

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An approximation solution of the problem of optimal control over elliptic systems in domains of arbitrary form

机译：椭圆形式系统最优控制问题的近似解

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摘要

A combination of the net method and method of fictitious domains is used for solving the problem of optimal control over elliptic systems in domains of arbitrary form. As is shown, the proposed difference scheme has the order or accuracy O(h~1/2)in the net norm w~1/2(ω).

机译：网络方法和虚拟域方法的组合用于解决任意形式域中椭圆系统的最优控制问题。如图所示，所提出的差分方案在净范数w〜1/2（ω）中具有阶数或精度O（h〜1/2）。

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来源
《Cybernetics and Systems Analysis》 |1999年第6期|p.847-852|共6页
作者
V.V.Skopetskii; S.I.Lyashko; S.A.Voytsekhovskii;
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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
elliptic systems in domains of arbitrary; theory of optimal control; net method;

机译：任意域中的椭圆系统;最优控制理论净方法;

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1. APPROXIMITE SOLUTION OF A CLASS OF OPTIMAL CONTROL PROBLEMS IN DOMAINS OF ARBITRARY FORM [J] . I.I.Lyashko, S.I.Lyashko, S.A.Voitsekhovskii Cybernetics and Systems Analysis . 2000,第1期

机译：任意形式域中一类最优控制问题的逼近解
2. Numerical solutions for optimal control problem governed by elliptic system on Lipschitz domains [J] . G. M. Bahaa, S. Khidr Journal of Taibah University for Science . 2019,第1期

机译：Lipschitz域上椭圆系统控制的最优控制问题的数值解
3. Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and solutions and with control in matching boundary conditions [J] . Lubyshev F. V., Manapova A. R., Fairuzov M. E. Computational mathematics and mathematical physics . 2014,第11期

机译：具有不连续系数和解且具有匹配边界条件下的控制的半线性椭圆型方程的最优控制问题的逼近
4. ANALYTICAL SOLUTION TO OPTIMAL RELOCATION OF SATELLITE FORMATION FLYING IN ARBITRARY ELLIPTIC ORBITS [C] . Han-Cheol Cho, Sang-Young Park, Sung-Moon Yoo, AAS/AIAA Space Flight Mechanics Meeting; 20070128-0201; Sedona,AZ(US) . 2007

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7. Optimal $L^2$-control problem in coefficients for a linear elliptic equation. II. Approximation of solutions and optimality conditions [O] . Thierry Horsin, Peter I. Kogut, Olivier Wilk 2016

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An approximation solution of the problem of optimal control over elliptic systems in domains of arbitrary form

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