Approximate solution of optimization problems for infinite-dimensional singular systems

S. Ya. Serovaiskii

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Approximate solution of optimization problems for infinite-dimensional singular systems

机译：无限维奇异系统最优化问题的近似解

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摘要

An optimal control problem is considered for system described by a singular equation of parabolic type. The study bases on a special regularization method. We establish existence of a solution to the regularized problem, as well as the corresponding necessary optimality conditions. The results enable us to find an approximate solution to the original problem even in the absence of solvability.

机译：对于由抛物型奇异方程描述的系统，考虑了最优控制问题。该研究基于一种特殊的正则化方法。我们建立了正则化问题的解的存在以及相应的必要最优性条件。结果使我们能够找到原始问题的近似解决方案，即使没有可解性。

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《Siberian Mathematical Journal》 |2003年第3期|共10页
作者
S. Ya. Serovaiskii;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
optimal control; singular system; regularization; approximate solution;

机译：最优控制;奇异系统;正则化;近似解;

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专利

1. Approximate solution of optimization problems for infinite-dimensional singular systems [J] . S. Ya. Serovaiskii Siberian Mathematical Journal . 2003,第3期

机译：无限维奇异系统最优化问题的近似解
2. The reduction method for approximative solution of systems of Singular Integro-Differential Equations in Lebesgue spaces (case γ ≠ 0) [J] . Feras M. Al Faqih, Iurie Caraus, Nikos E. Mastorakis WSEAS Transactions on Mathematics . 2014,第Pta1期

机译：Lebesgue空间（情形γ≠0）中奇异积分-微分方程组的近似解的简化方法
3. Approximate Solution of Systems of Singular Integro-Differential Equations by Reduction Method in Generalized Holder spaces [J] . Feras M. Al Faqih, Nikos E. Mastorakis, Iurie Caraus WSEAS Transactions on Mathematics . 2012,第7a9期

机译：广义Holder空间中奇异积分微分方程组的约简方法的近似解。
4. Evolutionary Optimization Method for Approximating the Solution Set Hull of Parametric Linear Systems [C] . Iwona Skalna Numerical Methods and Applications; Lecture Notes in Computer Science; 4310 . 2006

机译：近似参数线性系统解集外壳的进化优化方法
5. Noncollocated control of infinite-dimensional systems using an H-infinity mixed-sensitivity optimization. [D] . Waligurski, Robert Joseph. 2000

机译：使用H无限混合灵敏度优化对无限维系统进行非共置控制。
6. Approximate Series Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology [O] . Randhir Singh, Jitendra Kumar, Gnaneshwar Nelakanti -1

机译：生理学中非线性奇异边值问题的近似级数解
7. Evaluation of jacobian matrices for Newton’s method with deflation to approximate isolated singular solutions of polynomial systems [O] . Anton Leykin, Jan Verschelde, Ailing Zhao 2005

机译：用紧缩法估计牛顿法雅可比矩阵的多项式系统近似孤立奇异解
8. Approximate solution of system of singular integral equations [R] . Erdogan, F. 1968

机译：奇异积分方程组的近似解

Approximate solution of optimization problems for infinite-dimensional singular systems

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