奇异摄动最优控制问题及其在非线性结构分析中的应用

IF 0.6 4区数学 Q4 MATHEMATICS, APPLIED

Applications of Mathematics Pub Date : 1996-01-01 DOI:10.21136/am.1996.134328

J. Lovísek

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引用次数: 1

摘要

总结。本文研究变分不等式中椭圆型奇异摄动的最优控制问题(控制也出现在系数、右侧和状态凸集中)。验证了最优控制的存在性。给出了该方法在含障碍物的小刚度弹塑性板的最优控制中的应用。对于边界有运动部分的弹塑性板，采用了原始有限元模型，得到了收敛结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Singular perturbations in optimal control problem with application to nonlinear structural analysis

Summary. This paper concerns an optimal control problem of elliptic singular perturba tions in variational inequalities (with controls appearing in coefficients, right hand sides and convex sets of states as well). The existence of an optimal control is verified. Applications to the optimal control of an elasto-plastic plate with a small rigidity and with an obstacle are presented. For elasto-plastic plates with a moving part of the boundary a primal finite element model is applied and a convergence result is obtained.

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来源期刊

Applications of Mathematics 数学-应用数学

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

3.0 months

期刊介绍： Applications of Mathematics publishes original high quality research papers that are directed towards applications of mathematical methods in various branches of science and engineering. The main topics covered include: - Mechanics of Solids; - Fluid Mechanics; - Electrical Engineering; - Solutions of Differential and Integral Equations; - Mathematical Physics; - Optimization; - Probability Mathematical Statistics. The journal is of interest to a wide audience of mathematicians, scientists and engineers concerned with the development of scientific computing, mathematical statistics and applicable mathematics in general.