The precise integration of the Riccati equation and its application in the optimal shape control

Guo-Feng Yao; Su-Huan Chen

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The precise integration of the Riccati equation and its application in the optimal shape control

机译：Riccati方程的精确积分及其在最佳形状控制中的应用

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摘要

In this paper, the Riccati equation in the structural optimal shape control is presented. A precise integration algorithm is introduced to deal with the structural dynamics. Finally, a numerical example and its application are given.

机译：本文提出了结构最优形状控制中的Riccati方程。引入了一种精确的积分算法来处理结构动力学。最后给出了一个数值例子及其应用。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2000年第1期|p.141-148|共8页
作者
Guo-Feng Yao; Su-Huan Chen;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化基础理论;工程基础科学;
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1. High level interior and boundary regularity results of the Euler-Bernoulli equation with application to Differential Riccati Equations in optimal control [J] . Triggiani R. Numerical Functional Analysis and Optimization . 1999,第3期

机译：Euler-Bernoulli方程的高阶内部和边界正则性结果及其在最优控制中的微分Riccati方程中的应用
2. A Memory-Efficient Formulation of Precise-Integration Time-Domain Method With Riccati Matrix Differential Equations [J] . IEEE Transactions on Magnetics . 2020,第2期

机译：具有Riccati矩阵微分方程的精确积分时域方法的高效存储公式化
3. A novel extended precise integration method based on Fourier series expansion for periodic Riccati differential equations [J] . Tan Shu-Jun, Zhou Wen-Ya, Peng Hai-Jun, Optimal Control Applications and Methods . 2017,第6期

机译：一种基于周期性Riccati微分方程傅立叶串联扩展的新型扩展精确集成方法
4. A class of integrable riccati equations and applications to optimal control [C] . Hu Yanxia 22nd Chinese Control and Decision Conference . 2010

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5. Constrained Hamilton-Jacobi Equations and Further Applications via Optimal Control Theory [D] . Kim, Yeon Eung. 2019

机译：约束的Hamilton-Jacobi方程及其通过最优控制理论的进一步应用
6. Optimal Control of Time-Delay Fractional Equations via a Joint Application of Radial Basis Functions and Collocation Method [O] . Shu-Bo Chen, Samaneh Soradi-Zeid, Hadi Jahanshahi, 2020

机译：通过径向基函数和搭配方法的关节应用优化时滞分数方程的最佳控制
7. A Precise Integration Algorithm for Matrix Riccati Differential Equations [O] . Wan-Xie Zhong, Jianping Zhu 2001

机译：矩阵Riccati微分方程的精确集成算法
8. The Riccati Integral Equation Arising in Optimal Control of Delay Differential Equations [R] . Kunisch, K. 1980

机译：时滞微分方程最优控制中的Riccati积分方程

The precise integration of the Riccati equation and its application in the optimal shape control

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