The Parameterization Method in Singular Differential-Algebraic Equations

机译：奇异微分-代数方程的参数化方法

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The paper is devoted to the circumstantiation of the parameterization method for classical calculus of variation problems corresponding to the non-linear ODEs. The method is based on a finite parameterization of "control" functions (finitely entering in initial system) and on derivation of the problem functional with respect to control parameters. The first and the second derivatives are calculated with the help of adjoint vector and matrix impulses. The problems of arising degeneration of gradients and optimality conditions of the first order are overcome by using the Newton method. Results of the solution to degenerate DAEs, particularly with non-unique solutions, are presented.

机译：本文致力于对与非线性ODE相对应的经典变分演算的参数化方法进行实例化。该方法基于“控制”功能的有限参数化（必须在初始系统中有限输入）以及基于控制参数的问题功能的推导。一阶和二阶导数是在伴随矢量和矩阵脉冲的帮助下计算的。通过使用牛顿法，可以克服梯度下降和一阶最优条件引起的问题。给出了退化DAE的解决方案的结果，尤其是使用非唯一解决方案时。

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《International Conference on Computational Science - ICCA 2003 Pt.2 Jun 2-4, 2003 Melbourne, Australia and St. Petersburg, Russia》|2003年|p.483-491|共9页
会议地点 Melbourne(AU) St. Petersburg(RU);Melbourne(AU) St. Petersburg(RU)
作者
Vladimir K. Gorbunov; Igor V. Lutoshkin;
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Ulyanovsk State University, L.Tolstoy street 42, 432970 Ulyanovsk, Russia;

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原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
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机译：奇异差分代数方程中的参数化方法

The Parameterization Method in Singular Differential-Algebraic Equations

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