Steady-State Matching and Model Reduction for Systems of Differential–Algebraic Equations

Giordano Scarciotti

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Steady-State Matching and Model Reduction for Systems of Differential–Algebraic Equations

机译：微分-代数方程组的稳态匹配和模型简化

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摘要

The problem of model reduction for nonlinear differential-algebraic systems is addressed using the notions of moment and of steady-state response. These notions are formally introduced for this class of systems and families of nonlinear differential-algebraic reduced-order models achieving moment matching with additional properties are presented. Stronger results for the special class of linear singular systems are provided. Two simple examples illustrate the proposed technique.

机译：非线性微分代数系统的模型约简问题使用矩和稳态响应的概念解决。这些概念针对此类系统进行了正式介绍，并介绍了非线性微分代数降阶模型族，这些模型实现了具有附加属性的矩匹配。对于特殊类别的线性奇异系统，提供了更强的结果。两个简单的例子说明了所提出的技术。

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来源
《IEEE Transactions on Automatic Control》 |2017年第10期|5372-5379|共8页
作者
Giordano Scarciotti;
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作者单位

Department of Electrical and Electronic Engineering, Imperial College London, London, U.K.;

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正文语种 eng
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关键词
Mathematical model; Reduced order systems; Steady-state; Nonlinear systems; Stability analysis; Signal generators; Trajectory;

机译：数学模型;降阶系统;稳态;非线性系统;稳定性分析;信号发生器;轨迹;

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1. Nonlinear Algebraic Differential Systems Admitting Reduction to Nondegenerate Systems of Ordinary Differential Equations: Theory and Numerical Methods of Solution [J] . Yu. E. Boyarintsev Numerical analysis and applications . 2010,第1期

机译：非线性代数微分系统允许还原到常微分方程的非退化系统：解的理论和数值方法
2. Order-reduction Strategy of Non-linear Differential-algebraic Equation Models with Application on Power Systems [J] . A. LOPEZ RIOS, A. R. MESSINA Electric Power Components and Systems . 2012,第13a16期

机译：非线性微分代数方程模型的降阶策略及其在电力系统中的应用
3. Model-order reduction for differential-algebraic equation systems with higher index* [J] . Chun-Yue Chen, Yao-Lin Jiang Journal of Process Control . 2014,第1期

机译：具有较高索引的微分-代数方程组的模型阶约*
4. The Effect of Algebraic Equations on the Stability of Process Systems Modelled by Differential Algebraic Equations [C] . B. Pongracz, G. Szederkenyi, K. M. Hangos European Symposium of the Working Party on Computer Aided Process Engineering . 2003

机译：代数方程对差分代数方程建模的过程系统稳定性的影响
5. Dynamical System Analysis and Data-driven Model Selection for Differential-algebraic Equation Models of Microbial Electrolysis [D] . Dudley, Harry J. 2020

机译：微生物电解差分 - 代数方程模型的动态系统分析和数据驱动模型选择
6. Systems of Algebraic Differential Equations [O] . J. F. Ritt 1931

机译：代数微分方程组
7. Steady-state matching and model reduction for systems of differential-algebraic equations [O] . Scarciotti, G 2017

机译：微分代数方程组的稳态匹配与模型简化
8. Maximum Weighted Matching for High Index Differential Algebraic Equations [R] . Bujakiewicz, P. 1993

机译：高折射率微分代数方程的最大加权匹配

Steady-State Matching and Model Reduction for Systems of Differential–Algebraic Equations

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