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Approximate truncated balanced realizations for infinite dimensional systems

机译：无限维系统的近似截断平衡实现

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摘要

This paper presents an approximate method for obtaining truncated balance realizations of systems represented by non-rational transfer functions, that is infinite dimensional systems. It is based on the approximation to the Hankel operator.

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作者
Hartley, Tom T.; Deabreu-Garcia, J. Alex;
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年度 1991
页码 1-14
总页数 14
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
APPROXIMATION; DIMENSIONAL ANALYSIS; EIGENVALUES; EIGENVECTORS; HANKEL FUNCTIONS; INTEGRAL EQUATIONS; KERNEL FUNCTIONS; MATHEMATICAL MODELS; TRANSFER FUNCTIONS; APPLICATIONS OF MATHEMATICS; ERROR ANALYSIS; IMPULSES; INFINITY; SUPERSONIC INLETS;

机译：近似;多方面分析;特征值;特征向量;汉克尔函数;积分方程;内核功能;数学模型;转移功能;数学应用;错误分析;一时的冲动，无穷;超音速入口;

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1. A Proper Orthogonal Decomposition Approach To Approximate Balanced Truncation Of Infinite Dimensional Linear Systems [J] . John R. Singler, Belinda A. Batten International journal of computer mathematics . 2009,第2期

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2. Controller reduction by balanced truncation for infinite-dimensional, discrete-time systems [J] . Selig Tilman Mathematics of Control, Signals, and Systems: MCSS . 2015,第1期

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3. Balanced Truncation for Unstable Infinite Dimensional Systems Via Reciprocal Transformation [J] . Fatmawati, Roberd Saragih, Riyanto T. Bambang, International Journal of Control, Automation, and Systems . 2011,第2期

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4. On the connection between balanced proper orthogonal decomposition, balanced truncation, and metric complexity theory for infinite dimensional systems [C] . Djouadi Seddik M. 2010 American Control Conference . 2010

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5. Applications of Krylov Subspace and Balanced Truncation Model Order Reduction in Power Systems. [D] . Garrido Sanchez, Sebastian Emanuel. 2017

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6. Predicting chaos for infinite dimensional dynamical systems: the Kuramoto-Sivashinsky equation a case study. [O] . Y S Smyrlis, D T Papageorgiou 1991

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7. On Balanced Realization and Finite-dimensional Approximation for Infinite-dimensional Nonlinear Systems [O] . Kenji FUJIMOTO, Sayaka ONO 2008

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Approximate truncated balanced realizations for infinite dimensional systems

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