Modal truncation for linear Hamiltonian systems: a physical energy approach

Benjamin Mourllion; Abderazik Birouche

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Modal truncation for linear Hamiltonian systems: a physical energy approach

机译：线性哈密顿系统的模态截断：一种物理能量方法

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This paper proposes a new criterion to select the eigenmodes to be left out in a modal truncation procedure. This criterion takes account of the dynamics of the system, on the one hand, and the input/output matrices of the system, on the other. Therefore, this approach is satisfactory from a system and control theory point of view. Moreover, this criterion is physically meaningful because its computation is directly linked with the physical energy supplied to each eigenmode.

机译：本文提出了一种新的准则来选择模态截断过程中要忽略的特征模式。该标准一方面考虑了系统的动态性，另一方面考虑了系统的输入/输出矩阵。因此，从系统和控制理论的角度来看，这种方法是令人满意的。而且，该标准在物理上是有意义的，因为其计算与提供给每个本征模的物理能量直接相关。

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来源
《Dynamical Systems》 |2013年第2期|187-202|共16页
作者
Benjamin Mourllion; Abderazik Birouche;
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作者单位

Laboratoire Modelisation, Intelligence, Processus et Systemes, MIPS, EA 2332/Equipe MIAM-UHA, ENSISA, 12 rue des Freres Lumiere, 68093 Mulhouse Cedex, France;

Laboratoire Modelisation, Intelligence, Processus et Systemes, MIPS, EA 2332/Equipe MIAM-UHA, ENSISA, 12 rue des Freres Lumiere, 68093 Mulhouse Cedex, France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
原文格式 PDF
正文语种 eng
中图分类
关键词
modal analysis; model order reduction; Hamiltonian system; H_∞-norm;

机译：模态分析模型订单减少;哈密顿系统H_∞范数;

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4. Port-Hamiltonian Systems: Network Modeling and Control of Nonlinear Physical Systems [C] . A.J. van der Schaft Courses and Lectures no.444; School on Advanced Dynamics and Control of Structures and Machines; 20020415-19; Udine(IT) . 2002

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6. Combinatorial optimization by simulating adiabatic bifurcations in nonlinear Hamiltonian systems [O] . Hayato Goto, Kosuke Tatsumura, Alexander R. Dixon 2019

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7. Balanced truncation of linear second-order systems: a Hamiltonian approach [O] . Hartmann, Carsten, Vulcanov, Valentina-Mira, Schutte, Christof 2010

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8. Hamiltonian with Linear Kinetic Energy for Systems of Many Bodies [R] . Cook, A. H. 1986

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Modal truncation for linear Hamiltonian systems: a physical energy approach

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