文章基本信息

标题：Discrete-time port-Hamiltonian systems based on Gauss-Legendre collocation ⁎
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作者：Paul Kotyczka ; Laurent Lefèvre
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：3
页码：125-130
DOI：10.1016/j.ifacol.2018.06.035
语种：English
出版社：Elsevier
摘要：AbstractWe introduce a family of discrete-time lossless input-state-output port-Hamiltonian systems based on numerical time integration with symplectic collocation schemes. For systems with non-zero input, symplecticity extends to the conservation of a discrete energy balance, based on which a discrete-time Dirac structure is defined. Using Gauss-Legendre collocation, the corresponding quadrature formula allows to quantify the discretization error for the supplied energy. On a linear example, backward error analysis and numerical experiments are performed in order to illustrate the accuracy of the resulting structure-preserving integration schemes.
关键词：KeywordsPort-Hamiltonian systemsDirac structuresdiscrete-time systemsgeometric numerical integrationsymplectic methods