文章基本信息

标题：Homogeneous Hamiltonian Control Systems Part I: Geometric Formulation
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作者：Arjan van der Schaft ; Bernhard Maschke
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：1-6
DOI：10.1016/j.ifacol.2018.06.001
语种：English
出版社：Elsevier
摘要：AbstractContact geometry has been successfully employed for the geometric formulation and control of systems containing thermodynamic components. In this paper we elaborate on the geometric theory of symplectization of contact manifolds in order to lift contact control systems to Hamiltonian control systems with a Hamiltonian that is homogeneous in the co-state variables. This provides a new view on contact control systems as used in thermodynamics, and offers possibilities for unifying the theories of contact control systems, Hamiltonian input-output systems and port-Hamiltonian systems.
关键词：KeywordsHamiltonian systemsnonlinear controlthermodynamicscontact geometryhomogeneous functionsinvariant Lagrangian manifoldsliftings