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  • 标题:Homogeneous Hamiltonian Control Systems Part I: Geometric Formulation
  • 本地全文:下载
  • 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
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