Nonlinear Behavioral Balancing by Extension of Lie Semigroups

Ricardo Lopezlena, Jacquelien M.A. Scherpen

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Abstract

Previously, a balancing condition for nonlinear systems was introduced. This paper provides an extended justification of such balancing condition in terms of semigroups of diffeomorphisms in a Hilbert submanifold framework. Moreover, it is argued that when such condition is satisfied the resulting group of diffeomorphisms describes the flow of the nonlinear system. Using the same framework the nonlinear behavioral operator is defined and a result regarding its spectral properties is presented.
Original languageEnglish
Title of host publication3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
EditorsFrancesco Bullo, Kenji Fujimoto
PublisherUniversity of Groningen, Research Institute of Technology and Management
Pages215-220
Number of pages6
Publication statusPublished - 2006
Event3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Nagoya, Japan -
Duration: 19-Jul-200621-Jul-2006

Conference

Conference3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Nagoya, Japan
Period19/07/200621/07/2006

Keywords

  • geometric approaches
  • differential geometric methods
  • model reduction
  • model approximation
  • nonlinear systems

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