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 language | English |
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Title of host publication | 3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control |
Editors | Francesco Bullo, Kenji Fujimoto |
Publisher | University of Groningen, Research Institute of Technology and Management |
Pages | 215-220 |
Number of pages | 6 |
Publication status | Published - 2006 |
Event | 3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Nagoya, Japan - Duration: 19-Jul-2006 → 21-Jul-2006 |
Conference
Conference | 3rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, Nagoya, Japan |
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Period | 19/07/2006 → 21/07/2006 |
Keywords
- geometric approaches
- differential geometric methods
- model reduction
- model approximation
- nonlinear systems