Kurt Schlacher, Andreas Kugi, Kurt Zehetleitner,
"A Lie-Group Approach for Nonlinear Dynamic Systems Described by Implicit Ordinary Differential Equations"
: Proceedings 15th Int. Symposium on Mathematical Theory of Networks and Systems, on CD, 8-2002
Original Titel:
A Lie-Group Approach for Nonlinear Dynamic Systems Described by Implicit Ordinary Differential Equations
Sprache des Titels:
Englisch
Original Buchtitel:
Proceedings 15th Int. Symposium on Mathematical Theory of Networks and Systems, on CD
Original Kurzfassung:
This contribution presents a Lie-group based approach for the accessibility and the observability problem of dynamic systems described by a set of implicit ordinary differential equations. It is shown that non-accessible or non-observable systems admit Lie-groups acting on their solutions such that dinstinguished parts of the system remain unchanged. The presented methods use the fact that the dynamic sytem may be identified with a submanifold in a suitable jet-bundle. Therefore, a short introduction to this theory,as well as its application to systems of differential equations is presented.
Sprache der Kurzfassung:
Englisch
Erscheinungsmonat:
8
Erscheinungsjahr:
2002
Anzahl der Seiten:
11
Notiz zur Publikation:
Schlacher K., Kugi A., Zehetleitner K.: A Lie-Group Approach for Nonlinear Dynamic Systems Described by Implicit Ordinary Differential Equations In: CD-Proceedings 15th International Symposium on Mathematical Theory of Networks and Systems, MTNS ’02, August 12-16 2002, South Bend, USA, 2002
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