A Lie-Group Approach for Nonlinear Dynamic Systems Described by Implicit Ordinary Differential Equations
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
15th International Symposium on Mathematical Theory of Networks and Systems, MTNS ’02
Sprache des Tagungstitel:
Englisch
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
Englischer Vortragstitel:
A Lie-Group Approach for Nonlinear Dynamic Systems Described by Implicit Ordinary Differential Equations
Englischer Tagungstitel:
15th International Symposium on Mathematical Theory of Networks and Systems, MTNS ’02
Englische 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.
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