A Lie-Group Approach for Nonlinear Dynamic Systems Described by Implicit Ordinary Differential Equations

Description

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.

Period	13 Aug 2002
Event title	15th International Symposium on Mathematical Theory of Networks and Systems, MTNS ’02
Event type	Conference
Location	United StatesShow on map