Computer Algebra Tests on Identifiability of Nonlinear Implicit Systems
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
GAMM Anual Meeting 2005
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
In this contribution algorithms and methods for the investigation into properties of nonlinear implicit dynamic systems, also denoted differential algebraic equation systems (DAEs), are discussed. Especially the property identifiability of system parameters is investigated.
Two interesting questions can be posed in this context:
On the one side it may be of interest to ask for identifiability along a given solution trajectory of the system. Another point is the question whether there exists a trajectory through a given point in the state space
such that a predefined set of parameters is identifiable along this trajectory. Both questions are discussed and algorithms to test these properties are derived. In addition these basic questions are also discussed for the properties observability and accessibility along a solution trajectory. Emphasize is laid on the fact that the presented algorithms can be implemented in a computer algebra system and a specific implementation is provided.
Furthermore, with the help of an example it is shown that the application of the presented methods is beneficial also in the case of systems with no algebraic restrictions compared to algorithms which require the explicit form.
Sprache der Kurzfassung:
Englisch
Englischer Vortragstitel:
Computer Algebra Tests on Identifiability of Nonlinear Implicit Systems
Englischer Tagungstitel:
GAMM Anual Meeting 2005
Englische Kurzfassung:
In this contribution criteria on identifiability of system parameters of nonlinear implicit dynamical systems, also denoted differential algebraic equation systems (DAEs), are presented. Two interesting questions can be posed in this context: We ask for identifiability along a given trajectory and the existence of a trajectory through a given point in the state space such that the parameters are identifiable along it. A computer algebra algorithm to test these properties is provided. As a special case systems in explicit form are considered and a mechanical example is shown as application.