Kurt Zehetleitner, Kurt Schlacher,
"Computer Algebra Methods for Implicit Dynamic Systems and Applications"
, in Mathematics and Computers in Simulation, Elsevier Verlag, Seite(n) 111-123, 2004, ISSN: 0378-4754
Original Titel:
Computer Algebra Methods for Implicit Dynamic Systems and Applications
Sprache des Titels:
Englisch
Original Kurzfassung:
This contribution deals with the application of computer algebra methods to the analysis of systems of implicit ordinary differential equations. These systems are identified with submanifolds in a suitable jet space. We propose an implementation of the accessibility and observability analysis for implicit ordinary differential equations based on Lie group methods. Since this approach requires that the system of equations is formally integrable, we present an algorithm which converts the given system into this form. In addition, it is shwon how the efficiency of the stated algorithms can be improved for polynomial systems with the application of Groebner bases. The presented algorithms are applied to the model of the PVTOL aircraft.
Sprache der Kurzfassung:
Englisch
Journal:
Mathematics and Computers in Simulation
Veröffentlicher:
Elsevier Verlag
Seitenreferenz:
111-123
Erscheinungsjahr:
2004
ISSN:
0378-4754
Anzahl der Seiten:
13
Notiz zur Publikation:
Zehetleitner K., Schlacher K.: Computer Algebra Methods for Implicit Dynamic Systems and Applications In: Mathematics and Computers in Simulation, In: Mathematics and Computers in Simulation, Vol. 67, No. 1-2, ISSN: 0378-4754, pp. 111-123, 2004.
Forschungs-