Kurt Zehetleitner, Kurt Schlacher,
"Computer algebra algorithms for the test on accessibility and observability for implicit dynamical systems"
: Computer algebra algorithms for the test on accessibility and observability for implicit dynamical systems, 2003

Original Titel:

Computer algebra algorithms for the test on accessibility and observability for implicit dynamical systems

Sprache des Titels:

Englisch

Original Buchtitel:

Computer algebra algorithms for the test on accessibility and observability for implicit dynamical systems

Original Kurzfassung:

This contribution is devoted to computer algebra based algorithms for the analysis of systems of implicit ordinary differential equations. These systems are identified with submanifolds in a suitable jet space. It is outlined how the accessibility and observability test for implicit ordinary differential equations can be solved in an approach utilizing transformation groups, which has been already published. Since this approach requires systems in formally integrable form, an algorithm for the derivation of this form is presented and it is shown, how Groebner bases can be successfully applied in the case of implicit systems with polynomial nonlinearities. In addition, the algorithms for the tests on observability and accessiblity according to the proposed approach are sketched.

Sprache der Kurzfassung:

Englisch

Englische Kurzfassung:

This contribution is devoted to computer algebra based algorithms for the analysis of systems of implicit ordinary differential equations. These systems are identified with submanifolds in a suitable jet space. It is outlined how the accessibility and observability test for implicit ordinary differential equations can be solved in an approach utilizing transformation groups, which has been already published. Since this approach requires systems in formally integrable form, an algorithm for the derivation of this form is presented and it is shown, how Groebner bases can be successfully applied in the case of implicit systems with polynomial nonlinearities. In addition, the algorithms for the tests on observability and accessiblity according to the proposed approach are sketched.

Erscheinungsjahr:

2003

Anzahl der Seiten:

6

Notiz zur Publikation:

Zehetleitner K., Schlacher K.: Computer algebra algorithms for the test on accessibility and observability for implicit dynamical systems In: CD Proceedings European Control Conference ECC 2003, September 1-4, Cambridge, UK, 2003.