Computer Algebra Methods for Implicit Dynamic Systems and Applications in Robotics and Electrical Drives
Sprache des Vortragstitels:
Englisch
Original Tagungtitel:
8th Rhine Workshop on Computer Algebra , RWCA’02
Sprache des Tagungstitel:
Englisch
Original Kurzfassung:
This contribution is devoted to 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. The theory of jet bundles is used to investigate an equivalence problem in the sense that every solution of the original set of equations is also a solution of the normal or well posed form of the system. An algorithm for the computation of the equations in normal form is presented. Two examples show the applicability of the approach in different fields of engineering sciences. The first one focuses on the extended Blondel Park transformation for electrical drives, the second example is devoted to the field of robotics.
Sprache der Kurzfassung:
Deutsch
Englischer Vortragstitel:
Computer Algebra Methods for Implicit Dynamic Systems and Applications in Robotics and Electrical Drives
Englischer Tagungstitel:
8th Rhine Workshop on Computer Algebra , RWCA’02
Englische Kurzfassung:
This contribution is devoted to 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. The theory of jet bundles is used to investigate an equivalence problem in the sense that every solution of the original set of equations is also a solution of the normal or well posed form of the system. An algorithm for the computation of the equations in normal form is presented. Two examples show the applicability of the approach in different fields of engineering sciences. The first one focuses on the extended Blondel Park transformation for electrical drives, the second example is devoted to the field of robotics.
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