Kurt Schlacher, Kurt Zehetleitner,
"Basic Differential Geometry for Mechanics and Control"
, in Hans Irschik, Kurt Schlacher: Advanced Dyamics and Control of Structures and Machines, Serie CISM Courses and Lectures, Nummer 444, Springer Verlag, Sachsenplatz 4-6, 1201 Wien, Seite(n) 97-125, 9-2004, ISBN: 3-211-22867-5
Original Titel:
Basic Differential Geometry for Mechanics and Control
Sprache des Titels:
Englisch
Original Buchtitel:
Advanced Dyamics and Control of Structures and Machines
Original Kurzfassung:
Differential geometry is an old mathematical discipline which contributed and contributes a lot to mathematical physics. Also its use in mechanics, electrodynamics or thermodynamics has a long history. Nevertheless, the introduction of the geometric methods to nonlinear, model based control occurred only about 25 years ago. The driving force for this development was the same as for physics, that is, geometric methods allow us to deal with dynamic systems in a coordinate free manner. Therefore, this contribution presents an overview on this discipline which starts with smooth manifolds, bundles, vector fields and finishes with jet bundles and jet coordinates.
Sprache der Kurzfassung:
Englisch
Veröffentlicher:
Springer Verlag
Verlagsanschrift:
Sachsenplatz 4-6, 1201 Wien
Serie:
CISM Courses and Lectures
Number:
444
Seitenreferenz:
97-125
Erscheinungsmonat:
9
Erscheinungsjahr:
2004
ISBN:
3-211-22867-5
Anzahl der Seiten:
19
Notiz zur Publikation:
Schlacher K., Zehetleitner K.: Basic Geometry for Mechanics and Control. In: Advanced Dynamics and Control of Structures and Machines, CISM Courses and Lectures No. 444, (Eds. Irschik H., Schlacher K.), Springer Wien New York, ISBN: 3-211-22867-5, pp. 97-125, 2004.
Forschungs-