Motion, Control, and Geometry: Proceedings of a Symposium

Some Of The Modem Developments Described In Motion, Control, And Geometry Include The Geometric Control Of Robot Motion And Craft Orientation, How High-power Precision Micromotors Are Engineered For Less Invasive Surgery And Self-focusing Lens Applications, What A Mobile Robot On A Surface Has In Common With One Moving In Three Dimensions, And How The Motion-control Problem Is Simplified By A Coupled Oscillator's Geometric Grouping Of Degrees Of Freedom And Motion Time Scales. The Four Papers In These Proceedings Provide A View Through The Scientific Portal Of Today's Motion-control Geometric Research Into Tomorrow's Technology. The Mathematics Needed To Carry Out This Research Is That Of Modem Differential Geometry, And The Questions Raised In The Field Of Motion-control Geometry Go Directly To The Research Frontier. Geometry Is A Mathematical Area Too Often Neglected Nowadays In A Student's Education. This Publication Will Help Adjust The Control Initially Imposed About 2,300 Years Ago On One Kind Of Motion- That Of Students Entering Plato's Academy, Where The Following Caveat Was Inscribed Above The Doorway: Let No One Ignorant Of Geometry Enter Here. Readers Of These Chapters Will Gain An Appreciation Of Modem Geometry And How It Continues To Play A Crucial Role In The Context Of Motion Control In Cutting-edge Science And Technology.