Geometric Mechanics, Stability and Control
This paper gives an overview of selected topics in mechanics and their relation to questions of stability, control and stabilization. The mechanical connection, whose holonomy gives phases and that plays an important role in block diagonalization, provides a unifying theme.
© 1994, Springer-Verlag. April 22, 1992. Research partially supported by a Fairchild fellowship at Caltech and by DOE. We thank W. Sluis for providing a draft of the lectures given at the Fields Institute, March 1992.
Submitted - Ma1994a.pdf