AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Dynamics and Control of Mechanical Systems: The Falling Cat and Related Problems
About this Title
Michael J. Enos, University of Waterloo, Waterloo, ON, Canada, Editor
Publication: Fields Institute Communications
Publication Year:
1993; Volume 1
ISBNs: 978-0-8218-9200-8 (print); 978-1-4704-2965-2 (online)
DOI: https://doi.org/10.1090/fic/001
MathSciNet review: MR1232907
MSC: Primary 58-06; Secondary 49-06, 70Q05, 93-06
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- J. Baillieul – Stable average motions of mechanical systems subject to periodic forcing
- A. Bloch and P. Crouch – Nonholonomic and Vakanomic control systems on Riemannian manifolds
- O. Bogoyavlenskij – General integrable problems of classical mechanics
- M. Enos – On an optimal control problem on $SO(3)\times SO(3)$ and the falling cat
- Z. Ge – On the cut points and conjugate points in a constrained variational problem
- M. Levi – A theorem of Poinsot, path ordered integrals, and parallel transport
- J. Marsden and J. Scheurle – The reduced Euler-Lagrange equations
- V. Modi – On the dynamics and control of the evolving space station “Freedom”
- R. Montgomery – Gauge theory of the falling cat
- R. Murray – Control of nonholonomic systems using chained form
- G. Patrick – A vectorizing momentum preserving symplectic integration algorithm
- T. Posbergh and R. Zhao – Stabilization of the uniform rotation of a rigid body by the energy-momentum method