Dynamics and control of mechanical systems : the falling cat and related problems
著者
書誌事項
Dynamics and control of mechanical systems : the falling cat and related problems
（Fields Institute communications, 1）
American Mathematical Society, c1993
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注記
Contains papers presented at a Fields Institute workshop, held in March 1992 in Waterloo, Ontario
Includes bibliographical references
内容説明・目次
内容説明
This book contains a collection of papers presented at the Fields Institute workshop, 'The Falling Cat and Related Problems', held in March 1992. The theme of the workshop was the application of methods from geometric mechanics and mathematical control theory to problems in the dynamics and control of freely rotating systems of coupled rigid bodies and related nonholonomic mechanical systems. This book will prove useful in providing insight into this new and exciting area of research.
目次
Stable average motions of mechanical systems subject ot periodic forcing by J. Baillieul Nonholonomic and Vakanomic control systems on Riemannian manifolds by A. M. Bloch and P. E. Crouch General integrable problems of classical mechanics by O. I. Bogoyavlenskij On an optimal control problem on $SO(3)\times SO(3)$ and the falling cat by M. J. Enos On the cut points and conjugate points in a constrained variational problem by Z. Ge A theorem of Poinsot, path ordered integrals, and parallel transport by M. Levi The reduced Euler-Lagrange equations by J. E. Marsden and J. Scheurle On the dynamics and control of the evolving space station "Freedom" by V. J. Modi Gauge theory of the falling cat by R. Montgomery Control of nonholonomic systems using chained form by R. M. Murray A vectorizing momentum preserving symplectic integration algorithm by G. W. Patrick Stabilization of the uniform rotation of a rigid body by the energy-momentum method by T. A. Posbergh and R. Zhao.
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