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Geometric mechanics

Geometric mechanics is a branch of mathematics applying particular geometric methods to many areas of mechanics, from mechanics of particles and… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
A finite-time control scheme for autonomous body-fixed hovering of a rigid spacecraft over a tumbling asteroid is presented. The… Expand
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Highly Cited
2009
Highly Cited
2009
,by Darryl D. Holm, Tanya Schmah and Cristina Stoica, Oxford University Press,Oxford, 2009, xi + 515 pp., ISBN: 978-0-19-921290… Expand
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2009
2009
The oscillations of a class of submerged mass–spring systems are examined. An inviscid fluid model is employed to show that the… Expand
Highly Cited
2008
Highly Cited
2008
See also GEOMETRIC MECHANICS — Part I: Dynamics and Symmetry (2nd Edition) This textbook introduces modern geometric mechanics to… Expand
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Highly Cited
2005
Highly Cited
2005
Part I: Modeling of mechanical systems Introductory examples and problems Linear and multilinear algebra Differential geometry… Expand
Highly Cited
2004
Highly Cited
2004
  • K. Lynch
  • IEEE Transactions on Automatic Control
  • 2004
  • Corpus ID: 10718895
The focus of this book is mechanics, controllability, and feedback stabilization of mechanical control systems subject to… Expand
Review
2001
Review
2001
This paper outlines some features of general reduction theory as well as the geometry of nonholonomic mechanical systems. In… Expand
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Highly Cited
2000
Highly Cited
2000
This paper addresses the optimal control and selection of gaits in a class of nonholonomic locomotion systems that exhibit group… Expand
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Highly Cited
1998
Highly Cited
1998
This paper uses geometric methods to study basic problems in the mechanics and control of locomotion. We consider in detail the… Expand
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Review
1995
Review
1995
Many interesting control systems are mechanical control systems. In spite of this, there has not been much effort to develop… Expand
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