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Geometric Phases, Control Theory, and Robotics  (Make Corrections)  
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Abstract: Differential geometry and nonlinear control theory provide essential tools for studying motion generation in robot systems. Two areas where progress is being made are motion planning for mobile robots on the factory floor (or on the surface of Mars), and control of highly articulated robots---such as multifingered robot hands and robot "snakes"--- for medical inspection and manipulation inside the gastrointestinal tract. A common feature of these systems is the role of constraints on the... (Update)

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BibTeX entry:   (Update)

@misc{ murray-geometric,
  author = "Richard Murray",
  title = "Geometric Phases, Control Theory, and Robotics",
  url = "citeseer.ist.psu.edu/153065.html" }
Citations (may not include all citations):
625   Kluwer Academic Publishers (context) - Latombe, Planning - 1991
284   A Mathematical Introduction to Robotic Manipulation (context) - Murray, Li et al. - 1994
141   Nonholonomic motion planning: Steering using sinusoids - Murray, Sastry - 1993
111   Optimal paths for a car that goes both forwards and backward.. (context) - Reeds, Shepp - 1990
94   A motion planner for nonholonomic mobile robots (context) - Laumond, Jacobs et al. - 1994
50   Control theory and singular Riemannian geometry (context) - Brockett - 1981
43   Behavior control for robotic exploration of planetary surfac.. (context) - Gat, Desai et al. - 1994
32   Nonholonomic mechanics and locomotion: The snakeboard exampl.. - Lewis, Ostrowski et al. - 1994
32   Princeton University Press (context) - Nelson - 1967
23   Shortest paths for the reeds-shepp car: A worked out example.. (context) - Sussmann, Tang - 1991
13   Uber systeme von linearen partiellen differentialgleichungen.. (context) - Chow - 1940
5   Experiments in exponential stabilization of a mobile robot t.. (context) - M'Closkey, Murray - 1994
5   Repeatability of redundant manipulators: Mathematical soluti.. (context) - Shamir, Yomdin - 1988
2   Efficiencies of self-propulsion at low Reynolds number (context) - Shapere, Wilczek - 1989
1   Finding the path to a better Mars rover (context) - Pivirotto - 1993
1   Personal communication (context) - Burdick, Slatkin - 1994
1   IEEE Transactions on Robotics and Automation (context) - Chirikjian, Burdick et al. - 1994
1   Millirobotics for telesurgery - Cohn, Crawford et al. - 1994

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