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Global connectivity and optimization on an infinite step distribution

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Publication:384945
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DOI10.1016/j.aam.2012.11.002zbMath1275.93017OpenAlexW2039996731MaRDI QIDQ384945

Bader Alshamary, Ovidiu Calin, Der-Chen E. Chang

Publication date: 29 November 2013

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2012.11.002


zbMATH Keywords

geodesicsconnectivitynon-holonomic constraints


Mathematics Subject Classification ID

Controllability (93B05) Miscellaneous topics in calculus of variations and optimal control (49N99)


Related Items (1)

Integrability conditions for Heisenberg and Grushin-type distributions



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Nonholonomic systems and sub-Riemannian geometry
  • Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov.
  • Hypoelliptic second order differential equations
  • Orbits of Families of Vector Fields and Integrability of Distributions
  • Orbits of families of vector fields and integrability of systems with singularities


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