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Volumn 68, Issue STAR, 2010, Pages 37-52

Using lie group symmetries for fast corrective motion planning

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMIC FRAMEWORK; CONTROL STRATEGIES; LIE GROUP SYMMETRIES; MECHANICAL SYSTEMS; NEEDLE STEERING; NONHOLONOMICS; SYMMETRY OPERATIONS; TRAJECTORY CORRECTION; UNDER-ACTUATED SYSTEMS;

EID: 78650128313     PISSN: 16107438     EISSN: 1610742X     Source Type: Book Series    
DOI: 10.1007/978-3-642-17452-0_3     Document Type: Conference Paper
Times cited : (6)

References (17)
  • 1
    • 85098008327 scopus 로고    scopus 로고
    • Nonholonomic mechanics and control
    • Springer New York
    • Bloch, A.M.: Nonholonomic Mechanics and Control. In: Interdisciplinary Applied Mathematics, vol. 24. Springer, New York (2003)
    • (2003) Interdisciplinary Applied Mathematics , vol.24
    • Bloch, A.M.1
  • 2
    • 40949106826 scopus 로고    scopus 로고
    • Knitro: An integrated package for nonlinear optimization
    • Springer Heidelberg
    • Byrd, R.H., Nocedal, J., Waltz, R.A.: Knitro: An integrated package for nonlinear optimization. In: Large Scale Nonlinear Optimization, pp. 35-59. Springer, Heidelberg (2006)
    • (2006) Large Scale Nonlinear Optimization , pp. 35-59
    • Byrd, R.H.1    Nocedal, J.2    Waltz, R.A.3
  • 4
    • 42549113521 scopus 로고    scopus 로고
    • Improving the performance of samplingbased motion planning with symmetry-based gap reduction
    • Cheng, P., Frazzoli, E., LaValle, S.M.: Improving the performance of samplingbased motion planning with symmetry-based gap reduction. IEEE Transactions on Robotics 24(2), 488-494 (2008)
    • (2008) IEEE Transactions on Robotics , vol.24 , Issue.2 , pp. 488-494
    • Cheng, P.1    Frazzoli, E.2    LaValle, S.M.3
  • 6
    • 0041929152 scopus 로고    scopus 로고
    • Reactive nonholonomic trajectory generation via parametric optimal control
    • Kelly, A., Nagy, B.: Reactive nonholonomic trajectory generation via parametric optimal control. The International Journal of Robotics Research 22(7-8), 583-601 (2003)
    • (2003) International Journal of Robotics Research , vol.22 , Issue.7-8 , pp. 583-601
    • Kelly, A.1    Nagy, B.2
  • 8
    • 0031145153 scopus 로고
    • Optimal control for holonomic and nonholonomic mechanical systems with symmetry and lagrangian reduction
    • Koon, W.S., Marsden, J.E.: Optimal control for holonomic and nonholonomic mechanical systems with symmetry and Lagrangian reduction. SIAM Journal on Control and Optimization 35(3), 901-929 (1995)
    • (1995) SIAM Journal on Control and Optimization , vol.35 , Issue.3 , pp. 901-929
    • Koon, W.S.1    Marsden, J.E.2
  • 11
    • 77952010176 scopus 로고    scopus 로고
    • Cambridge University Press Cambridge
    • LaValle, S.M.: Planning Algorithms. Cambridge University Press, Cambridge (2006)
    • (2006) Planning Algorithms
    • LaValle, S.M.1
  • 14
    • 0033078057 scopus 로고    scopus 로고
    • Computing reduced equations for robotic systems with constraintsand symmetries
    • Ostrowski, J.P.: Computing reduced equations for robotic systems with constraintsand symmetries. IEEE Transactions on Robotics and Automation 15(1), 111-123 (1999)
    • (1999) IEEE Transactions on Robotics and Automation , vol.15 , Issue.1 , pp. 111-123
    • Ostrowski, J.P.1
  • 16
    • 0003621102 scopus 로고
    • An introduction to the conjugate gradient method without the agonizing pain
    • Carnegie Mellon University Pittsburgh
    • Shewchuk, J.R.: An introduction to the conjugate gradient method without the agonizing pain. Tech. rep., Carnegie Mellon University Pittsburgh (1994)
    • (1994) Tech. Rep.
    • Shewchuk, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.