메뉴 건너뛰기




Volumn 41, Issue 3, 2003, Pages 851-874

Simple mechanical control systems with constraints and symmetry

Author keywords

Configuration controllability; Nonlinear control; Reduction; Symmetric product

Indexed keywords

CONSTRAINT THEORY; CONTROLLABILITY; LAGRANGE MULTIPLIERS; MATRIX ALGEBRA; MECHANICAL VARIABLES CONTROL; MOBILE ROBOTS; MOTION PLANNING; ORDINARY DIFFERENTIAL EQUATIONS; VECTORS;

EID: 0038805146     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012900381741     Document Type: Article
Times cited : (31)

References (36)
  • 3
    • 0032206308 scopus 로고    scopus 로고
    • Newton's law and integrability of nonholonomic systems
    • A. M. Bloch and P. E. Crouch, Newton's law and integrability of nonholonomic systems, SIAM J. Control Optim., 36 (1998), pp. 2020-2039.
    • (1998) SIAM J. Control Optim. , vol.36 , pp. 2020-2039
    • Bloch, A.M.1    Crouch, P.E.2
  • 5
    • 0036208264 scopus 로고    scopus 로고
    • Series expansions for the evolution of mechanical control systems
    • F. Bullo, Series expansions for the evolution of mechanical control systems, SIAM J. Control Optim., 40 (2001), pp. 166-190.
    • (2001) SIAM J. Control Optim. , vol.40 , pp. 166-190
    • Bullo, F.1
  • 6
    • 0034245374 scopus 로고    scopus 로고
    • Controllability and motion algorithms for underactuated Lagrangian systems on Lie groups
    • F. Bullo, N. E. Leonard, and A. D. Lewis, Controllability and motion algorithms for underactuated Lagrangian systems on Lie groups, IEEE Trans. Automat. Control, 45 (2000), pp. 1437-1454.
    • (2000) IEEE Trans. Automat. Control , vol.45 , pp. 1437-1454
    • Bullo, F.1    Leonard, N.E.2    Lewis, A.D.3
  • 8
    • 0035428379 scopus 로고    scopus 로고
    • Kinematic controllability for decoupled trajectory planning in underactuated mechanical systems
    • F. Bullo and K. M. Lynch, Kinematic controllability for decoupled trajectory planning in underactuated mechanical systems, IEEE Trans. Robot. Automat., 17 (2001), pp. 402-412.
    • (2001) IEEE Trans. Robot. Automat. , vol.17 , pp. 402-412
    • Bullo, F.1    Lynch, K.M.2
  • 10
    • 17544389544 scopus 로고    scopus 로고
    • Reduction and reconstruction of the dynamics of nonholonomic systems
    • J. Cortés and M. de León, Reduction and reconstruction of the dynamics of nonholonomic systems, J. Phys. A, 32 (1999), pp. 8615-8645.
    • (1999) J. Phys. A , vol.32 , pp. 8615-8645
    • Cortés, J.1    De León, M.2
  • 11
    • 4244169435 scopus 로고    scopus 로고
    • Configuration controllability of mechanical systems underactuated by one control
    • submitted
    • J. Cortés and S. Martínez, Configuration controllability of mechanical systems underactuated by one control, SIAM J. Control Optim., submitted.
    • SIAM J. Control Optim.
    • Cortés, J.1    Martínez, S.2
  • 12
    • 0036687034 scopus 로고    scopus 로고
    • On nonlinear controllability and series expansions for Lagrangian systems with damping
    • to appear
    • J. Cortéz, S. Martínez, and F. Bullo, On nonlinear controllability and series expansions for Lagrangian systems with damping, IEEE Trans. Automat. Control, to appear: also available online from http://motion.csl.uiuc.edu/-bullo/papers.
    • IEEE Trans. Automat. Control
    • Cortéz, J.1    Martínez, S.2    Bullo, F.3
  • 13
    • 0019612867 scopus 로고
    • Geometric structures in systems theory
    • P. E. Crouch, Geometric structures in systems theory, Proc. IEE-D, 128 (1981), pp. 242-252.
    • (1981) Proc. IEE-D , vol.128 , pp. 242-252
    • Crouch, P.E.1
  • 15
    • 84995037667 scopus 로고
    • Geometric phases and robotic locomotion
    • S. D. Kelly and R. M. Murray, Geometric phases and robotic locomotion, J. Robotic Systems, 12 (1995), pp. 417-431.
    • (1995) J. Robotic Systems , vol.12 , pp. 417-431
    • Kelly, S.D.1    Murray, R.M.2
  • 16
    • 0000768876 scopus 로고
    • Reduction of some classical non-holonomic systems with symmetry
    • J. Koiller, Reduction of some classical non-holonomic systems with symmetry, Arch. Ration. Mech. Anal., 118 (1992), pp. 113-148.
    • (1992) Arch. Ration. Mech. Anal. , vol.118 , pp. 113-148
    • Koiller, J.1
  • 19
    • 0032134149 scopus 로고    scopus 로고
    • Affine connections and distributions with applications to nonholonomic mechanics
    • A. D. Lewis, Affine connections and distributions with applications to nonholonomic mechanics, Rep. Math. Phys., 42 (1998), pp. 135-164.
    • (1998) Rep. Math. Phys. , vol.42 , pp. 135-164
    • Lewis, A.D.1
  • 20
    • 0034249359 scopus 로고    scopus 로고
    • Simple mechanical control systems with constraints
    • A. D. Lewis, Simple mechanical control systems with constraints, IEEE Trans. Automat. Control, 45 (2000), pp. 1420-1436.
    • (2000) IEEE Trans. Automat. Control , vol.45 , pp. 1420-1436
    • Lewis, A.D.1
  • 21
    • 0031143040 scopus 로고    scopus 로고
    • Configuration controllability of simple mechanical control systems
    • A. D. Lewis and R. M. Murray, Configuration controllability of simple mechanical control systems, SIAM J. Control Optim., 35 (1997), pp. 766-790.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 766-790
    • Lewis, A.D.1    Murray, R.M.2
  • 23
    • 0000194890 scopus 로고
    • Reduction of constrained mechanical systems and stability of relative equilibria
    • C.-M. Marle, Reduction of constrained mechanical systems and stability of relative equilibria, Comm. Math. Phys., 174 (1995), pp. 295-318.
    • (1995) Comm. Math. Phys. , vol.174 , pp. 295-318
    • Marle, C.-M.1
  • 26
    • 0038369884 scopus 로고    scopus 로고
    • Motion control algorithms for mechanical systems with symmetries
    • submitted
    • S. Martínez and J. Cortés, Motion control algorithms for mechanical systems with symmetries, Acta Appl. Math., submitted.
    • Acta Appl. Math.
    • Martínez, S.1    Cortés, J.2
  • 28
    • 0003771275 scopus 로고
    • Geometric perspectives on the mechanics and control of undulatory locomotion
    • Ph.D. Thesis, California Institute of Technology, Pasadena, CA
    • J. P. Ostrowski, Geometric Perspectives on the Mechanics and Control of Undulatory Locomotion, Ph.D. Thesis, California Institute of Technology, Pasadena, CA, 1995.
    • (1995)
    • Ostrowski, J.P.1
  • 29
    • 0034249315 scopus 로고    scopus 로고
    • Steering for a class of dynamic nonholonomic systems
    • J. P. Ostrowski, Steering for a class of dynamic nonholonomic systems, IEEE Trans. Automat. Control, 45 (2000), pp. 1492-1498.
    • (2000) IEEE Trans. Automat. Control , vol.45 , pp. 1492-1498
    • Ostrowski, J.P.1
  • 30
    • 0001342963 scopus 로고    scopus 로고
    • Controllability for mechanical systems with symmetries and constraints
    • J. P. Ostrowski and J. W. Burdick, Controllability for mechanical systems with symmetries and constraints, Appl. Math. Comput. Sci., 7 (1997), pp. 305-331.
    • (1997) Appl. Math. Comput. Sci. , vol.7 , pp. 305-331
    • Ostrowski, J.P.1    Burdick, J.W.2
  • 31
    • 0032120192 scopus 로고    scopus 로고
    • The geometric mechanics of undulatory robotic locomotion
    • J. P. Ostrowski and J. W. Burdick, The geometric mechanics of undulatory robotic locomotion, Int. J. Robotic Research, 17 (1998), pp. 683-702.
    • (1998) Int. J. Robotic Research , vol.17 , pp. 683-702
    • Ostrowski, J.P.1    Burdick, J.W.2
  • 32
    • 0023138986 scopus 로고
    • A general theorem on local controllability
    • H. J. Sussmann, A general theorem on local controllability, SIAM J. Control Optim., 25 (1987), pp. 158-194.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 158-194
    • Sussmann, H.J.1
  • 33
    • 0001055975 scopus 로고
    • Geodesics in nonholonomic geometry
    • J. Z. Synge, Geodesics in nonholonomic geometry, Math. Ann., 99 (1928), pp. 738-751.
    • (1928) Math. Ann. , vol.99 , pp. 738-751
    • Synge, J.Z.1
  • 34
    • 0038122009 scopus 로고
    • Linearization of Hamiltonian and gradient systems
    • A. J. van der Schaft, Linearization of Hamiltonian and gradient systems, IMA J. Math. Control Inform., 1 (1984), pp. 185-198.
    • (1984) IMA J. Math. Control Inform. , vol.1 , pp. 185-198
    • Van Der Schaft, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.