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Volumn 55, Issue 9, 2010, Pages 2186-2191

A simple intrinsic reduced-observer for geodesic flow

Author keywords

Contraction; Geodesic flow; Incompressible fluid; Infinite dimensional Lie group; Intrinsic equations; Lagrangian mechanical systems; Nonlinear asymptotic observer; Riemannian curvature

Indexed keywords

ASYMPTOTIC OBSERVER; CONTRACTION; GEODESIC FLOW; INCOMPRESSIBLE FLUID; INFINITE DIMENSIONAL; INTRINSIC EQUATION; LAGRANGIAN; RIEMANNIAN CURVATURE;

EID: 77956510375     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2052481     Document Type: Article
Times cited : (15)

References (20)
  • 3
    • 0037871940 scopus 로고    scopus 로고
    • An intrinsic observer for a class of lagrangian systems
    • Jun
    • N. Aghannan and P. Rouchon, "An intrinsic observer for a class of Lagrangian systems," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 936-945, Jun. 2003.
    • (2003) IEEE Trans. Autom. Control , vol.48 , Issue.6 , pp. 936-945
    • Aghannan, N.1    Rouchon, P.2
  • 6
    • 0001356905 scopus 로고
    • Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applicationsa l'hydrodynamique des fluides parfaits
    • V. I. Arnol'd, "Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applicationsa l'hydrodynamique des fluides parfaits," Annu. Inst. Fourier, vol. 16, pp. 319-361, 1966.
    • (1966) Annu. Inst. Fourier , vol.16 , pp. 319-361
    • Arnol'D, V.I.1
  • 8
    • 67949088083 scopus 로고    scopus 로고
    • Nonlinear symmetry-preserving observers on lie groups
    • Jul
    • S. Bonnabel, P. Martin, and P. Rouchon, "Nonlinear symmetry-preserving observers on Lie groups," IEEE Trans. Autom. Control, vol. 54, no. 7, pp. 1709-1713, Jul. 2009.
    • (2009) IEEE Trans. Autom. Control , vol.54 , Issue.7 , pp. 1709-1713
    • Bonnabel, S.1    Martin, P.2    Rouchon, P.3
  • 9
    • 65049089931 scopus 로고    scopus 로고
    • Observer-based hamiltonian identification for quantum systems
    • S. Bonnabel, M. Mirrahimi, and P. Rouchon, "Observer-based hamiltonian identification for quantum systems," Automatica, vol. 45, no. 11, pp. 1144-1155, 2009.
    • (2009) Automatica , vol.45 , Issue.11 , pp. 1144-1155
    • Bonnabel, S.1    Mirrahimi, M.2    Rouchon, P.3
  • 10
    • 0034245374 scopus 로고    scopus 로고
    • Controllability and motion algorithms for underactuated lagrangian systems on lie groups
    • Aug
    • F. Bullo, N. E. Leonard, and A. D. Lewis, "Controllability and motion algorithms for underactuated lagrangian systems on Lie groups," IEEE Trans. Autom. Control, vol. 35, no. 8, pp. 1437-1454, Aug. 2000.
    • (2000) IEEE Trans. Autom. Control , vol.35 , Issue.8 , pp. 1437-1454
    • Bullo, F.1    Leonard, N.E.2    Lewis, A.D.3
  • 11
    • 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., vol. 35, pp. 766-790, 1997.
    • (1997) SIAM J. Control Optim. , vol.35 , pp. 766-790
    • Lewis, A.D.1    Murray, R.M.2
  • 12
    • 0032094219 scopus 로고    scopus 로고
    • On metric analysis and observers for nonlinear systems
    • W. Lohmiler and J. J. E. Slotine, "On metric analysis and observers for nonlinear systems," Automatica, vol. 34, no. 6, pp. 683-696, 1998.
    • (1998) Automatica , vol.34 , Issue.6 , pp. 683-696
    • Lohmiler, W.1    Slotine, J.J.E.2
  • 13
    • 0015200604 scopus 로고
    • An introduction to observers
    • D. Luenberger, "An introduction to observers," IEEE Trans. Autom. Control, vol. AC-16, no. 6, pp. 596-602, 1971.
    • (1971) IEEE Trans. Autom. Control , vol.AC-16 , Issue.6 , pp. 596-602
    • Luenberger, D.1
  • 14
    • 51749112903 scopus 로고    scopus 로고
    • Nonlinear complementary filters on the special orthogonal group
    • Jun
    • R. Mahony, T. Hamel, and J.-M. Pflimlin, "Nonlinear complementary filters on the special orthogonal group," IEEE Trans. Autom. Control, vol. 53, no. 5, pp. 1203-1218, Jun. 2008.
    • (2008) IEEE Trans. Autom. Control , vol.53 , Issue.5 , pp. 1203-1218
    • Mahony, R.1    Hamel, T.2    Pflimlin, J.-M.3
  • 15
    • 33244455817 scopus 로고    scopus 로고
    • Intrinsic observer-based stabilization for simple mechanical systems on lie groups
    • D. H. S. Maithripala, W. P. Dayawansa, and J. M. Berg, "Intrinsic observer-based stabilization for simple mechanical systems on Lie groups," SIAM J. Control Optim., vol. 44, pp. 1691-1711, 2005.
    • (2005) SIAM J. Control Optim. , vol.44 , pp. 1691-1711
    • Maithripala, D.H.S.1    Dayawansa, W.P.2    Berg, J.M.3
  • 16
    • 19844377481 scopus 로고    scopus 로고
    • Hyperbolic pants fit a three-body problem
    • R. Montgomery, "Hyperbolic pants fit a three-body problem," Ergod. Thy. Dyn. Sys., vol. 25, pp. 921-947, 2005.
    • (2005) Ergod. Thy. Dyn. Sys. , vol.25 , pp. 921-947
    • Montgomery, R.1
  • 18
    • 0026390160 scopus 로고
    • On the arnol'd stability criterion for steady-state flows of an ideal fluid
    • P. Rouchon, "On the Arnol'd stability criterion for steady-state flows of an ideal fluid," Eur. J. Mech./B Fluids, vol. 10, pp. 651-661, 1991.
    • (1991) Eur. J. Mech./B Fluids , vol.10 , pp. 651-661
    • Rouchon, P.1
  • 20
    • 73049112100 scopus 로고    scopus 로고
    • A globally exponentially convergent immersion and invariance speed observer for mechanical systems with non-holonomic constraints
    • Jan
    • A. Astolfi, R. Ortega, and A. Venkatraman, "A globally exponentially convergent immersion and invariance speed observer for mechanical systems with non-holonomic constraints," Automatica, vol. 46, no. 1, pp. 182-189, Jan. 2010.
    • (2010) Automatica , vol.46 , Issue.1 , pp. 182-189
    • Astolfi, A.1    Ortega, R.2    Venkatraman, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.