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Volumn 46, Issue 4, 2007, Pages 1431-1460

On feedback classification of control-affine systems with one- and two-dimensional inputs

Author keywords

Control affine systems; Extremals; Poincar series; State feedback equivalence

Indexed keywords

CANNING; CLASSIFICATION (OF INFORMATION); FEEDBACK; STATE FEEDBACK; TWO DIMENSIONAL;

EID: 48249139464     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/050623711     Document Type: Article
Times cited : (11)

References (20)
  • 5
    • 48249105366 scopus 로고    scopus 로고
    • V. I. ARNOLD, Mathematical problems in classical physics, in Trends and Perspectives in Applied Mathematics, Appl. Math. Sci. 100, F. John, J. E. Marsden, and L. Sirovich, eds., Springer, New York, 1994, pp. 1-20; in Selected Works of V. I. Arnold, Phasis, Moscow, 1997, pp. 553-575 (in Russian).
    • V. I. ARNOLD, Mathematical problems in classical physics, in Trends and Perspectives in Applied Mathematics, Appl. Math. Sci. 100, F. John, J. E. Marsden, and L. Sirovich, eds., Springer, New York, 1994, pp. 1-20; in Selected Works of V. I. Arnold, Phasis, Moscow, 1997, pp. 553-575 (in Russian).
  • 6
    • 0026254021 scopus 로고
    • Feedback equivalence for nonlinear systems and the time optimal control problem
    • B. BONNARD, Feedback equivalence for nonlinear systems and the time optimal control problem, SIAM J. Control Optim., 29 (1991), pp. 1300-1321.
    • (1991) SIAM J. Control Optim , vol.29 , pp. 1300-1321
    • BONNARD, B.1
  • 8
    • 85053509421 scopus 로고
    • Equivalence and invariants of nonlinear control systems
    • Control, H. J. Sussmann, ed, Marcel Dekker, New York, Basel
    • B. JAKUBCZYK, Equivalence and invariants of nonlinear control systems, in Nonlinear Controllability and Optimal Control, H. J. Sussmann, ed., Marcel Dekker, New York, Basel, 1990, pp. 177-218.
    • (1990) Nonlinear Controllability and Optimal , pp. 177-218
    • JAKUBCZYK, B.1
  • 9
    • 0013189604 scopus 로고    scopus 로고
    • Critical Hamiltonians and feedback invariants
    • B. Jakubczyk and W. Respondek, eds, Marcel Dekker, New York, Basel
    • B. JAKUBCZYK, Critical Hamiltonians and feedback invariants, in Geometry of Feedback and Optimal Control, B. Jakubczyk and W. Respondek, eds., Marcel Dekker, New York, Basel, 1998, pp. 219-256.
    • (1998) Geometry of Feedback and Optimal Control , pp. 219-256
    • JAKUBCZYK, B.1
  • 10
    • 48249112455 scopus 로고    scopus 로고
    • B. JAKUBCZYK, Feedback invariants, critical trajectories, and Hamiltonian formalism, in Nonlinear Control in the Year 2000, 1, Lecture Notes in Control and Inform. Sci. 258, A. Isidori, F. Lamnabhi-Lagarrigue, and W. Respondek, eds., Springer, London, 2001, pp. 219-256.
    • B. JAKUBCZYK, Feedback invariants, critical trajectories, and Hamiltonian formalism, in Nonlinear Control in the Year 2000, Vol. 1, Lecture Notes in Control and Inform. Sci. 258, A. Isidori, F. Lamnabhi-Lagarrigue, and W. Respondek, eds., Springer, London, 2001, pp. 219-256.
  • 11
    • 0001637149 scopus 로고
    • Feedback classification of analytic control systems in the plane
    • Systems, B. Bonnard et al, eds, Birkhäuser Boston, Boston
    • B. JAKUBCZYK AND W. RESPONDEK, Feedback classification of analytic control systems in the plane, in Analysis of Controlled Dynamical Systems, B. Bonnard et al., eds., Birkhäuser Boston, Boston, 1991, pp. 262-273.
    • (1991) Analysis of Controlled Dynamical , pp. 262-273
    • JAKUBCZYK, B.1    RESPONDEK, W.2
  • 12
    • 0029770345 scopus 로고    scopus 로고
    • Extended controller form and invariants of nonlinear control systems with a single input
    • W. KANG, Extended controller form and invariants of nonlinear control systems with a single input, J. Math. Systems Estim. Control, 6 (1996), pp. 27-51.
    • (1996) J. Math. Systems Estim. Control , vol.6 , pp. 27-51
    • KANG, W.1
  • 13
    • 0026955152 scopus 로고
    • Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems
    • W. KANG AND A. J. KRENER, Extended quadratic controller normal form and dynamic state feedback linearization of nonlinear systems, SIAM J. Control Optim., 30 (1992), pp. 1319-1337.
    • (1992) SIAM J. Control Optim , vol.30 , pp. 1319-1337
    • KANG, W.1    KRENER, A.J.2
  • 15
    • 0001854563 scopus 로고    scopus 로고
    • 3
    • B. Jakubczyk and W. Respondek, eds, Marcel Dekker, New York
    • 3, in Geometry of Feedback and Optimal Control, B. Jakubczyk and W. Respondek, eds., Marcel Dekker, New York, 1998, pp. 347-382.
    • (1998) Geometry of Feedback and Optimal Control , pp. 347-382
    • RESPONDEK, W.1
  • 16
    • 33645902546 scopus 로고    scopus 로고
    • On the curvature of two-dimensional optimal control systems and Zermelo's navigation problem
    • U. SERRES, On the curvature of two-dimensional optimal control systems and Zermelo's navigation problem, J. Math. Sci., 135 (2006), pp. 3224-3243.
    • (2006) J. Math. Sci , vol.135 , pp. 3224-3243
    • SERRES, U.1
  • 17
    • 0141534415 scopus 로고    scopus 로고
    • I. A. TALL AND W. RESPONDEK, Feedback classification of nonlinear single-input control systems with controllable linearization: Normal forms, canonical forms, and invariants, SIAM J. Control Optim., 41 (2003), pp. 1498-1531.
    • I. A. TALL AND W. RESPONDEK, Feedback classification of nonlinear single-input control systems with controllable linearization: Normal forms, canonical forms, and invariants, SIAM J. Control Optim., 41 (2003), pp. 1498-1531.
  • 18
    • 48249096227 scopus 로고    scopus 로고
    • G. R. WILKENS, Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems, in Differential Geometry and Control (Boulder, CO, 1997), Proc. Sympos. Pure Math. 64, AMS, Providence, RI, 1999, pp. 319-333.
    • G. R. WILKENS, Centro-affine geometry in the plane and feedback invariants of two-state scalar control systems, in Differential Geometry and Control (Boulder, CO, 1997), Proc. Sympos. Pure Math. 64, AMS, Providence, RI, 1999, pp. 319-333.
  • 20
    • 0242711981 scopus 로고    scopus 로고
    • Simple germs of corank one affine distributions
    • B. Jakubczyk, W. Pawlucki, and J. Stasica, eds, Polish Acad. Sci, Warsaw
    • M. ZHITOMIRSKII AND W. RESPONDEK, Simple germs of corank one affine distributions, in Singularities Symposium-Lojasiewicz 70, Banach Center Publ. 44, B. Jakubczyk, W. Pawlucki, and J. Stasica, eds., Polish Acad. Sci., Warsaw, 1998, pp. 269-276.
    • (1998) Singularities Symposium-Lojasiewicz 70, Banach Center Publ , vol.44 , pp. 269-276
    • ZHITOMIRSKII, M.1    RESPONDEK, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.