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Volumn 34, Issue 4, 1996, Pages 1291-1299

Large-time local controllability via homogeneous approximations

Author keywords

Homogeneous approximations; Lie algebras; Local controllability

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; ASYMPTOTIC STABILITY; FEEDBACK CONTROL; GEOMETRY; NONLINEAR CONTROL SYSTEMS; VECTORS;

EID: 0030189564     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012994268059     Document Type: Article
Times cited : (9)

References (11)
  • 1
    • 0001215663 scopus 로고
    • Asymptotic stability and feedback stabilization
    • R. W. Brockett, R. S. Millman, and H. J. Sussmann, eds., Birkhäuser, Boston
    • R. W. BROCKETT, Asymptotic stability and feedback stabilization, in Differential Geometric Control Theory, Progr. Math. 27, R. W. Brockett, R. S. Millman, and H. J. Sussmann, eds., Birkhäuser, Boston, 1983, pp. 181-191.
    • (1983) Differential Geometric Control Theory, Progr. Math. , vol.27 , pp. 181-191
    • Brockett, R.W.1
  • 2
    • 0025465072 scopus 로고
    • Graded approximations and controllability along a trajectory
    • R. BIANCHINI AND G. STEPHANI, Graded approximations and controllability along a trajectory, SIAM J. Control Optim., 28 (1990), pp. 903-924.
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 903-924
    • Bianchini, R.1    Stephani, G.2
  • 3
    • 0042528871 scopus 로고
    • Asymptotic stabilization of low dimensional systems
    • C. I. Byrnes and A. Kurzhansky, eds., Birkhäuser, Boston
    • W. DAYAWANSA AND C. MARTIN, Asymptotic stabilization of low dimensional systems, in Progress in Systems and Control Theory, C. I. Byrnes and A. Kurzhansky, eds., Birkhäuser, Boston, 1991, pp. 53-67.
    • (1991) Progress in Systems and Control Theory , pp. 53-67
    • Dayawansa, W.1    Martin, C.2
  • 4
    • 0026173040 scopus 로고
    • Nilpotent and high-order approximations of vector field systems
    • H. HERMES, Nilpotent and high-order approximations of vector field systems, SIAM Rev., 33 (1991), pp. 238-264.
    • (1991) SIAM Rev. , vol.33 , pp. 238-264
    • Hermes, H.1
  • 5
    • 0012224857 scopus 로고
    • Control systems which generate decomposable Lie algebras
    • _, Control systems which generate decomposable Lie algebras, J. Differential Equations, 44 (1982), pp. 166-187.
    • (1982) J. Differential Equations , vol.44 , pp. 166-187
  • 6
    • 4243202450 scopus 로고
    • Local controllability of a single-input affine system
    • Lecture Notes in Pure and Appl. Math. 109, V. Lakshmikantham, ed., Marcel Dekker, New York
    • H. HERMES AND M. KAWSKI, Local controllability of a single-input affine system, in Nonlinear Analysis and Applications, Lecture Notes in Pure and Appl. Math. 109, V. Lakshmikantham, ed., Marcel Dekker, New York, 1987, pp. 235-248.
    • (1987) Nonlinear Analysis and Applications , pp. 235-248
    • Hermes, H.1    Kawski, M.2
  • 7
    • 85053550012 scopus 로고
    • High-order small-time local controllability
    • Lecture Notes in Pure and Appl. Math. 133, H. J. Sussmann, ed., Marcel Dekker, New York
    • M. KAWSKI, High-order small-time local controllability, in Nonlinear Controllability and Optimal Control, Lecture Notes in Pure and Appl. Math. 133, H. J. Sussmann, ed., Marcel Dekker, New York, 1990, pp. 431-467.
    • (1990) Nonlinear Controllability and Optimal Control , pp. 431-467
    • Kawski, M.1
  • 8
    • 34250382135 scopus 로고
    • Hypoelliptic differential operators and nilpotent groups
    • L. P. ROTHSCHILD AND E. STEIN, Hypoelliptic differential operators and nilpotent groups, Acta Math., 137 (1976), pp. 247-320.
    • (1976) Acta Math. , vol.137 , pp. 247-320
    • Rothschild, L.P.1    Stein, E.2
  • 9
    • 0022320971 scopus 로고
    • Polynomial approximations to control systems and local controllability
    • G. STEFANI, Polynomial approximations to control systems and local controllability, Proc. 24th IEEE Conf. on Decision and Control, I (1985), pp. 33-38.
    • (1985) Proc. 24th IEEE Conf. on Decision and Control , vol.1 , pp. 33-38
    • Stefani, G.1
  • 10
    • 0042028005 scopus 로고
    • Local properties of nonlinear control systems
    • B. Jakubczyk, W. Respondek, and K. Tchon, eds., Tech. Univ. Wroclaw
    • _, Local properties of nonlinear control systems, in Geometric Theory of Nonlinear Control Systems, B. Jakubczyk, W. Respondek, and K. Tchon, eds., Tech. Univ. Wroclaw, 1984, pp. 219-226.
    • (1984) Geometric Theory of Nonlinear Control Systems , pp. 219-226
  • 11
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.