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Volumn 48, Issue 1, 2003, Pages 139-143

On nonlinear controllability of homogeneous systems linear in control

Author keywords

Controllability; Lie algebras; Nonlinear systems

Indexed keywords

APPROXIMATION THEORY; CONTROLLABILITY; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; POLYNOMIALS; TENSORS;

EID: 0037249680     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2002.806667     Document Type: Article
Times cited : (7)

References (11)
  • 1
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    • On the structure of attainable sets for generalized differential equations and control systems
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    • H. G. Hermes, "On the structure of attainable sets for generalized differential equations and control systems," J. Diff. Equations, vol. 9, pp. 141-154, Jan. 1971.
    • (1971) J. Diff. Equations , vol.9 , pp. 141-154
    • Hermes, H.G.1
  • 2
    • 33144472531 scopus 로고
    • Controllability of nonlinear systems
    • July
    • H.J. Sussmann and V. Jurdjevic, "Controllability of nonlinear systems," J. Diff. Equations, vol. 12, pp. 95-116, July 1972.
    • (1972) J. Diff. Equations , vol.12 , pp. 95-116
    • Sussmann, H.J.1    Jurdjevic, V.2
  • 3
    • 0017542851 scopus 로고
    • Nonlinear controllability and observability
    • Oct.
    • R. Hermann and A. J. Krener, "Nonlinear controllability and observability," IEEE Trans. Automat. Contr., vol. AC-22, pp. 728-740, Oct. 1977.
    • (1977) IEEE Trans. Automat. Contr. , vol.AC-22 , pp. 728-740
    • Hermann, R.1    Krener, A.J.2
  • 4
    • 0020824363 scopus 로고
    • Lie brackets and local controllability: A sufficient condition for scalar-input systems
    • Sept.
    • H.J. Sussmann, "Lie brackets and local controllability: A sufficient condition for scalar-input systems," SIAM J. Control Optim., vol. 21, pp. 686-713, Sept. 1983.
    • (1983) SIAM J. Control Optim. , vol.21 , pp. 686-713
    • Sussmann, H.J.1
  • 5
    • 0023033736 scopus 로고
    • On the local controllability of a scalar input control system
    • C. I. Byrnes and A. Lindquist, Eds. New York: Elsevier
    • G. Stefani, "On the local controllability of a scalar input control system," in Theory and Applications of Nonlinear Control Systems, C. I. Byrnes and A. Lindquist, Eds. New York: Elsevier, 1986.
    • (1986) Theory and Applications of Nonlinear Control Systems
    • Stefani, G.1
  • 6
    • 0001403044 scopus 로고
    • Higher-order small-time local controllability
    • H. J. Sussmann, Ed. New York: Marcel Dekker, Pure and Applied Mathematics, ch. 14
    • M. Kawski, "Higher-order small-time local controllability," in Nonlinear Controllability and Optimal Control, H. J. Sussmann, Ed. New York: Marcel Dekker, 1990, vol. 133, Pure and Applied Mathematics, ch. 14, pp. 441-477.
    • (1990) Nonlinear Controllability and Optimal Control , vol.133 , pp. 441-477
    • Kawski, M.1
  • 7
    • 0023138986 scopus 로고
    • General theorem on local controllability
    • Jan.
    • H. J. Sussmann, "General theorem on local controllability," SIAM J. Control Optim., vol. 25, pp. 158-194, Jan. 1987.
    • (1987) SIAM J. Control Optim. , vol.25 , pp. 158-194
    • Sussmann, H.J.1
  • 9
    • 0026173040 scopus 로고
    • Nilpotent and high-order approximations of vector field systems
    • June
    • H. G. Hermes, "Nilpotent and high-order approximations of vector field systems," SIAM Rev., vol. 33, pp. 238-264, June 1991.
    • (1991) SIAM Rev. , vol.33 , pp. 238-264
    • Hermes, H.G.1
  • 10
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    • Is it possible to recognize controllability in a finite number of differentiations?
    • V. D. Blondel, Ed. New York: Springer-Verlag, Communications and Control Engineering, ch. 4
    • A. A. Agračhev, "Is it possible to recognize controllability in a finite number of differentiations?," in Open Problems in Mathematical Systems and Control Theory, V. D. Blondel, Ed. New York: Springer-Verlag, 1999, Communications and Control Engineering, ch. 4, pp. 15-18.
    • (1999) Open Problems in Mathematical Systems and Control Theory , pp. 15-18
    • Agračhev, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.