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Null controllability on Lie groups

  • Ayala, Víctor [1] ; Kizil, Eyüp [2]
    1. [1] Universidad Católica del Norte

      Universidad Católica del Norte

      Antofagasta, Chile

    2. [2] Universidade de São Paulo

      Universidade de São Paulo

      Brasil

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 1, 2013, págs. 61-72
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172013000100005
  • Enlaces
  • Resumen
    • We prove an extension of a classical result for null controllability of linear control systems on Euclidean spaces, to linear control systems on a connected Lie group G, assumed to be simply connected and nilpotent.

  • Referencias bibliográficas
    • Citas [1] V. Ayala, J. Tirao, Linear control systems on Lie groups and controllability. Proceedings of the American Mathematical Society,...
    • [2] V. Ayala, Controllability of nilpotent systems. Geometry in Nonlinear Control and Differential Inclusions, Banach Center Publications,...
    • [3] V. Ayala, W. Kliemann and F. Vera, Isochronous sets of invariant control systems. Systems and Control Letters 60, pp. 937-942, (2011)
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    • [5] V. Ayala and L. San Martin, Controllability Properties of a Class of Control Systems on Lie Groups. Lectures Notes in Control and Information...
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    • [9] P. Jouan, Controllability of Linear Control Systems on Lie Groups, Journal of Dynamical and Control Systems 17, pp. 591-616, (2011).
    • [10] A.O. Nielsen, Unitary representations and coadjoint orbits of low dimensional nilpotent Lie groups, Queen’s Papers in Pure and Applied...
    • [11] Y. Sachkov, Controllability of Invariant Systems on Lie Groups and Homogeneous Spaces. Progress in Science and Technology, Series on...
    • [12] Y. Sachkov, Controllability of affine right-invariant systems on solvable Lie groups. Discrete Mathematics and Theoretical Computer Science...
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    • [14] V.S. Varadaradjan, Lie groups, Lie algebras and their representations. Prentice-Hall (1974).

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