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Controllability of multi-trajectories on Lie groups

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Part of the Lecture Notes in Mathematics book series (LNM,volume 898)

Keywords

  • Control Trajectory
  • Control Dynamical System
  • Chaotic Flow
  • Invariant Vector Field
  • Fixed Initial State

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References

  1. R. Brockett, System Theory on Group Manifolds and Coset Spaces, SIAM J. Control (1972) pp. 265–284.

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  2. R. Brockett & A. Willsky, Some structural properties of automata defined on Groups, Lecture Notes in Computer Science, Vol. 25, pp. 112–118, Category Theory Applied to Computation and Control, Springer-Verlag, N. Y., 1974.

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  3. H. Hermes, On Local and Global Controllability, SIAM J. Control (1974) pp. 252–261.

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  4. V. Jurdjevic & H. Sussmann, Controllability of Nonlinear Systems, J. Diff. Eqs. (1972) pp. 95–116.

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  5. V. Jurdjevic & H. Sussmann, Control Systems on Lie Groups, J. Diff. Eqs. (1972) pp. 313–329.

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  6. I. Kupka & V. Jurdjevic, “Etude de l'assessibilité pour les systèmes de contrôles bilinéares sur les groupes de Lie semi-simples.” Thèse d'état I. Kupka, Dijon 1978.

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  7. E. B. Lee & L. Markus, Foundations of Optimal Control Theory, Wiley, N. Y., 1967.

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© 1981 Springer-Verlag

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Markus, L. (1981). Controllability of multi-trajectories on Lie groups. In: Rand, D., Young, LS. (eds) Dynamical Systems and Turbulence, Warwick 1980. Lecture Notes in Mathematics, vol 898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091918

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  • DOI: https://doi.org/10.1007/BFb0091918

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11171-9

  • Online ISBN: 978-3-540-38945-3

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