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Methods of Control Theory in Nonholonomic Geometry

In: Proceedings of the International Congress of Mathematicians

Author

Listed:
  • Andrei A. Agrachev

    (Steklov Mathematical Institute)

Abstract

LetM be a C∞-manifold andTM the total space of the tangent bundle. A control system is a subset V ⊂ TM. Fix an initial point q0 ∈ M and a segment [0,t] ⊂ ℝ. Admissible trajectories are Lipschitzian curves q(τ), 0 ≤ τ ≤ t, q(0) = q0 satisfying a differential equation of the form where is smooth in bounded and measurable in T. The mapping which maps admissible trajectories in their end points, is called an end-point mapping.

Suggested Citation

  • Andrei A. Agrachev, 1995. "Methods of Control Theory in Nonholonomic Geometry," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 1473-1483, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_144
    DOI: 10.1007/978-3-0348-9078-6_144
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