Methods of Control Theory in Nonholonomic Geometry

Andrei A. Agrachev
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Andrei A. Agrachev: Steklov Mathematical Institute

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1473-1483 from Springer

Abstract: 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.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_144

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