Newton Diagrams and Tangent Cones to Attainable Sets

  • A. A. Agrachev
Part of the Progress in Systems and Control Theory book series (PSCT, volume 8)


We consider a smooth control system of the form
$$ \frac{d}{{dt}}q = {f_t}(q) + u{g_t}(q),\,\,\,\,\,\,\,\,q \in M,|u| \leq \delta $$
with fixed initial point q(0) = q 0. Here M is a C -manifold and f t (q), g t (q) are C -smooth complete nonstationary vector fields. Admissible controls are scalar measurable functions of t taking their values in [−δ, δ].


Tangent Vector Variational Formula Admissible Control Tangent Cone Newton Polygon 
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Copyright information

© Birkhäuser Boston 1991

Authors and Affiliations

  • A. A. Agrachev
    • 1
  1. 1.Department of MathematicsVINITIMoscowUSSR

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