Entropy estimations for motion planning problems in robotics

This is the concluding work of our series devoted to the evaluation of the complexity and entropy of a motion planning problem for a sub-Riemannian distribution. We consider some new cases of the dimension and codimension of the distribution, in particular, (2, 3), (3, 4), and some other that are one-step-bracket-generating. We summarize all known estimations for low-dimensional generic systems. They include all generic systems of corank less than 4 and other cases up to corank 10. Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Vol. 256, pp. 70–88.