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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2007, Volume 256, Pages 70–88
(Mi tm456)
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This article is cited in 7 scientific papers (total in 7 papers)
Entropy Estimations for Motion Planning Problems in Robotics
J.-P. Gauthiera, V. M. Zakalyukinb a Université de Bourgogne
b M. V. Lomonosov Moscow State University
Abstract:
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.
Received in June 2006
Citation:
J.-P. Gauthier, V. M. Zakalyukin, “Entropy Estimations for Motion Planning Problems in Robotics”, Dynamical systems and optimization, Collected papers. Dedicated to the 70th birthday of academician Dmitrii Viktorovich Anosov, Trudy Mat. Inst. Steklova, 256, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 70–88; Proc. Steklov Inst. Math., 256 (2007), 62–79
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https://www.mathnet.ru/eng/tm456 https://www.mathnet.ru/eng/tm/v256/p70
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Abstract page: | 335 | Full-text PDF : | 98 | References: | 54 |
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