On the Motion Planning Problem, Complexity, Entropy, and Nonholonomic Interpolation

Author:

Gauthier Jean-Paul,Zakalyukin Vladimir

Publisher

Springer Science and Business Media LLC

Subject

Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering

Reference16 articles.

1. 1. A. A. Agrachev, H. E. A. Chakir, and J. P. Gauthier, Sub-Riemannian metrics on ℝ3. In: Geometric Control and Nonholonomic Mechanics, Mexico City (1996), pp. 29–76. Proc. Can. Math. Soc. 25 (1998).

2. 2. A. A. Agrachev and J. P. Gauthier, Sub-Riemannian metrics and isoperimetric problems in the contact case. J. Math. Sci. 103 (2001), No. 6, 639–663.

3. 3. G. Charlot, Quasicontact SR metrics: normal form in ℝ2n, wave front and caustic in ℝ4. Acta Appl. Math. 74 (2002), No. 3, 217–263.

4. 4. H. E. A. Chakir, J. P. Gauthier, and I. A. K. Kupka, Small sub-Riemannian balls on ℝ3. J. Dynam. Control Systems 2 (1996), No. 3, 359–421.

5. 5. F. H. Clarke, Optimization and nonsmooth analysis. John Wiley & Sons (1983).

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