Geodesic
Time optimality and the power moment problem
Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 185-206

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A solution of the problem of exact determination of a time optimal control for the equation $x^{(n)}=u$, $|u|\le1$, in the open loop form as well as in the closed loop form is presented in this paper. A system of special polynomials, called canonical variables, is introduced. The solution is obtained in terms of Hankel determinants and a sequence of Markov determinants in the canonical variables. A connection between the solution obtained and the power moment problem is investigated. Bibliography: 6 titles. 
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     author = {V. I. Korobov and G. M. Sklyar},
     title = {Time optimality and the power moment problem},
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V. I. Korobov; G. M. Sklyar. Time optimality and the power moment problem. Sbornik. Mathematics, Tome 62 (1989) no. 1, pp. 185-206. http://geodesic.mathdoc.fr/item/SM_1989_62_1_a12/