TIME OPTIMALITY AND THE POWER MOMENT PROBLEM

Abstract

A solution of the problem of exact determination of a time optimal control for the equation , 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.