Truncated Hausdorff Moment Problem and Analytic Solution of the Time-Optimal Problem for One Class of Nonlinear Control Systems

Grigory M. Sklyar, Svetlana Yu. Ignatovich

A complete analytic solution for the time-optimal control problem for nonlinear control systems of the form ${\dot{x}}_1=u$, ${\dot{x}}_j=x_1^{j-1}$, $j=2,\dots ,n$, is obtained for arbi…