Hausdorff moment problem and nonlinear time optimality
نویسندگان
چکیده
A complete analytic solution for the time-optimal control problem nonlinear systems of form $\dot x_1=u$, x_j=x_1^{j-1}$, $j=2,\ldots,n$, is obtained arbitrary~$n$. In paper we present following surprising observation: this optimality leads to a truncated Hausdorff moment problem, which gives tools finding optimal time and controls. Being homogeneous, mentioned system approximates certain class affine in sense optimality. Therefore, results can be used solving from class.
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2022
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2022007