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\begin{document}

\title{Hurwicz model of uncertain optimal control with jump}



\author[1]{Liubao Deng}%
\author[2]{ Jinzhong Shen}%
\author[3]{Yuefen Chen}%
\affil[1]{Anhui University of Finance and Economics}%
\affil[2]{Anhui University of Science and Technology}%
\affil[3]{Xinyang Normal University}%


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  \date{May 04, 2024}


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\begin{abstract}
How to choose the optimization criterion of the objective function is an
important issue for uncertain optimal control. The Hurwicz criterion is
a flexible optimization criterion attempting to find the intermediate
area between the extremes posed by the optimistic and pessimistic
criteria. Based on uncertainty theory, in this paper, we establish a new
uncertain optimal control model with jump by making use of Hurwicz
criterion to optimize an uncertain objective function. By applying
Bellman's principle of optimality, the principle of optimality for the
proposed model is presented and then the equation of optimality is
derived. Finally, an example is given to show the the effectiveness of
the results obtained.%
\end{abstract}%



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