Abstract
In this paper, we study an interval-valued multi-dimensional control optimisation model over dynamic systems for vector case. We discuss the necessary efficiency conditions and establish sufficient efficiency conditions for the considered optimisation model. Further, we construct an equivalent unconstrained optimisation model with the help of the exact l 1 penalty function method and derive equivalence between the considered control optimisation model and its associated unconstrained control optimisation model. At last, we provide an application to highlight the established results in this paper.
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