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Discrete-time interval optimal control problem

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Abstract

This paper proposes a new approach for the discrete-time interval optimal control problem. The optimal interval solution of discrete-time interval optimal control problem is obtained using the single-level constrained interval arithmetic coupled with a dynamic programming technique. Moreover, the optimal interval solution contains the real-valued optimal solutions. To illustrate an optimal solution for the interval case, we use the minimax regret criterion in the interval inventory control problem we present.

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generalised uncertainty, interval dynamic programming, interval mathematical models, Interval optimal control problem, minimax regret criterion

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English

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International Journal of Control, v. 92, n. 8, p. 1778-1784, 2019.

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