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Necessary and sufficient conditions of optimality in the problems of control with fuzzy parameters

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Ukrainian Mathematical Journal Aims and scope

We study the problem of high-speed operation for linear control systems with fuzzy right-hand sides. For this problem, we introduce the notion of optimal solution and establish necessary and sufficient conditions of optimality in the form of the maximum principle.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 3, pp. 384–390, March, 2009.

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Molchanyuk, I.V., Plotnikov, A.V. Necessary and sufficient conditions of optimality in the problems of control with fuzzy parameters. Ukr Math J 61, 457–466 (2009). https://doi.org/10.1007/s11253-009-0214-0

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  • DOI: https://doi.org/10.1007/s11253-009-0214-0

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