Abstract
On an example of transmission of a constant current, problems of optimal control in systems with distributed parameters of hyperbolic type are considered. A solution of corresponding problems is brought up to double extremal relations. Examples of application of the general theory to concrete control problems are given.
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References
I. A. Charnyi, Transient Motion of a Real Liquid in Tubes [in Russian], Nedra, Moscow (1975).
A. B. Kurzhanskii, Control and Observation in Indeterminate Conditions [in Russian], Nauka, Moscow (1977).
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Translated from Dinamicheskie Sistemy, No. 7, pp. 71–78, 1988.
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Sklyarov, Y.S. Optimal control in systems with distributed parameters of hyperbolic type. J Math Sci 65, 1544–1550 (1993). https://doi.org/10.1007/BF01097661
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DOI: https://doi.org/10.1007/BF01097661