Abstract
New problems of optimal control for a thermally stressed state of a two-component solid body are considered in the paper. The body contains a thin and a weakly thermally penetrating inclusion. The existence of unique optimal controls is proved for every described case with quadratic cost functionals.
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REFERENCES
A. D. Kovalenko, Thermoelasticity [in Russian], Vyshcha Shkola, Kiev (1975).
K. Washizu, Variational Methods in the Elasticity and Plasticity Theory [Russian translation], Mir, Moscow (1987).
V. S. Deineka and I. V. Sergienko, Models and Methods of Solving Problems in Inhomogeneous Media [in Russian], Naukova Dumka, Kiev (2001).
F. Sjarle, The Finite-Element Method for Elliptic Problems [Russian translation], Mir, Moscow (1980).
J.-L. Lions, Optimal Control of Systems Described by the Partial Derivatives Equations [Russian translation], Mir, Moscow (1972).
V. S. Deineka and I. V. Sergienko, Optimal Control of Inhomogeneous Distributed Systems [in Russian], Naukova Dumka, Kiev (2003).
O. A. Ladyzhenskaya and N. N. Ural'tseva, Linear and Quasilinear Elliptic-Type Equations [in Russian], Nauka, Moscow (1973).
O. Zenkewic, The Finite-Element Method in Engineering [Russian translation], Mir, Moscow (1975).
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Sergienko, I.V., Deineka, V.S. Complex Optimal Control of a Thermally Stressed State of a Two-Component Body. Cybernetics and Systems Analysis 40, 340–357 (2004). https://doi.org/10.1023/B:CASA.0000041991.01157.ba
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DOI: https://doi.org/10.1023/B:CASA.0000041991.01157.ba