Geodesic
Optimization of the boundary control by a~displacement or by an elastic force on one end of a~string under a~model nonlocal boundary condition
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. I, Tome 268 (2010), pp. 124-136

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An explicit analytic expression is obtained for optimal boundary controls exercised on one end of a string by a displacement or by an elastic force under a model nonlocal boundary condition of one of four types. 
@article{TM_2010_268_a9,
     author = {V. A. Il'in},
     title = {Optimization of the boundary control by a~displacement or by an elastic force on one end of a~string under a~model nonlocal boundary condition},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {124--136},
     publisher = {mathdoc},
     volume = {268},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2010_268_a9/}
}
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V. A. Il'in. Optimization of the boundary control by a~displacement or by an elastic force on one end of a~string under a~model nonlocal boundary condition. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and topology. I, Tome 268 (2010), pp. 124-136. http://geodesic.mathdoc.fr/item/TM_2010_268_a9/