Well-posedness of an optimal control problem for a~linear control system with integral quadratic performance index
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics. Differential equations, mathematical analysis and their applications, Tome 166 (1984), pp. 177-185.

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@article{TM_1984_166_a12,
     author = {M. S. Nikol'skii},
     title = {Well-posedness of an optimal control problem for a~linear control system with integral quadratic performance index},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {177--185},
     publisher = {mathdoc},
     volume = {166},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1984_166_a12/}
}
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M. S. Nikol'skii. Well-posedness of an optimal control problem for a~linear control system with integral quadratic performance index. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics. Differential equations, mathematical analysis and their applications, Tome 166 (1984), pp. 177-185. http://geodesic.mathdoc.fr/item/TM_1984_166_a12/