Geodesic
Method of decomposition in the optimal control problem for semilinear Sobolev type models
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 8 (2015) no. 2, pp. 133-137

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Due to the large number of applications the question of numerical solution of optimal control problems becomes very important. In the case of nonlinear state equations the search for optimal control is significantly difficult. One approach to the solution of this problem is the decomposition method. This method allows to linearize the original equation and to transfer the whole phenomenon of nonlinearity to the functional that greatly simplifies the numerical scheme for finding of approximate solution an optimal control problem.
Keywords: Sobolev type equations; optimal control; decomposition method. 
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     author = {N. A. Manakova},
     title = {Method of decomposition in the optimal control problem for semilinear {Sobolev} type models},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {133--137},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2015_8_2_a11/}
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N. A. Manakova. Method of decomposition in the optimal control problem for semilinear Sobolev type models. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 8 (2015) no. 2, pp. 133-137. http://geodesic.mathdoc.fr/item/VYURU_2015_8_2_a11/