Global Improvement Method for Hamiltonian Systems with Controllable Coefficients
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 95-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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The new modification of global improvement control method for one class of Hamiltonian systems that is based on the Krotov method is presented. The calculations for a quantum dynamical system representing the well studied example of the rotation of a planar molecule are given.
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E. A. Trushkova. Global Improvement Method for Hamiltonian Systems with Controllable Coefficients. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 13 (2013) no. 1, pp. 95-99. http://geodesic.mathdoc.fr/item/ISU_2013_13_1_a23/

[1] Boussaid N., Caponigro M., Chambrion T., Periodic control laws for bilinear quantum system with discrete spectrum, 2011, arXiv: 1111.4550v1

[2] Krotov V. F., Feldman I. N., “Iterative method for solving optimal control problems”, Izv. AS USSR. Techn. Cybern., 1983, no. 2, 160–168 | MR

[3] Krotov V. F., Bulatov A. V., Baturina O. V., “Optimization of linear systems with controllable coefficients”, Automation and Remote Control, 72:6 (2011), 1199–1212 | DOI | MR | Zbl

[4] Trushkova E. A., “Global control improvement algorithms”, Automation and Remote Control, 72:6 (2011), 1282–1290 | DOI | MR | Zbl