Geodesic
Solving the maximum problem for the terminal norm of a~linear control system
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 63-67

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We consider the maximization problem for the terminal norm of a linear control system. We seek for the extremal controls and improve them. Based on a sufficient optimality condition, we construct procedures that use the differentiability of the support function of the set of attainability.
Keywords: optimal control, maximum norm problem, improvement of extremal processes. 
@article{IVM_2009_10_a6,
     author = {N. S. Akhmedzhanova and S. N. Ushakova},
     title = {Solving the maximum problem for the terminal norm of a~linear control system},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {63--67},
     publisher = {mathdoc},
     number = {10},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_10_a6/}
}
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N. S. Akhmedzhanova; S. N. Ushakova. Solving the maximum problem for the terminal norm of a~linear control system. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2009), pp. 63-67. http://geodesic.mathdoc.fr/item/IVM_2009_10_a6/