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Avtomatika i Telemekhanika, 2016, Issue 9, Pages 42–57
(Mi at14548)
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This article is cited in 6 scientific papers (total in 6 papers)
Nonlinear Systems
On certain approaches to optimization of control processes. II
V. I. Gurmana, I. V. Rasinaa, O. V. Feskoa, I. S. Gusevab a Ailamazyan Program Systems Institute, Russian Academy of Sciences, Pereslavl-Zalesskii, Russia
b Buryat State University, Ulan-Ude, Russia
Abstract:
We consider a general approach to constructing efficient iterative procedures with extension and localization principles, sufficient optimality conditions, and global estimates. We pay special attention to new constructive methods based on the minimax control improvement principle of V. F. Krotov. As an in-depth example, we solve the optimization problem for a therapeutic process. This is the second of two papers devoted to approximate control optimization; it continues the first one [1], which proposed a general scheme for solving the said problem and considered in detail the stage of finding the initial approximation.
Citation:
V. I. Gurman, I. V. Rasina, O. V. Fesko, I. S. Guseva, “On certain approaches to optimization of control processes. II”, Avtomat. i Telemekh., 2016, no. 9, 42–57; Autom. Remote Control, 77:9 (2016), 1544–1556
Linking options:
https://www.mathnet.ru/eng/at14548 https://www.mathnet.ru/eng/at/y2016/i9/p42
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