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This article is cited in 4 scientific papers (total in 4 papers)
Improvement of extreme controls and the steepest ascent method in the norm maximization problem on the reachable set
V. A. Srochko, S. N. Ushakova Irkutsk State University, ul. K. Marksa 1, Irkutsk, 664003 Russia
Abstract:
The maximization of the terminal state norm of a linear system is considered in the sense of searching for and improving extreme points of the reachable set. A sufficient optimality condition is formulated in terms of a special maximum function. A steepest ascent method for level surfaces of the objective function is constructed, and related procedures for improving extreme controls are described.
Key words:
reachable set of a linear control system, norm maximization problem, improvement of extreme controls.
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Computational Mathematics and Mathematical Physics, 2010, 50:5, 805–815
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UDC:
519.626.1 Received: 02.03.2009 Revised: 14.12.2009
Citation:
V. A. Srochko, S. N. Ushakova, “Improvement of extreme controls and the steepest ascent method in the norm maximization problem on the reachable set”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 848–859; Comput. Math. Math. Phys., 50:5 (2010), 805–815
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/zvmmf4875 http://mi.mathnet.ru/eng/zvmmf/v50/i5/p848
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This publication is cited in the following articles:
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Srochko V.A., Rozinova N.S., “Uslovie optimalnosti i metod poiska ekstremalnykh tochek v zadache na maksimum ellipsoidalnoi normy”, Izv. Irkutskogo gos. un-ta. Ser.: Matem., 2010, no. 3, 93–104
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V. A. Srochko, N. S. Rozinova, “Uslovie optimalnosti i metod poiska ekstremalnykh tochek v zadache na maksimum ellipsoidalnoi normy”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 3:3 (2010), 93–104
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V. A. Srochko, N. S. Rozinova, “Some issues of search of extremal processes in nonconvex problems of optimal control”, Autom. Remote Control, 72:6 (2011), 1271–1281
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A. S. Strekalovskii, “Sovremennye metody resheniya nevypuklykh zadach optimalnogo upravleniya”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 8 (2014), 141–163
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