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Avtomatika i Telemekhanika, 2009, Issue 11, Pages 34–54
(Mi at552)
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This article is cited in 5 scientific papers (total in 5 papers)
Deterministic Systems
Impulsive control with impulsive actions of two types
B. M. Millerab, E. Ya. Rubinovichc a Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b Monash University, Melbourne, Australia
c Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Abstract:
Consideration was given to a nonlinear problem of optimal impulsive control with impulsive actions of two types. Impulses were constrained in power and amplitude, and the first-type impulses were additionally constrained in their total number and repetition rate. This problem was shown to be reducible to an equivalent problem with ordinary (nonimpulsive) controls to which applicable are the classical results on existence of the optimal controls and the optimality conditions in the form of the principle of maximum.
Citation:
B. M. Miller, E. Ya. Rubinovich, “Impulsive control with impulsive actions of two types”, Avtomat. i Telemekh., 2009, no. 11, 34–54; Autom. Remote Control, 70:11 (2009), 1795–1813
Linking options:
https://www.mathnet.ru/eng/at552 https://www.mathnet.ru/eng/at/y2009/i11/p34
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