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Avtomatika i Telemekhanika, 2012, Issue 7, Pages 3–14
(Mi at4034)
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This article is cited in 2 scientific papers (total in 2 papers)
Linear Systems
On maximal deviation of linear system
V. N. Zhermolenko Gubkin Russian State University of Oil and Gas, Moscow, Russia
Abstract:
An analytical solution of the B. V. Bulgakov problem of maximum of the norm of finite state of the stationary linear system with one control (perturbation) function taking values over an interval was proposed. The switching function of the worst relay perturbation was shown to depend on time and coordinates and be the product of the phase system vector, its transition matrix transposed to it, and the transposed column of the coefficients at perturbation.
Citation:
V. N. Zhermolenko, “On maximal deviation of linear system”, Avtomat. i Telemekh., 2012, no. 7, 3–14; Autom. Remote Control, 73:7 (2012), 1117–1125
Linking options:
https://www.mathnet.ru/eng/at4034 https://www.mathnet.ru/eng/at/y2012/i7/p3
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