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Avtomatika i Telemekhanika, 2008, Issue 3, Pages 7–16
(Mi at617)
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This article is cited in 7 scientific papers (total in 7 papers)
Systems with Distributed Parameters
Optimization of the boundary control by shift or elastic force at one end of string in a sufficiently long arbitrary time
V. A. Il'in, E. I. Moiseev M. V. Lomonosov Moscow State University
Abstract:
The problem of the boundary control optimization by shift or elastic force at one end of the string over
a sufficiently long arbitrary time interval was solved by minimizing the $L_p$-norm of the derivative of control by shift or the $L_p$-norm of control by elastic force. Solution was established in an explicit analytical form which is valid for all $p\ge1$.
Citation:
V. A. Il'in, E. I. Moiseev, “Optimization of the boundary control by shift or elastic force at one end of string in a sufficiently long arbitrary time”, Avtomat. i Telemekh., 2008, no. 3, 7–16; Autom. Remote Control, 69:3 (2008), 354–362
Linking options:
https://www.mathnet.ru/eng/at617 https://www.mathnet.ru/eng/at/y2008/i3/p7
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