The Problem of Optimal Control of String Vibrations

被引：0
作者：
V. R. Barsegyan
机构：
[1] Institute of Mechanics of the National Academy of Sciences of Armenia,
[2] Yerevan State University,undefined
来源：
International Applied Mechanics | 2020年 / 56卷
关键词：
string vibration; optimal control of vibrations; intermediate moments; nonseparated multipoint conditions; optimal control;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The problem of optimal control of string vibrations with given initial and final conditions, and nonseparated values of derivatives of deflection functions at intermediate moments of time with a performance criterion defined over the whole period is considered. The problem is solved using the methods of separation of variables and the theory of optimal control of finite-dimensional systems with nonseparated multipoint intermediate conditions. As an example of the proposed approach, the effect of optimal string vibration with given nonlocal values of string velocities at two intermediate points of time is constructed.
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页码：471 / 480
页数：9
相关论文
共 10 条
  • [1] Ashchepkov LT(1981)Optimal control of a system with intermediate conditions PMM 45 215-222
  • [2] Barsegyan VR(2008)Optimal control of vibrations of a string with given states at intermediate times Izv. NAS RA, Mekh. 61 52-60
  • [3] Sahakyan MA(2010)Two-point boundary-value problem for the equation of vibration of a string with a given velocity at a certain moment of time. I Trudy Inst. Mat. NAN Belarusi 18 22-35
  • [4] Korzyuk VI(2011)Two-point boundary value problem for the equation of vibration of a string with a given velocity at a certain moment of time. II Trudy Inst. Mat. NAN Belarusi 19 62-70
  • [5] Kozlovskaya IS(2010)Optimal special regime and regime with increasing switching in the problem of controlling oscillations of a string with fixed ends Prikl. Mat. Mekh. 74 856-863
  • [6] Korzyuk VI(2012)Optimal control of the vibration of elastic systems described by the wave equation Int. Appl. Mech. 48 234-240
  • [7] Kozlovskaya IS(undefined)undefined undefined undefined undefined-undefined
  • [8] Manita LA(undefined)undefined undefined undefined undefined-undefined
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