Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind

Moiseev E.I.; Kholomeeva A.A.

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Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind

机译：具有第一类非局部奇数条件的弦振动的最优边界位移控制

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We consider the problem of optimal boundary control by the displacement at left endpoint of a string in the case of a nonlocal oddness boundary condition of the first kind. We obtain a necessary and sufficient condition for the problem controllability under arbitrary initial and terminal conditions and construct a closed analytical form of the control itself under these conditions. In addition, we consider the problem of optimal boundary control by the displacement at one endpoint of the string for a given displacement mode at the other endpoint.

机译：我们考虑在第一种非局部奇数边界条件的情况下，通过字符串左端点位移产生的最佳边界控制问题。我们获得了在任意初始和最终条件下问题可控性的必要和充分条件，并构造了在这些条件下控件本身的封闭分析形式。另外，我们考虑了在给定位移模式下，在另一个端点处通过在字符串的一个端点处的位移来实现最佳边界控制的问题。

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《Differential equations: A translation of differensial'nye uraveniya》 |2010年第11期|共7页
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Moiseev E.I.; Kholomeeva A.A.;
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1. Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind [J] . E. I. Moiseev, A. A. Kholomeeva Differential Equations . 2010,第11期

机译：具有第一类非局部奇数条件的弦振动的最优边界位移控制
2. Optimal boundary displacement control of string vibrations with a nonlocal evenness condition of the second kind [J] . E. I. Moiseev, A. A. Kholomeeva Differential Equations . 2011,第1期

机译：具有第二种非局部均匀性条件的弦振动的最优边界位移控制
3. Optimal boundary displacement control of string vibrations with a nonlocal evenness condition of the second kind [J] . Moiseev E.I., Kholomeeva A.A. Differential equations: A translation of differensial'nye uraveniya . 2011,第1期

机译：具有第二种非局部均匀性条件的弦振动的最佳边界位移控制
4. VIBRATION CONTROL OF A STRING USING ZERO-DISPLACEMENT CONSTRAINT AT A POINT NEAR ONE BOUNDARY: THEORY AND EXPERIMENT [C] . Assaad AlSahlani, Frank B. Mathis, Ranjan Mukherjee ASME international design engineering technical conferences;Computers and information in engineering conference;Conference on mechanical vibration and noise . 2012

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5. SEQUENTIAL GRADIENT-RESTORATION ALGORITHM FOR OPTIMAL CONTROL PROBLEMS WITH CONTROL INEQUALITY CONSTRAINTS AND GENERAL BOUNDARY CONDITIONS [D] . COKER, ESTELLE MATHILDA 1985

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Optimal boundary displacement control of string vibrations with a nonlocal oddness condition of the first kind

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