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一类具有共轭条件的伪抛物型方程的最优控制

Optimal Control of a Pseudo-parabolic Equation with Conjugation Conditions
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摘要 研究了一类具有共轭条件的伪抛物型方程的最优控制问题。将目标函数转化成找到一个u∈U,使得J(ū)=infJ(u)_(u∈U),任一满足条件的u(·)∈U都称为最优控制,通过对控制函数的形式化微分,建立了最优控制的必要条件。 An optimal control problem for governed by a pseudo-parabolic equation with conjugation conditions is considered.Convert the objective function to find a u∈U to make J(ū)=infJ(u)u∈U,that satisfies any of the conditions u( ·) ∈U are called optimal control,necessary conditions for optimal controls are established by formally differentiating the cost functional with respect to the control.
作者 许友军 刘若男 王聪 XU Youjun;LIU Ruonan;WANG Cong(School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China)
机构地区 南华大学数理学院
出处 《南华大学学报（自然科学版）》 2019年第1期47-51,72,共6页 Journal of University of South China：Science and Technology
关键词 最优控制 目标函数 伪抛物方程 共轭条件 广义解 optimal control cost functional pseudo-parabolic equation conjugation conditions generalized solution
分类号 O29 [理学—应用数学]
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南华大学学报（自然科学版）
2019年 第1期

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