| 许友军,刘若男,王聪.一类具有共轭条件的伪抛物型方程的最优控制[J].南华大学学报(自然科学版),2019,33(1):47~51, 72.[XU Youjun,LIU Ruonan,WANG Cong.Optimal Control of a Pseudo-parabolic Equation with Conjugation Conditions[J].Journal of University of South China(Science and Technology),2019,33(1):47~51, 72.] |
| 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 |
| 投稿时间：2018-08-08 |
| DOI： |
| 中文关键词: 最优控制 目标函数 伪抛物方程 共轭条件 广义解 |
| 英文关键词:optimal control cost functional pseudo-parabolic equation conjugation conditions generalized solution |
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| 摘要点击次数: 493 |
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| 中文摘要: |
| 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()=infu∈UJ(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。 |
| 英文摘要: |
| 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()=infu∈UJ(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. |
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