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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
【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。
【Abstract】 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.
【关键词】 最优控制;
目标函数;
伪抛物方程;
共轭条件;
广义解;
【Key words】 optimal control; cost functional; pseudo-parabolic equation; conjugation conditions; generalized solution;
【Key words】 optimal control; cost functional; pseudo-parabolic equation; conjugation conditions; generalized solution;
- 【文献出处】 南华大学学报(自然科学版) ,Journal of University of South China(Science and Technology) , 编辑部邮箱 ,2019年01期
- 【分类号】O175.26;O232
- 【下载频次】41