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抛物型点控制系统的逼近
APPROXIMATION OF PARABOLIC POINTWISE CONTROL SYSTEMS
【摘要】 <正> 设■是 R~■中的有界开区域,具有充分光滑的边界Γ.设b∈■,T>0.记■=■x(0,T),Σ=Γ×(0,T)假定 L 是■中带变系数的二阶椭圆型偏微分算子,
【Abstract】 An approximation technique of parabolic pointwise control systems is proposed.Let k_n(x) be a δ-sequence,and the δ-function,δ(x),in the system be replaced byk_n(x).It is shown that the solution of the approximate system converges to that ofthe pointwise input system in L~2-norm,and that the corresponding optimal controlsequence with quadratic index is convergent in L~2-norm too.
【基金】 国家自然科学基金
- 【文献出处】 系统科学与数学 , 编辑部邮箱 ,1989年04期
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