軌綫末端受限制时的最优控制问題
ON THE PROBLEMS OF OPTIMUM CONTROL WITH CONSTRAINTED CONDITIONS AT THE ENDS OF TRAJECTORIES
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摘要: 当轨线末端受有条件限制时,将使最优控制系统有关的微分方程的边界条件变得复杂.本文考虑了各种受限情形,提出了确定边界条件的方法,得到泛函改变量公式,讨论了控制最优性的充分条件以及在某些情形下的必要条件.Abstract: In this paper some cases of optimum control are studied when the conditions at the ends of traiectories are constrainted.The boundary conditions of the system of the dif- ferential equations(19),(22),etc.are determined;the formulae of functional vartiation (20)are derived;and the sufficient conditions of optimality and necessary conditions in some cases are proved.
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