摘要
本文研究了气-固反应中的一个边界最优控制问题。反应的质量守恒方程为非线性抛物方程组,目标函数为一定时间内输入的气体量。通过控制外界气体浓度,使反应在某固定时刻完成,并且输入气体量最小。我们讨论了方程的可解性,得到了最优控制的存在性,并建立了最优控制的一个逼近结果。
This paper is concerned with an optimal boundary control problem of gas-solid re-action . The equations of mass conservations of the reactions arc described by a nonlinear parabolic system of equations. The objective function is the input quantity of gas in a fixed period of time. Through the control of the concentration of input gas, the reaction finish in a definete time, and thus the -input quantity of the gas is minimum. We have discussed solvability of the equations and proved the existence of optimal control and also obtained an approximat result of the optimal control.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1990年第2期256-266,共11页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
