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作为应用控制论思想研究流体力学反问题的一个起步,提出将控制论中“积分方程描述的分布参数系统的最大值原理”推广应用于反问题的求解中,从而得到一种求解反问题的新方法.以一个地下水污染控制问题为例,用所提方法进行了求解.研究结果表明,与其它反问题求解方法相比,该方法具有简单易行的优点,且适合于一大类可由积分方程描述的分布参数系统反问题的求解,是从控制论角度研究反问题的一个好的开端.
As a starting point for the study of inverse problem of fluid mechanics with applied cybernetics, this paper proposes to popularize and apply the “maximum principle of distributed parameter system described by integral equation in cybernetics” to the solution of inverse problem so as to obtain a new solution to inverse problem method. Taking a groundwater pollution control problem as an example, this method is used to solve the problem. The results show that compared with other inverse problem solving methods, the proposed method is simple and easy to implement and suitable for solving a large number of inverse problem of distributed parameter system described by integral equation. A good start.