We consider the problem of tracking the solution of a parabolic equation with an unknown right-hand side by the solution of a similar parabolic equation. To solve this problem, we propose two noise-resistant algorithms based on the extremal shift method known in guaranteed control theory. The first algorithmpertains to the case of continuousmeasurement of solutions to the equations, and the second, to the case of discrete measurement.

中文翻译：

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使用反馈定律跟踪线性抛物方程的解

我们考虑通过类似的抛物线方程的解来跟踪右侧未知的抛物线方程的解的问题。为了解决这个问题，我们提出了两种基于保证控制理论中已知的极值偏移方法的抗噪声算法。第一种算法适用于连续测量方程解的情况，第二种适用于离散测量的情况。