Probabilistic cellular automata are extended stochastic systems, widely used for modelling phenomena in many disciplines. The possibility of controlling their behaviour is therefore an important topic. We shall present here an approach to the problem of controlling such systems by acting only on the boundary of a target region. In particular we are interested in optimal control, which is rather demanding in computational terms, so we present also a less demanding suboptimal method. Finally, we present an example of optimal control with avoidance.

中文翻译：

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概率细胞自动机的最优和次优区域控制

概率细胞自动机是扩展的随机系统，在许多学科中广泛用于建模现象。因此，控制其行为的可能性是重要的话题。我们将在这里提出一种仅通过作用于目标区域边界来控制此类系统的方法。特别地，我们对最优控制感兴趣，这在计算方面相当苛刻，因此我们也提出了一种要求不高的次优方法。最后，我们给出了一个避免最优控制的例子。