The attainable set of a linear control system can have both smooth and nonsmooth boundary. This smoothness property is known to be used to classify such systems. One approach, suggested by A. I. Ovseevich in the case of a smooth control set, is based on connecting smoothness of the attainable set with spherical observability of the dual system. This paper generalizes these results to the case of nonsmooth control sets. The corresponding property of the spherical observability notion can be treated as observability with several bearing-only observations.
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机译：线性控制系统的可达到集合可以同时具有平滑边界和非平滑边界。已知该平滑度属性用于对此类系统进行分类。 A. I. Ovseevich在光滑控制集的情况下提出的一种方法是基于将可达到集的光滑度与对偶系统的球面可观性联系起来。本文将这些结果推广到非光滑控制集的情况。球形可观察性概念的相应属性可以通过仅几个方位的观察结果视为可观察性。
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