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Observability with bearing-only observations and smoothness of the attainable set

Abstract

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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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 8, pp. 119–130, 2005.

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Bolotin, Y.V., Morgunova, S.N. Observability with bearing-only observations and smoothness of the attainable set. J Math Sci 147, 6631–6638 (2007). https://doi.org/10.1007/s10958-007-0499-1

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Keywords

  • Projective Measurement
  • Dual System
  • Linear Control System
  • Outer Normal
  • Spherical Measurement