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

Autor:	Yu. V. Bolotin, S. N. Morgunova
Rok vydání:	2007
Předmět:	Statistics and Probability Bearing (mechanical) Smoothness (probability theory) Property (programming) Applied Mathematics General Mathematics Mathematical analysis Boundary (topology) law.invention Dual (category theory) Set (abstract data type) law Control set Observability Mathematics
Zdroj:	Journal of Mathematical Sciences. 147:6631-6638
ISSN:	1573-8795 1072-3374
DOI:	10.1007/s10958-007-0499-1
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3bf88c361f3c8fd9349986cd1cf60792 https://doi.org/10.1007/s10958-007-0499-1 Zobrazit plný text záznamu Plný text ve formátu PDF