Geodesic
Optimal observation of multistage systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1734-1751

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The problem of optimal observation of a nonlinear step system is considered. The task is to obtain guaranteed estimates of the initial state from given incomplete and inaccurate measurements of the current states. The cases of fixed and unfixed transition times in a step system are examined. Algorithms for solving a posteriori and positional observation problems are proposed. The results are illustrated by examples. 
@article{ZVMMF_2014_54_11_a4,
     author = {N. M. Dmitruk},
     title = {Optimal observation of multistage systems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1734--1751},
     publisher = {mathdoc},
     volume = {54},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a4/}
}
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N. M. Dmitruk. Optimal observation of multistage systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1734-1751. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a4/