Geodesic
On the solvability of problems of guaranteeing control for partially observable linear dynamical systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical control theory and differential equations, Tome 277 (2012), pp. 152-167

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This paper is devoted to a specification of the method of open-loop control packages, a universal instrument for verification of the solvability of problems of closed-loop control for partially observable dynamical systems. Under the assumption that the control system and observed signal are linear and the set of the admissible initial states is finite, a structure of the corresponding open-loop control packages is specified and a finite-step backward construction is described, which provides a criterion for the solvability of a problem of guaranteed closed-loop guidance onto a target set at a prescribed time. 
@article{TM_2012_277_a9,
     author = {A. V. Kryazhimskiy and Yu. S. Osipov},
     title = {On the solvability of problems of guaranteeing control for partially observable linear dynamical systems},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {152--167},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2012_277_a9/}
}
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A. V. Kryazhimskiy; Yu. S. Osipov. On the solvability of problems of guaranteeing control for partially observable linear dynamical systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical control theory and differential equations, Tome 277 (2012), pp. 152-167. http://geodesic.mathdoc.fr/item/TM_2012_277_a9/