Geodesic
On the solvability of problems of guaranteeing control for partially observable linear dynamical systems
Informatics and Automation, 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{TRSPY_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},
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     pages = {152--167},
     publisher = {mathdoc},
     volume = {277},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_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. Informatics and Automation, Mathematical control theory and differential equations, Tome 277 (2012), pp. 152-167. http://geodesic.mathdoc.fr/item/TRSPY_2012_277_a9/