On the solvability of problems of guaranteeing control for partially observable linear dynamical systems
Authors: Kryazhimskiy AV, Osipov YS
Publication Year: 2012
Reference: Proceedings of the Steklov Institute of Mathematics, 277(1):144-159 (July 2012)
. Original Russian text published in [[Trudy Matematicheskogo Instituta imeni V.A. Steklova]], 277:152-167 (2012)
Abstract
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.