Kryazhimskiy, A.V. & Strelkovskii, N. ORCID: https://orcid.org/0000-0001-6862-1768
(2015).
*An open-loop criterion for the solvability of a closed-loop guidance problem with incomplete information. Linear control systems.*
Proceedings of the Steklov Institute of Mathematics 91 (S1) 113-127. 10.1134/S0081543815090084.

## Abstract

The method of open-loop control packages is a tool for stating the solvability of guaranteed closed-loop control problems under incomplete information on the observed states. In this paper, the method is specified for the problem of guaranteed closed-loop guidance of a linear control system to a convex target set at a prescribed point in time. It is assumed that the observed signal on the system's states is linear and the set of its admissible initial states is finite. It is proved that the problem under consideration is equivalent to the problem of open-loop guidance of an extended linear control system to an extended convex target set. Using a sepration theorem for convex sets, a solvability criterion is derived, which reduces to a solution of a finite-dimensional optimization problem. An illustrative example is considered.

Item Type: | Article |
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Uncontrolled Keywords: | control; incomplete information; linear systems |

Research Programs: | Advanced Systems Analysis (ASA) |

Bibliographic Reference: | Proceedings of the Steklov Institute of Mathematics; 291(S1):113-127 [December 2015] |

Depositing User: | IIASA Import |

Date Deposited: | 15 Jan 2016 08:52 |

Last Modified: | 27 Aug 2021 17:24 |

URI: | https://pure.iiasa.ac.at/11295 |

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