Differential guidance game with incomplete information on the state coordinates and unknown initial state

We study the problem of guaranteed positional guidance of a linear partially observable control system to a convex target set at a given time. The problem is considered in the case of incomplete information. More precisely, it is assumed that the system is subjected to some unknown disturbance; in a...

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Bibliographic Details
Published in:Differential equations 2015-12, Vol.51 (12), p.1656-1665
Main Author: Maksimov, V. I.
Format: Article
Language:English
Subjects:
Algorithms
Applied mathematics
Construction
Control systems
Control Theory
Controllers
Difference and Functional Equations
Differential equations
Disturbances
Games
Information
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Studies
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Summary:We study the problem of guaranteed positional guidance of a linear partially observable control system to a convex target set at a given time. The problem is considered in the case of incomplete information. More precisely, it is assumed that the system is subjected to some unknown disturbance; in addition, the initial state is unknown as well. But the sets of admissible disturbances and the set of admissible initial states are known. The latter is assumed to be finite. We construct an algorithm for solving this problem.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266115120137