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**Linear time-optimal control problem with incomplete information about state. Optimization of guaranteed result.**
*(English)*
Zbl 0668.90105

The problem is to minimize the time for the transfer of a linear system from an initial position (which may be an arbitrary point of a ball) into a given target set. This problem is formulated and discussed here as a game against Nature in which the sets of pure strategies are: the set of all admissible controls for the first player and the given ball of the initial states for Nature.

Reviewer: O.Carja

### MSC:

91A23 | Differential games (aspects of game theory) |

93C15 | Control/observation systems governed by ordinary differential equations |

91A99 | Game theory |

93C05 | Linear systems in control theory |

### References:

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[12] | Z. Wyderka: Some problems of optimal control for linear systems with measures as coefficients. Systems Sci. 5 (1979), 4, 425-431. · Zbl 0442.49002 |

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