### Abstract

Original language | English |
---|---|

Pages (from-to) | 38-47 |

Number of pages | 10 |

Journal | URAL MATHEMATICAL JOURNAL |

Volume | 2 |

Issue number | 1(2) |

DOIs | |

Publication status | Published - 2016 |

### Fingerprint

### GRNTI

- 27.00.00 MATHEMATICS

### Level of Research Output

- VAK List

### Cite this

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**ON CALCULATING THE VALUE OF A DIFFERENTIAL GAME IN THE CLASS OF COUNTER STRATEGIES.** / Gomoyunov, Mikhail I.; Kornev, Dmitry V.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - ON CALCULATING THE VALUE OF A DIFFERENTIAL GAME IN THE CLASS OF COUNTER STRATEGIES

AU - Gomoyunov, Mikhail I.

AU - Kornev, Dmitry V.

PY - 2016

Y1 - 2016

N2 - For a linear dynamical system with control and disturbance, a feedback control problem is considered, in which the Euclidean norm of a set of deviations of the system’s motion from given targets at given instants of time is optimized. The problem is formalized into a differential game in “strategy-counter strategy” classes. A game value computing procedure which reduces the problem to a recursive construction of upper convex hulls of auxiliary functions is justified. Results of numerical simulations are presented.

AB - For a linear dynamical system with control and disturbance, a feedback control problem is considered, in which the Euclidean norm of a set of deviations of the system’s motion from given targets at given instants of time is optimized. The problem is formalized into a differential game in “strategy-counter strategy” classes. A game value computing procedure which reduces the problem to a recursive construction of upper convex hulls of auxiliary functions is justified. Results of numerical simulations are presented.

UR - https://elibrary.ru/item.asp?id=26501481

U2 - 10.15826/umj.2016.1.004

DO - 10.15826/umj.2016.1.004

M3 - Article

VL - 2

SP - 38

EP - 47

JO - URAL MATHEMATICAL JOURNAL

JF - URAL MATHEMATICAL JOURNAL

SN - 2414-3952

IS - 1(2)

ER -