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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2008 Volume 14, Number 2, Pages 192–200 (Mi timm35)

This article is cited in 2 papers

Differential equations

Minimax risk (regret) strategy for one class of control problems under dynamic disturbances

D. A. Serkov


Abstract: A controlled system under dynamic disturbances is considered. We formulate the problem of finding a strategy that is optimal in the sense of Savage's minimax risk (regret) criterion, list basic properties of such problems, and describe a construction of a strategy optimal in the above sense for one class of systems containing linear systems.

UDC: 517.977

Received: 05.02.2008


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2008, 263, suppl. 2, S202–S211

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