Minimax Control of Discrete-Time Stochastic Systems
Autor: | Onésimo Hernández-Lerma, J. I. González-Trejo, L. F. Hoyos-Reyes |
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Rok vydání: | 2002 |
Předmět: | |
Zdroj: | SIAM Journal on Control and Optimization. 41:1626-1659 |
ISSN: | 1095-7138 0363-0129 |
DOI: | 10.1137/s0363012901383837 |
Popis: | This paper gives a unified, self-contained presentation of minimax control problems for discrete-time stochastic systems on Borel spaces, with possibly unbounded costs. The main results include conditions for the existence of minimax strategies for finite-horizon problems and infinite-horizon discounted and undiscounted (average) cost criteria. The results are specialized to control systems with unknown disturbance distributions---also known as games against nature. Two examples illustrate the theory, one of them on the mold level control problem, which is a key problem in the steelmaking industry. |
Databáze: | OpenAIRE |
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