Minimax Control of Discrete-Time Stochastic Systems

Autor: Onésimo Hernández-Lerma, J. I. González-Trejo, L. F. Hoyos-Reyes
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