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Risk-sensitive control of finite state machines on an infinite horizon. II. (English) Zbl 0933.93078

[For part I, see ibid. 35, No. 5, 1790-1810 (1997; Zbl 0891.93085).]
The authors investigate the infinite horizon, partially observed risk-sensitive control problems with finite state space and long run average cost. Defining an appropriate information state, they solve the dynamic programming equation, which is a nonlinear eigenvalue problem, and derive an optimal output feedback control. They also analyze stochastic dynamic games and robust control problems related to their results.
Reviewer: M.Nisio (Osaka)

MSC:

93E20 Optimal stochastic control
93B36 \(H^\infty\)-control
91A15 Stochastic games, stochastic differential games
91A50 Discrete-time games

Citations:

Zbl 0891.93085
Full Text: DOI