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.
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 |