Bellman Equations of Risk-Sensitive Control
Author:
- H. NagaiHNH. Nagai
- 1 January 1996
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control and Optimization
- Vol. 34 (1) , 74-101
Abstract
Risk-sensitive control problems are considered. Existence of a nonnegative solution to the Bellman equation of risk-sensitive control is shown. The result is applied to prove that no breaking down occurs. Asymptotic behaviour of the nonnegative solution is studied in relation to ergodic control problems and the relationship between the asymptotics and the large deviation principle is noted.Keywords
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