Turnpike theorem for terminal functionals in infinite horizon optimal control problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:428

Article

Mammadov, Musa¹  Evans, Robin J.¹ 

[1] Univ Melbourne, Parkville, Vic 3010, Australia

关键词: Turnpike property;    Differential inclusions;    Optimal control;    Terminal functional;    Asymptotic stability;   

DOI  :  10.1016/j.jmaa.2015.03.048

来源: Elsevier

【 摘 要 】

An optimal control problem for continuous time systems described by a special class of multi-valued mappings and quasi-concave utility functions is considered. The objective is defined as an analogue of the terminal functional defined over an infinite time horizon. An upper bound of this functional over all solutions to the system is established. The turnpike property is proved which states that all optimal solutions converge to some unique optimal stationary point. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free