Turnpike phenomenon for a class of optimal control problems with a Lyapunov function

ABSTRACT

In this paper we prove several turnpike results for trajectories of discrete disperse dynamical systems introduced in 1980 by A. M. Rubinov, which have a prototype in mathematical economics.

KEYWORDS:

• Compact metric space
• global attractor
• Lyapunov function
• set-valued mapping
• turnpike

2010 MATHEMATICS SUBJECT CLASSIFICATIONS:

• 37B25
• 49J53
• 54E35
• 93D30

Disclosure statement

No potential conflict of interest was reported by the author.