Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems

Davydov, A.A., Mena-Matos, H., & Moreira, C.S. (2015). Generic profit singularities in time averaged optimization for phase transitions in polydynamical systems. Journal of Mathematical Analysis and Applications 424 (1) 704-726. 10.1016/j.jmaa.2014.11.039.

Full text not available from this repository.

Abstract

We consider the optimization problem that consists in maximizing the time averaged profit for a motion of a smooth polydynamical system on the circle in the presence of a smooth profit density. When the problem depends on a k-dimensional parameter the optimal averaged profit is a function of the parameter. It is known that an optimal motion can always be selected among stationary strategies and a special type of periodic cyclic motions called "level cycles". We present the classification of all generic singularities of the optimal averaged profit when k <= 2 for phase transitions between these two optimal strategies.

Item Type:	Article
Uncontrolled Keywords:	Singularities; Averaged optimization; Control systems
Research Programs:	Advanced Systems Analysis (ASA)
Bibliographic Reference:	Journal of Mathematical Analysis and Applications; 424(1):704-726 (1 April 2015) (Published online 24 November 2014)
Depositing User:	IIASA Import
Date Deposited:	15 Jan 2016 08:53
Last Modified:	27 Aug 2021 17:40
URI:	https://pure.iiasa.ac.at/11536

Actions (login required)

View Item