Generic Profit Singularities in Time-Averaged Optimization for Cyclic Processes in Polydynamical Systems

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Davydov, AA (Author) Other; Mena Matos, H (Author) FCUP; Moreira, CS (Author) Other

Journal

Title: Journal of Mathematical Sciences

Vol. 199

Pages: 510-534

ISSN: 1072-3374

Publisher: Springer Nature

Indexing

ISI Web of Knowledge

Scopus - 1 Citation

Other information

Authenticus ID: P-009-KKA

DOI: 10.1007/s10958-014-1879-y

Abstract (EN): We consider the optimization problem of maximizing the time-averaged profit for the motion of a smooth polydynamical system on the circle in the presence of a smooth profit density. If the problem depends on a k-dimensional parameter, then the optimal averaged profit is a function of the parameter. It is known from [4] that an optimal motion can always be selected among stationary strategies and a special type of periodic motions called level cycles. We present a classification of all generic singularities of the optimal averaged profit if k ¿ 2 and the maximum is provided by level cycles. © 2014 Springer Science+Business Media New York.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 25