A two-sided game for non local competitive systems with control on source terms

S. Lenhart, V. Protopopescu, S. Stojanovic

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

A two-sided game for the control of a stationary semilinear competitive system with nonlocal interaction terms is considered. The controls of the system are the autonomous sources. The saddle point of the system, i.e., the optimal solution of the game, is characterized as the unique solution of the associated optimality system (OS). The OS consists of two elliptic PDE (partial differential equation) state equations coupled with two adjoint equations. The solution of the OS is constructed by an alternating monotonic iteration scheme.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages1838-1839
Number of pages2
ISBN (Print)0780304500
StatePublished - 1991
Externally publishedYes
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: Dec 11 1991Dec 13 1991

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2
ISSN (Print)0191-2216

Conference

ConferenceProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period12/11/9112/13/91

Fingerprint

Dive into the research topics of 'A two-sided game for non local competitive systems with control on source terms'. Together they form a unique fingerprint.

Cite this