IJPAM: Volume 39, No. 2 (2007)

AN OPTIMAL CONTROL PROBLEM IN A MODEL OF
THE INTERNATIONAL MARKET FOR
EMISSIONS PERMITS

Alexey Kadiev$^1$, Vyacheslav Maksimov$^2$, Valerii Rozenberg$^3$
$^{1,2,3}$Institute of Mathematics and Mechanics
Ural Branch of
RAS - Russian Academy of Sciences
16, S. Kovalevskoi Str., Ekaterinburg, 620219, RUSSIA
$^1$e-mail: kadiev@imm.uran.ru
$^2$e-mail: maksimov@imm.uran.ru
$^3$e-mail: rozen@imm.uran.ru


Abstract.Within the framework of investigation of important for Russia aspects of the Kyoto Protocol, a simplified dynamical model of the international market for greenhouse gases emissions permits is considered. An optimal control problem is formulated, and a procedure for constructing optimal strategies of Russia's behavior is suggested. A possibility of obtaining algorithm's input data from integrated assessment models is discussed. A specific numerical analysis is performed.

Received: June 20, 2007

AMS Subject Classification: 49J15

Key Words and Phrases: optimal control, phase constraints, numerical methods

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 39
Issue: 2