On designing a reconstruction-control algorithm for an ecological-economic model

V. I. Maksimov<sup>ab

a</sup> Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: A control problem for the Nordhaus ecological-economic model is considered. The problem consists in constructing an algorithm for the stable generation of control characteristics that provide a given quality of the process in the case when only a part of the phase coordinates are measured and uncontrolled disturbances act on the system. We design such an algorithm (a reconstruction-control controller) using the feedback control method. The algortihm consists of two blocks, the online reconstruction and positional control, which are based on appropriate modifications of N. N. Krasovskii's extremal shift method.

Keywords: dynamic reconstruction, method of auxiliary models.

UDC: 517.977

Received: 10.02.2013

 English version: Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2014, 287, suppl. 1, S102–S115

Bibliographic databases:

• 
• 
• 
•