The extremal principle

In this paper stationary regimes of open macro-systems that include active subsystems (with controlled parameters) near equilibrium are considered. A generalized Prigogine extremal principle for such systems is formulated and proved. The conditions on optimal behavior of active subsystems in such systems are derived. It is shown that the obtained general results can be specified for thermodynamic and microeconomic systems to obtain the heat engine maximal power, the minimal irreversible work of separation, the limiting productivity of heat driven separation and the maximal capital extraction.

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Optimality conditions for a d.c. set-valued problem via the extremal principle

Optimization with Multivalued Mappings - Springer Optimization and Its Applications ◽

10.1007/0-387-34221-4_12 ◽

2006 ◽

pp. 251-264 ◽

Cited By ~ 1

Author(s):

N. Gadhi

Keyword(s):

Optimality Conditions ◽

Extremal Principle

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Modelling the Diffusional Transformation by Application of the Thermodynamic Extremal Principle

Solid State Transformation and Heat Treatment ◽

10.1002/3527604839.ch4 ◽

2005 ◽

pp. 26-33

Author(s):

J. Svoboda ◽

E. Gamsjäger ◽

F.D. Fischer

Keyword(s):

Extremal Principle ◽

Diffusional Transformation

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Dissipation and Conditions of Equilibrium for an Open Microeconomic System

Open Systems & Information Dynamics ◽

10.1023/a:1011958701019 ◽

2001 ◽

Vol 08 (02) ◽

pp. 157-168 ◽

Cited By ~ 7

Author(s):

Anatolii Tsirlin ◽

Sergey Amelkin

Keyword(s):

Optimal Control ◽

Stationary State ◽

Irreversible Thermodynamic ◽

Extremal Principle ◽

Minimal Dissipation

An analogy between microeconomic and irreversible thermodynamic systems is shown. The concepts of economic irreversibility, dissipation of capital are introduced and conditions of minimal dissipation are obtained. Problems of optimal control of prices in the processes of resources exchange are solved and the extremal principle for the determination of stationary state of an open microeconomic system is formulated.

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