Macrosystems are systems in which the stochastic behaviour of the elements is transformed into deterministic behaviour of the system as a whole. This publication discusses equilibrium in these systems. Mathematical models of stationary states using the principle of maximum entropy are presented. This is developed and generalized for macrosystems with constrained resources. Parametric properties which characterize a model's response to data variations are discussed. The author has developed new computational methods for the computer-aided realization of stationary state models. Algorithms and computer experiments are evaluated. Mathematical modelling methods are applied to problems of hierarchical structures, interregional product exchange and image reconstruction.

Bibliographic Information

Book Title: Macrosystems Theory and its Applications
Book Subtitle: Equilibrium Models
Authors: Yury S. Popkov
Series Title: Lecture Notes in Control and Information Sciences
DOI: https://doi.org/10.1007/BFb0032256
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Softcover ISBN: 978-3-540-19955-7Published: 25 April 1995
eBook ISBN: 978-3-540-39369-6Published: 11 December 2005
Series ISSN: 0170-8643
Series E-ISSN: 1610-7411
Edition Number: 1
Number of Pages: XIII, 327
Topics: Control, Robotics, Mechatronics, Numerical Analysis

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Macrosystems Theory and its Applications

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Table of contents (7 chapters)

Front Matter

Macrosystems: Definitions and examples

Models of stationary states for homogeneous macrosystems

Parametric properties of MSS

Computational methods for determining the stationary states of homogeneous macrosystems

Probabilistic hierarchical structures

Modelling and analysis of interregional exchange of construction materials

Image reconstruction

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