Optimization and Multiobjective Control of Time-Discrete Systems Dynamic Networks and Multilayered Structures

The study of discrete structures and networks becomes more and more important in decision theory. A relevant topic in modern control theory reflecting this fact is concerned with multiobjective control problems and dynamical games. The monograph presents recent developments and applications in the f...

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Bibliographic Details
Main Author: Lozovanu, Dmitrii
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2009, 2009
Edition:1st ed. 2009
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Optimization and Multiobjective Control of Time-Discrete Systems  |h Elektronische Ressource  |b Dynamic Networks and Multilayered Structures  |c by Dmitrii Lozovanu 
250 |a 1st ed. 2009 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2009, 2009 
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505 0 |a Multi-Objective Control of Time-Discrete Systems and Dynamic Games on Networks -- Max-Min Control Problems and Solving Zero-Sum Games on Networks -- Extension and Generalization of Discrete Control Problems and Algorithmic Approaches for its Solving -- Discrete Control and Optimal Dynamic Flow Problems on Networks -- Applications and Related Topics 
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653 |a Operations research 
653 |a Control, Robotics, Automation 
653 |a Calculus of Variations and Optimization 
653 |a Security systems 
653 |a Control engineering 
653 |a Robotics 
653 |a Automation 
653 |a Mathematical optimization 
653 |a Operations Research and Decision Theory 
653 |a Calculus of variations 
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520 |a The study of discrete structures and networks becomes more and more important in decision theory. A relevant topic in modern control theory reflecting this fact is concerned with multiobjective control problems and dynamical games. The monograph presents recent developments and applications in the field of multiobjective control of time-discrete systems with a finite set of states. The dynamics of such systems is described by a directed graph in which each vertex corresponds to a dynamic state and the edges correspond to transitions of the system moving from one state to another. This characterization allows us to formulate the considered control models on special dynamic networks. Suitable algorithms are derived exploiting multilayered structures. Game theoretical properties are characterized. A multilayered game on a network can be used to model a certain trading procedure of emission certificates within Kyoto process. Optimal economic behavior and equilibria can be determined