Optimization and Multiobjective Control of Time-Discrete Systems

Dynamic Networks and Multilayered Structures

  • Stefan  Pickl
  • Dmitrii Lozovanu

Table of contents

  1. Front Matter
    Pages 1-13
  2. Dmitrii Lozovanu, Stefan Pickl
    Pages 1-43
  3. Dmitrii Lozovanu, Stefan Pickl
    Pages 1-52
  4. Dmitrii Lozovanu, Stefan Pickl
    Pages 1-42
  5. Back Matter
    Pages 1-10

About this book

Introduction

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.

Keywords

Dynamical Games Multiobjective Control Network Transit algorithms control control theory decision theory optimization

Authors and affiliations

  • Stefan  Pickl
  • Dmitrii Lozovanu

There are no affiliations available

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-85025-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-85024-3
  • Online ISBN 978-3-540-85025-0
  • About this book