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Optimization and Control of Dynamic Systems

Foundations, Main Developments, Examples and Challenges

  • Henryk Górecki
Book

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 107)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Henryk Górecki
    Pages 1-9
  3. Henryk Górecki
    Pages 11-26
  4. Henryk Górecki
    Pages 27-90
  5. Henryk Górecki
    Pages 185-235
  6. Henryk Górecki
    Pages 237-273
  7. Henryk Górecki
    Pages 373-414
  8. Henryk Górecki
    Pages 415-435
  9. Henryk Górecki
    Pages 437-518
  10. Henryk Górecki
    Pages 519-550
  11. Henryk Górecki
    Pages 551-570
  12. Henryk Górecki
    Pages 665-666

About this book

Introduction

This book offers a comprehensive presentation of optimization and polyoptimization methods. The examples included are taken from various domains: mechanics, electrical engineering, economy, informatics, and automatic control, making the book especially attractive. With the motto “from general abstraction to practical examples,” it presents the theory and applications of optimization step by step, from the function of one variable and functions of many variables with constraints, to infinite dimensional problems (calculus of variations), a continuation of which are optimization methods of dynamical systems, that is, dynamic programming and the maximum principle, and finishing with polyoptimization methods. It includes numerous practical examples, e.g., optimization of hierarchical systems, optimization of time-delay systems, rocket stabilization modeled by balancing a stick on a finger, a simplified version of the journey to the moon, optimization of hybrid systems and of the electrical long transmission line, analytical determination of extremal errors in dynamical systems of the rth order, multicriteria optimization with safety margins (the skeleton method), and ending with a dynamic model of bicycle.

The book is aimed at readers who wish to study modern optimization methods, from problem formulation and proofs to practical applications illustrated by inspiring concrete examples.

Keywords

Vector Optimization Control Challenges of Dynamic Systems Foundations of Dynamic Systems Polyoptimization Control Systems

Authors and affiliations

  • Henryk Górecki
    • 1
  1. 1.Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical EngineeringAGH University of Science and TechnologyKrakówPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-62646-8
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-62645-1
  • Online ISBN 978-3-319-62646-8
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site
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