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  • © 2018

Optimization and Control of Dynamic Systems

Foundations, Main Developments, Examples and Challenges

Authors:

  • Provides a comprehensive presentation of the very essence, characteristic features, and development of optimization methods
  • Presents polyoptimization – optimization with a vector-valued objective function of several variables
  • Features complemented relevant properties, a number of algorithmic considerations, illustrations, and abundant examples and challenges
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xxi
  2. Introduction

    • Henryk Górecki
    Pages 1-9
  3. Logics

    • Henryk Górecki
    Pages 11-26
  4. Some Fundamental Mathematical Models

    • Henryk Górecki
    Pages 27-90
  5. Unconstrained Extrema of Functions

    • Henryk Górecki
    Pages 185-235
  6. Extrema Subject to Equality Constraints

    • Henryk Górecki
    Pages 237-273
  7. Elements of Variational Calculus

    • Henryk Górecki
    Pages 373-414
  8. Dynamic Optimization of Systems

    • Henryk Górecki
    Pages 415-435
  9. Maximum Principle

    • Henryk Górecki
    Pages 437-518
  10. Dynamic Programming [1, 2, 4, 5]

    • Henryk Górecki
    Pages 519-550
  11. Linear Quadratic Problems [1]

    • Henryk Górecki
    Pages 551-570
  12. Concluding Remarks

    • Henryk Górecki
    Pages 665-666

About this book

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.


Authors and Affiliations

  • Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Science and Technology, Kraków, Poland

    Henryk Górecki

Bibliographic Information

  • Book Title: Optimization and Control of Dynamic Systems

  • Book Subtitle: Foundations, Main Developments, Examples and Challenges

  • Authors: Henryk Górecki

  • Series Title: Studies in Systems, Decision and Control

  • DOI: https://doi.org/10.1007/978-3-319-62646-8

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-62645-1Published: 07 August 2017

  • Softcover ISBN: 978-3-319-87362-6Published: 07 August 2018

  • eBook ISBN: 978-3-319-62646-8Published: 26 July 2017

  • Series ISSN: 2198-4182

  • Series E-ISSN: 2198-4190

  • Edition Number: 1

  • Number of Pages: XXI, 666

  • Number of Illustrations: 172 b/w illustrations

  • Topics: Control and Systems Theory, Complexity

Buy it now

Buying options

eBook USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access