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Analysis and Control of Complex Dynamical Systems

Robust Bifurcation, Dynamic Attractors, and Network Complexity

  • Book
  • © 2015

Overview

Editors:
  1. Kazuyuki Aihara

    1. The University of Tokyo, Tokyo, Japan

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  2. Jun-ichi Imura

    1. Tokyo Institute of Technology, Tokyo, Japan

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  3. Tetsushi Ueta

    1. Tokushima University, Tokushima, Japan

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  • Is the first book to focus on integrated research topics from dynamical systems theory and control theory
  • Contributes to a clearer understanding of analysis and control synthesis of complex systems
  • Is the outcome of the "Funding Program for World-Leading Innovative R&D on Science and Technology (FIRST Program)" of Japan
  • Comprises chapters by leading researchers in the field of dynamical systems theory and control theory
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics for Industry (MFI, volume 7)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Robust Bifurcation and Control

    1. Front Matter

      Pages 1-1
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    2. Dynamic Robust Bifurcation Analysis

      • Masaki Inoue, Jun-ichi Imura, Kenji Kashima, Kazuyuki Aihara
      Pages 3-19

    3. Robust Bifurcation Analysis Based on Degree of Stability

      • Hiroyuki Kitajima, Tetsuya Yoshinaga, Jun-ichi Imura, Kazuyuki Aihara
      Pages 21-31

    4. Use of a Matrix Inequality Technique for Avoiding Undesirable Bifurcation

      • Yasuaki Oishi, Mio Kobayashi, Tetsuya Yoshinaga
      Pages 33-40

    5. A Method for Constructing a Robust System Against Unexpected Parameter Variation

      • Hiroyuki Kitajima, Tetsuya Yoshinaga
      Pages 41-48

    6. Parametric Control to Avoid Bifurcation Based on Maximum Local Lyapunov Exponent

      • Ken’ichi Fujimoto, Tetsuya Yoshinaga, Tetsushi Ueta, Kazuyuki Aihara
      Pages 49-55

    7. Threshold Control for Stabilization of Unstable Periodic Orbits in Chaotic Hybrid Systems

      • Daisuke Ito, Tetsushi Ueta, Takuji Kousaka, Jun-ichi Imura, Kazuyuki Aihara
      Pages 57-73

  3. Dynamic Attractor and Control

    1. Front Matter

      Pages 75-75
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    2. Chaotic Behavior of Orthogonally Projective Triangle Folding Map

      • Jun Nishimura, Tomohisa Hayakawa
      Pages 77-90

    3. Stabilization Control of Quasi-periodic Orbits

      • Natushiro Ichinose, Motomassa Komuro
      Pages 91-107

    4. Feedback Control Method Based on Predicted Future States for Controlling Chaos

      • Miki U. Kobayashi, Tetsushi Ueta, Kazuyuki Aihara
      Pages 109-120

    5. Ultra-discretization of Nonlinear Control Systems with Spatial Symmetry

      • Masato Ishikawa, Takuto Kita
      Pages 121-140

    6. Feedback Control of Spatial Patterns in Reaction-Diffusion Systems

      • Kenji Kashima, Toshiyuki Ogawa
      Pages 141-160

    7. Control of Unstabilizable Switched Systems

      • Shun-ichi Azuma, Tomomi Takegami, Yoshito Hirata
      Pages 161-169

  4. Complex Networks and Modeling for Control

    1. Front Matter

      Pages 171-171
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    2. Clustered Model Reduction of Large-Scale Bidirectional Networks

      • Takayuki Ishizaki, Kenji Kashima, Jun-ichi Imura, Kazuyuki Aihara
      Pages 173-189

    3. Network Structure Identification from a Small Number of Inputs/Outputs

      • Masayasu Suzuki, Jun-ichi Imura, Kazuyuki Aihara
      Pages 191-208

  5. Back Matter

    Pages 209-211
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Keywords

About this book

This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory. As well, its basic point of view is of three kinds of complexity: bifurcation phenomena subject to model uncertainty, complex behavior including periodic/quasi-periodic orbits as well as chaotic orbits, and network complexity emerging from dynamical interactions between subsystems. Analysis and Control of Complex Dynamical Systems offers a valuable resource for mathematicians, physicists, and biophysicists, as well as for researchers in nonlinear science and control engineering, allowing them to develop a better fundamental understanding of the analysis and control synthesis of such complex systems.

Editors and Affiliations

  • The University of Tokyo, Tokyo, Japan

    Kazuyuki Aihara

  • Tokyo Institute of Technology, Tokyo, Japan

    Jun-ichi Imura

  • Tokushima University, Tokushima, Japan

    Tetsushi Ueta

Bibliographic Information

  • Book Title: Analysis and Control of Complex Dynamical Systems

  • Book Subtitle: Robust Bifurcation, Dynamic Attractors, and Network Complexity

  • Editors: Kazuyuki Aihara, Jun-ichi Imura, Tetsushi Ueta

  • Series Title: Mathematics for Industry

  • DOI: https://doi.org/10.1007/978-4-431-55013-6

  • Publisher: Springer Tokyo

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Japan 2015

  • Hardcover ISBN: 978-4-431-55012-9Published: 31 March 2015

  • Softcover ISBN: 978-4-431-56387-7Published: 09 October 2016

  • eBook ISBN: 978-4-431-55013-6Published: 20 March 2015

  • Series ISSN: 2198-350X

  • Series E-ISSN: 2198-3518

  • Edition Number: 1

  • Number of Pages: XIV, 211

  • Number of Illustrations: 58 b/w illustrations, 45 illustrations in colour

  • Topics: Vibration, Dynamical Systems, Control, Complexity, Applications of Graph Theory and Complex Networks, Complex Systems

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