Analysis and Control of Complex Dynamical Systems

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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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.

• Chaotic Orbits
• Complex Dynamics
• FIRST Program
• Network Complexity
• Quasi-periodic Solutions
• Robust Bifurcation
• complexity

• The University of Tokyo, Tokyo, Japan

  Kazuyuki Aihara

• Tokyo Institute of Technology, Tokyo, Japan

  Jun-ichi Imura

• Tokushima University, Tokushima, Japan

  Tetsushi Ueta

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