Fractional Order Control and Synchronization of Chaotic Systems

  • Ahmad Taher Azar
  • Sundarapandian Vaidyanathan
  • Adel Ouannas

Part of the Studies in Computational Intelligence book series (SCI, volume 688)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Fractional Order Control Systems

    1. Front Matter
      Pages 1-1
    2. Amanvir Singh Sidana, Akarsh Kumar, Akshit Kanda, Vineet Kumar, K. P. S. Rana
      Pages 57-90
    3. Carlos Muñiz-Montero, Luis A. Sánchez-Gaspariano, Carlos Sánchez-López, Víctor R. González-Díaz, Esteban Tlelo-Cuautle
      Pages 131-164
    4. Magdy A.S. Aboelela, Hisham M. Soliman
      Pages 253-275
    5. M. El-Sayed M. Essa, Magdy A. S. Aboelela, M. A. M. Hassan
      Pages 277-324
    6. Ahmed G. Radwan, Wafaa S. Sayed, Salwa K. Abd-El-Hafiz
      Pages 325-355
    7. Sundarapandian Vaidyanathan, Quanmin Zhu, Ahmad Taher Azar
      Pages 357-385
    8. Anchan Saxena, Apeksha Tandon, Awadhi Saxena, K. P. S. Rana, Vineet Kumar
      Pages 387-430
    9. M. K. Shukla, B. B. Sharma
      Pages 431-445
  3. Applications of Fractional Order Chaotic Systems

    1. Front Matter
      Pages 447-447
    2. Viet-Thanh Pham, Sundarapandian Vaidyanathan, Christos K. Volos, Ahmad Taher Azar, Thang Manh Hoang, Vu Van Yem
      Pages 449-470
    3. Adel Ouannas, Ahmad Taher Azar, Toufik Ziar, Sundarapandian Vaidyanathan
      Pages 497-524
    4. Adel Ouannas, Ahmad Taher Azar, Toufik Ziar, Sundarapandian Vaidyanathan
      Pages 525-551
    5. J. M. Munoz-Pacheco, V. R. González Díaz, L. C. Gómez-Pavón, S. Romero-Camacho, F. Sánchez-Guzmán, J. Mateo-Juárez et al.
      Pages 553-579
    6. Adel Ouannas, Toufik Ziar, Ahmad Taher Azar, Sundarapandian Vaidyanathan
      Pages 581-611
    7. Viet-Thanh Pham, Sundarapandian Vaidyanathan, Christos K. Volos, Sajad Jafari, Tomas Gotthans
      Pages 613-635
    8. Adel Ouannas, Ahmad Taher Azar, Toufik Ziar, Ahmed G. Radwan
      Pages 671-697
    9. Abir Lassoued, Olfa Boubaker
      Pages 699-718
    10. Sundarapandian Vaidyanathan, Ahmad Taher Azar, Adel Ouannas
      Pages 773-803
    11. C. H. Pimentel-Romero, J. M. Munoz-Pacheco, O. Felix-Beltran, L. C. Gomez-Pavon, Ch. K. Volos
      Pages 805-832
    12. Kheireddine Lamamra, Sundarapandian Vaidyanathan, Ahmad Taher Azar, Chokri Ben Salah
      Pages 833-856
    13. Afef Ben Saad, Olfa Boubaker
      Pages 857-877

About this book


The book reports on the latest advances in and applications of fractional order control and synchronization of chaotic systems, explaining the concepts involved in a clear, matter-of-fact style. It consists of 30 original contributions written by eminent scientists and active researchers in the field that address theories, methods and applications in a number of research areas related to fractional order control and synchronization of chaotic systems, such as: fractional chaotic systems, hyperchaotic systems, complex systems, fractional order discrete chaotic systems, chaos control, chaos synchronization, jerk circuits, fractional chaotic systems with hidden attractors, neural network, fuzzy logic controllers, behavioral modeling, robust and adaptive control, sliding mode control, different types of synchronization, circuit realization of chaotic systems, etc.

In addition to providing readers extensive information on chaos fundamentals, fractional calculus, fractional differential equations, fractional control and stability, the book also discusses key applications of fractional order chaotic systems, as well as multidisciplinary solutions developed via control modeling. As such, it offers the perfect reference guide for graduate students, researchers and practitioners in the areas of fractional order control systems and fractional order chaotic systems.


Fuzzy Fractional Order Controller Fractional-order Integrator Fractional Calculus Hyperchaotic Systems Modeling of Physical Systems Chaos Anti-synchronization Chaos Analysis Chaos Anti-control Chaotic Electronics Chaos-based Digital Communication

Editors and affiliations

  • Ahmad Taher Azar
    • 1
  • Sundarapandian Vaidyanathan
    • 2
  • Adel Ouannas
    • 3
  1. 1.Faculty of Computers and InformationBenha University Faculty of Computers and Information, AND Nanoelectronics Integrated Systems Center (NISC), Nile University, Egypt. BenhaEgypt
  2. 2.Research and Development CentreVel Tech University Research and Development CentreChennaiIndia
  3. 3.Department of Mathematics and CSUniversity of Tebessa Department of Mathematics and CSTebessaAlgeria

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-50248-9
  • Online ISBN 978-3-319-50249-6
  • Series Print ISSN 1860-949X
  • Series Online ISSN 1860-9503
  • Buy this book on publisher's site