Robust Synchronization of Chaotic Systems via Feedback

1. Front Matter

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2. Introduction to Chaos Control: An Interdisciplinary Problem

   • Ricardo Femat, Gualberto Solis-Perales

   Pages 1-5

3. Chaos Suppression with Least Prior Knowledge: Continuous Time Feedback

   • Ricardo Femat, Gualberto Solis-Perales

   Pages 7-50

4. Robust Synchronization of Chaotic Systems: A Proportional Integral Approach

   • Ricardo Femat, Gualberto Solis-Perales

   Pages 51-97

5. Robust Synchronization Via Geometrical Control: A General Framework

   • Ricardo Femat, Gualberto Solis-Perales

   Pages 99-137

6. Discrete-Time Feedback for Chaos Control and Synchronization

   • Ricardo Femat, Gualberto Solis-Perales

   Pages 139-175

7. Remarks on Chaos Synchronizability and Synchronization

   • Ricardo Femat, Gualberto Solis-Perales

   Pages 177-195

8. Back Matter

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This pages include the results derived during last ten years about both suppression and synchronization of chaotic -continuous time- systems. Along this time, our concept was to study how the intrinsic properties of dynamical systems can be exploited to suppress and to synchronize the chaotic behavior and what synchronization phen- ena can be found under feedback interconnection. Our findings have caused surprise to us and have stimulated our astonishing capability. Perhaps, reader can imagine our faces with opens eyes like children seeing around objects; which are possibly obvious for others and novel for us. A compilation of our surprises about these findings is being described along this book. Book contains both objectives to share our ama- ment and to show our perspective on synchronization of chaotic systems. Thus, while we were writing the preface, we discussed its scope. Thinking as a book readers, we found that a preface should answer, in few words, the following question: What can the reader find in this book?, reader can find our steps toward understanding of c- otic behavior and the possibility of suppressing and synchronizing it. We firstly show the chaos suppression form experimental domain to potential implementation in high tech system as a levitation system based on High Temperature Superconductors (HTS). This chapter is used as departing point towards a more complicated problem the chaotic synchronization. Then, reader travels by the synchronization of the chaotic behavior world throughout distinct feedback approaches.

• Chaos Suppression
• Chaotic Synchronization
• Robust Feedback Control
• control
• feedback

From the reviews: “The text is the result of a study done by the authors during the last decade to understand how the intrinsic properties of dynamical systems can be exploited in order to suppress or to synchronize the chaotic evolutions. … the book is clearly appropriate for researchers and engineers interested in theoretical or practical implications of chaos control.” (Emilia Petrisor, Mathematical Reviews, Issue 2010 d)

• Departamento de Matemáticas Aplicadas, Camino a la Presa San José 2055, San Luis Potosí, México

  Ricardo Femat

• Centro Universitario de Ciencias Exactas e Ingenierías División de Electrónica y Computación, Universidad de Guadalajara, Guadalajara, México

  Gualberto Solis-Perales

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